Relevant bibliographies by topics / Gibbs potential

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  2. Dissertations / Theses
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Academic literature on the topic 'Gibbs potential'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Gibbs potential"

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Lee, M. Howard. "Chemical potential: Gibbs-Duhem approach." Physical Review E 53, no. 5 (May 1, 1996): 5488–90. http://dx.doi.org/10.1103/physreve.53.5488.

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Chen, Long-Qing. "Chemical potential and Gibbs free energy." MRS Bulletin 44, no. 7 (July 2019): 520–23. http://dx.doi.org/10.1557/mrs.2019.162.

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Castillo, Enrique, Juan Ferrándiz, and Pilar Sanmartı́n. "Potential approach in marginalizing Gibbs models." International Journal of Approximate Reasoning 21, no. 3 (August 1999): 257–90. http://dx.doi.org/10.1016/s0888-613x(99)00026-2.

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SHINOHARA, TADATOMI, MARTIN V. SMALLEY, and IKUO S. SOGAMI. "GIBBS FREE ENERGY OF A SYSTEM OF TWO HIGHLY CHARGED PLATES IMMERSED IN AN ELECTROLYTE." International Journal of Modern Physics B 19, no. 20 (August 10, 2005): 3217–41. http://dx.doi.org/10.1142/s0217979205032061.

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The Gibbs free energy of two highly charged plates immersed in an electrolyte solution in a finite container is investigated using mean field theory. Adiabatic potential of the charged plates, which is derived from the Gibbs free energy, has a long-range weak attractive part and medium range strong repulsive part under the Dirichlet boundary condition. From comparison with the Helmholtz adiabatic potential, it is proved that the two adiabatic potentials have qualitatively the same structure of a repulsive component and an attractive component and that the Gibbs adiabatic potential shows the stronger attractive effect.
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Feistel, Rainer, and Eberhard Hagen. "On the GIBBS thermodynamic potential of seawater." Progress in Oceanography 36, no. 4 (January 1995): 249–327. http://dx.doi.org/10.1016/0079-6611(96)00001-8.

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Feistel, Rainer, and Eberhard Hagen. "A Gibbs thermodynamic potential of sea ice." Cold Regions Science and Technology 28, no. 2 (October 1998): 83–142. http://dx.doi.org/10.1016/s0165-232x(98)00014-7.

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HARIYA, YUU, and HIROFUMI OSADA. "DIFFUSION PROCESSES ON PATH SPACES WITH INTERACTIONS." Reviews in Mathematical Physics 13, no. 02 (February 2001): 199–220. http://dx.doi.org/10.1142/s0129055x01000661.

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We construct dynamics on path spaces C (ℝ; ℝ) and C([-r, r];ℝ) whose equilibrium states are Gibbs measures with free potential φ and interaction potential ψ. We do this by using the Dirichlet form theory under very mild conditions on the regularity of potentials. We take the carré du champ similar to the one of the Ornstein–Uhlenbeck process on C([0, ∞);ℝ). Our dynamics are non-Gaussian because we take Gibbs measures as reference measures. Typical examples of free potentials are double-well potentials and interaction potentials are convex functions. In this case the associated infinite-volume Gibbs measures are singular to any Gaussian measures on C(ℝ;ℝ).
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Yang, Qiang, Chaoyi Li, and Yaoru Liu. "Time-Independent Plasticity Formulated by Inelastic Differential of Free Energy Function." Journal of Non-Equilibrium Thermodynamics 46, no. 3 (March 19, 2021): 221–34. http://dx.doi.org/10.1515/jnet-2020-0076.

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Abstract The authors presented a time-independent plasticity approach, where a typical plastic-loading process is viewed as an infinitesimal state change of two neighboring equilibrium states, and the yield and consistency conditions are formulated based on the conjugate forces of the internal variables. In this paper, a stability condition is proposed, and the yield, consistency, and stability conditions are reformatted by the inelastic differential form of the Gibbs free energy. The Gibbs equation in thermodynamics with internal variables is a representation to the differential form of the Gibbs free energy by a single Gibbs free energy function. In this paper, we propose the so-called extended Gibbs equation, where the differential form may be represented by multiple potential functions. Various associated and nonassociated plasticity with a single or multiple yield functions can be derived from various representations based on the reformulated approach, where yield and plastic potential functions are in the form of inelastic differentials of the potential functions. The generalized Drucker inequality can only be derived from the one-potential representation as a stability condition. For a multiple-potential representation, the stability condition can be ensured if the multiple potentials are concave functions and possess the same stationary point.
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Lee, M. Howard. "Chemical potential, Gibbs–Duhem equation and quantum gases." International Journal of Modern Physics B 31, no. 13 (March 2017): 1750104. http://dx.doi.org/10.1142/s0217979217501041.

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Thermodynamic relations like the Gibbs–Duhem are valid from the lowest to the highest temperatures. But they cannot by themselves provide any specific temperature behavior of thermodynamic functions like the chemical potential. In this work, we show that if some general conditions are attached to the Gibbs–Duhem equation, it is possible to obtain the low temperature form of the chemical potential for the ideal Fermi and Bose gases very directly.
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Feistel, Rainer. "A new extended Gibbs thermodynamic potential of seawater." Progress in Oceanography 58, no. 1 (July 2003): 43–114. http://dx.doi.org/10.1016/s0079-6611(03)00088-0.

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Dissertations / Theses on the topic "Gibbs potential"

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Chandgotia, Nishant. "Markov random fields and measures with nearest neighbour Gibbs potential." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/37000.

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This thesis will discuss the relationship between stationary Markov random fields and probability measures with a nearest neighbour Gibbs potential. While the relationship has been well explored when the measures are fully supported, we shall discuss what happens when we weaken this assumption.
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Roelly, Sylvie, and Myriam Fradon. "Infinite system of Brownian balls : equilibrium measures are canonical Gibbs." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2006/672/.

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We consider a system of infinitely many hard balls in Rd undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with a local time term. We prove that the set of all equilibrium measures, solution of a detailed balance equation, coincides with the set of canonical Gibbs measures associated to the hard core potential added to the smooth interaction potential.
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Fradon, Myriam, and Sylvie Roelly. "Infinite system of Brownian Balls: Equilibrium measures are canonical Gibbs." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2011/5159/.

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We consider a system of infinitely many hard balls in Rd undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional Stochastic Differential Equation with a local time term. We prove that the set of all equilibrium measures, solution of a Detailed Balance Equation, coincides with the set of canonical Gibbs measures associated to the hard core potential added to the smooth interaction potential.
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Bärtl, Mathias. "Ökonomische Teilchen und produktionstechnisches Potential : ein Teilchenkonzept in einer wirtschaftswissenschaftlichen Umsetzung der Gibbs-Falk-Dynamik /." Hamburg : Kovac, 2005. http://swbplus.bsz-bw.de/bsz117955566cov.htm.

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Fradon, Myriam, and Sylvie Roelly. "Infinite system of Brownian balls with interaction : the non-reversible case." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2011/5154/.

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We consider an infinite system of hard balls in Rd undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite- dimensional Stochastic Differential Equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.
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Oukili, Ahmed. "Reconstruction statistique 3D à partir d’un faible nombre de projections : application : coronarographie RX rotationnelle." Thesis, Rennes 1, 2015. http://www.theses.fr/2015REN1S109/document.

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La problématique de cette thèse concerne la reconstruction statistique itérative 3D de l'arbre coronaire, à partir d'un nombre très réduit d'angiogrammes coronariens (5 images). Pendant un examen rotationnel d'angiographie RX, seules les projections correspondant à la même phase cardiaque sont sélectionnées afin de vérifier la condition de non variabilité spatio-temporelle de l'objet à reconstruire (reconstruction statique). Le nombre restreint de projections complique cette reconstruction, considérée alors comme un problème inverse mal posé. La résolution d'un tel problème nécessite une procédure de régularisation. Pour ce faire, nous avons opté pour le formalisme bayésien en considérant la reconstruction comme le champ aléatoire maximisant la probabilité a posteriori (MAP), composée d'un terme quadratique de vraisemblance (attache aux données) et un a priori de Gibbs (à priori markovien basé sur une interprétation partielle de l'objet à reconstruire). La maximisation MAP adoptant un algorithme d'optimisation numérique nous a permis d'introduire une contrainte de lissage avec préservation de contours des reconstructions en choisissant adéquatement les fonctions de potentiel associées à l'énergie à priori. Dans ce manuscrit, nous avons discuté en détail des trois principales composantes d'une reconstruction statistique MAP performante, à savoir (1) l'élaboration d'un modèle physique précis du processus d'acquisition, (2) l'adoption d'un modèle à priori approprié et (3) la définition d'un algorithme d'optimisation itératif efficace. Cette discussion nous a conduit à proposer deux algorithmes itératifs MAP, MAP-MNR et MAP-ARTUR-GC, que nous avons testés et évalués sur des données simulées réalistes (données patient issues d'une acquisition CT- 64 multi-barrettes)
The problematic of this thesis concerns the statistical iterative 3D reconstruction of coronary tree from a very few number of coronary angiograms (5 images). During RX rotational angiographic exam, only projections corresponding to the same cardiac phase are selected in order to check the condition of space and time non-variability of the object to reconstruct (static reconstruction). The limited number of projections complicates the reconstruction, considered then as an illness inverse problem. The answer to a similar problem needs a regularization process. To do so, we choose baysian formalism considering the reconstruction as a random field maximizing the posterior probability (MAP), composed by quadratic likelihood terms (attached to data) and Gibbs prior (prior markovian based on a partial interpretation of the object to reconstruct). The MAP maximizing allowed us using a numerical optimization algorithm, to introduce a smoothing constraint and preserve the edges on the reconstruction while choosing wisely the potential functions associated to prior energy. In this paper, we have discussed in details the three components of efficient statistical reconstruction MAP, which are : 1- the construction of precise physical model of acquisition process; 2- the selection of an appropriate prior model; and 3- the definition of an efficient iterative optimization algorithm. This discussion lead us to propose two iterative algorithms MAP, MAP-MNR and MAP-ARTUR-GC, which we have tested and evaluated on realistic simulated data (Patient data from 64-slice CT)
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Lemire, Paul. "Métastabilité du modèle de Blume-Capel." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMR022/document.

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Les travaux de cette thèse portent sur l’étude de la métastabilité du modèle de Blume-Capel. Il s’agit d’un modèle introduit en 1966 dans lequel évoluent au cours du temps des spins à trois états +1, -1, 0, représentant respectivement une particulechargée positivement, négativement, et l’absence de particule, sur un réseau. La thèse est structurée en deux parties. La première partie contient un travail en collaboration avec C. Landim qui est paru dans la revue Journal of Statistical Physics. L’article traite du comportement métastable du modèle de Blume-Capel lorsque la température tend vers 0, dans le cas où la taille du domaine dans lequel vit le processus est fixée durant l’évolution. La seconde partie est consacrée à l’extension des résultats du premier papier au cas où la taille de la boite croît exponentiellement vite vers +1 lorsque la température décroît vers 0. Pour ce modèle, sur une très grande échelle de temps, trois états métastables subsistent, à savoir les états où le tore est respectivement remplis par des spins négatifs, positifs, ou "nuls". Il est démontré qu’avec probabilité 1, partant de la configuration n’ayant que des spins négatifs, le processus visite la configuration n’ayant que des spins "nuls" avant de visiter la configuration n’ayant que des spins positifs.Les résultats de la thèse consistent notamment à caractériser les configurations critiques et à fournir des estimations précises des temps d’atteinte des états stables
This thesis is about the study of the metastability of the Blume-Capel model. This model, introduced in 1966, is a nearest-neighbor spin system where the single spin variable takes three possible values +1, -1, 0. One can interpret it as a system ofparticles with spins. The value 0 of the spin corresponds to the absence of particle, whereas the values ± correspond to the presence of a particle with the respective spin. The thesis is divided in two parts. The first part is an article published in Journal of Statistical Physics with C. Landim. We prove the metastable behavior of the Blume-Capel model when the temperature decreases to 0 on a fixed size torus.The second part is dedicated to the generalization of these results to the case of a torus which size increases to +1 as the temperature decreases to 0. For this model, three metastable states -1, 0,+1 remain on a very large time scale, where -1, 0,+1 stand for the configuration where the torus is respectively filled with -1’s, 0’s and +1’s. We prove that starting from -1, the process visits 0 before reaching +1 with very high probability. We also caracterize the critical configurations and provide sharp estimates of the transition times
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Cofré, Rodrigo. "Statistique de potentiels d'action et distributions de Gibbs dans les réseaux de neurones." Thesis, Nice, 2014. http://www.theses.fr/2014NICE4078/document.

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Les neurones sensoriels réagissent à des stimuli externes en émettant des séquences de potentiels d’action (“spikes”). Ces spikes transmettent collectivement de l’information sur le stimulus en formant des motifs spatio-temporels qui constituent le code neural. On observe expérimentalement que ces motifs se produisent de façon irrégulière, mais avec une structure qui peut être mise en évidence par l’utilisation de descriptions probabilistes et de méthodes statistiques. Cependant, la caractérisation statistique des données expérimentales présente plusieurs contraintes majeures: en dehors de celles qui sont inhérentes aux statistiques empiriques comme la taille de l’échantillonnage, ‘le’ modèle statistique sous-jacent est inconnu. Dans cette thèse, nous abordons le problème d’un point de vue complémentaire à l’approche expérimentale. Nous nous intéressons à des modèles neuro-mimétiques permettant d’étudier la statistique collective des potentiels d’action et la façon dont elle dépend de l’architecture et l’histoire du réseau ainsi que du stimulus. Nous considérons tout d’abord un modèle de type Intègre-et-Tire à conductance incluant synapses électriques et chimiques. Nous montrons que la statistique des potentiels d’action est caractérisée par une distribution non stationnaire et de mémoire infinie, compatible avec les probabilités conditionnelles (left interval-specification), qui est non-nulle et continue, donc une distribution de Gibbs. Nous présentons ensuite une méthode qui permet d’unifier les modèles dits d’entropie maximale spatio-temporelle (dont la mesure invariante est une distribution de Gibbs dans le sens de Bowen) et les modèles neuro-mimétiques, en fou
Sensory neurons respond to external stimulus using sequences of action potentials (“spikes”). They convey collectively to the brain information about the stimulus using spatio-temporal patterns of spikes (spike trains), that constitute a “neural code”. Since spikes patterns occur irregularly (yet highly structured) both within and over repeated trials, it is reasonable to characterize them using statistical methods and probabilistic descriptions. However, the statistical characterization of experimental data presents several major constraints: apart from those inherent to empirical statistics like finite size sampling, ‘the’ underlying statistical model is unknown. In this thesis we adopt a complementary approach to experiments. We consider neuromimetic models allowing the study of collective spike trains statistics and how it depends on network architecture and history, as well as on the stimulus. First, we consider a conductance-based Integrate-and-Fire model with chemical and electric synapses. We show that the spike train statistics is characterized by non-stationary, infinite memory, distribution consistent with conditional probabilities (Left interval specifications), which is continuous and non null, thus a Gibbs distribution. Then, we present a novel method that allows us to unify spatio-temporal Maximum Entropy models (whose invariant measure are Gibbs distributions in the Bowen sense) and neuro-mimetic models, providing a solid ground towards biophysical explanation of spatio-temporal correlations observed in experimental data. Finally, using these tools, we discuss the stimulus response of retinal ganglion cells, and the possible generalization of the co
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Cubides, Victor Andres Vargas. "Sobre existência de estados de equilíbrio e limite em temperatura zero para shifts de Markov topologicamente mixing." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-25112016-214355/.

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O objetivo desta tese é demonstrar que para um subshift de Markov topologicamente transitivo com alfabeto enumerável e um potencial ƒ com pressão de Gurevic finita e variação limitada (ƒ) < ∞, existe um único estado de equilíbrio µtƒ para cada t > 1, e a família (µtƒ)t>1 tem um ponto de acumulação quando t > ∞. Além disso se também supomos que o ƒ é um potencial de Markov, demonstramos que a família de estados de equilíbrio (µtƒ)t>1 converge quando t > ∞. Finalmente demonstramos a continuidade em ∞ da entropia com respeito ao parâmetro t. Estes resultados não dependem da hipótese de existência de medidas de Gibbs.
The aim of this thesis is to prove that for a topologically transitive Markov subshift with countable alphabet and a summable potential ƒ with finite topological pressure Gurevic and bounded variation (ƒ) < ∞, there exists an equilibrium state µtƒ tf for each t > 1 and the family of equilibrium states (µtƒ)t>1 associated to each potential tf has an accumulation point at t > ∞. Moreover if we also assume that ƒ is a Markov potential we prove that the equilibrium states family (µtƒ)t>1 converges when t > ∞. Finally we prove the continuity at ∞ of the entropy with respect to the parameter t. These results do not depend on assuming the existence of Gibbs measures.
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Contreras, Camacho René Oliver. "Determinación del equilibrio líquido-vapor de agua, aromáticos y sus mezclas mediante simulación molecular." Doctoral thesis, Universitat Rovira i Virgili, 2002. http://hdl.handle.net/10803/8507.

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La simulación molecular presenta la ventaja de ofrecer un marco teórico importante para predecir propiedades termodinámicas y de transporte de fluidos con aplicaciones industriales. En este trabajo, se explotó está ventaja para predecir el equilibrio líquido vapor de agua, compuestos aromáticos y sus mezclas a condiciones tanto sub- como supercríticas. Se realizó una comparación de diferentes potenciales intermoleculares conocidos mediante el cálculo de propiedades termodinámicas de sistemas puros que sirvió de punto de partida para llevar a cabo una optimización de parámetros transferibles para un potencial intermolecular de agua y compuestos aromáticos. En el caso de agua, se llevo a cabo el análisis y evaluación de propiedades termodinámicas de un modelo simple de agua. En este modelo, las contribuciones electrostáticas se aproximan mediante interacciones de corto alcance en vez de las típicas fuerzas de Coulomb de largo alcance. En general, se han encontrado grandes desviaciones con respecto a los datos experimentales, tal como un valor de temperatura crítica de 360K, valor 50% alejado del valor experimental. Debido a que estos resultados nos indican la importancia de incluir las fuerzas de Coulomb en el modelo molecular empleado para reproducir correctamente las propiedades de agua, el trabajo de investigación se ha enfocado en la optimización de los parámetros de los potenciales TIP4P y SPC/E. Los resultados obtenidos muestran que es posible encontrar una mejor aproximación al punto crítico experimental a partir de la optimización del modelo SPC/E. Sin embargo, el buen acuerdo con los experimentos del modelo original a condiciones ambiente se pierde usando los parámetros del modelo optimizado. Por otro lado, la estimación de propiedades de compuestos aromáticos esta de acuerdo con los datos experimentales permitiendo la reproducción de la densidad de líquido saturado, presión de saturación y entalpía de vaporización para compuestos puros. Finalmente, en el caso de mezclas se ha aplicado el conjunto de parámetros obtenidos para aromáticos. Las propiedades termodinámicas de la mezcla binaria aromático-aromático y aromático agua son analizadas en un amplio rango de temperaturas y presiones. Las desviaciones encontradas entre los valores calculados y los experimentales sugieren aplicar un mejor método de optimización para sistemas puros o por otro lado, promover un potencial de interacción intermolecular más sofisticado. Las estimaciones a condiciones cercanas al punto crítico están en buen acuerdo con los datos experimentales.
La simulació molecular presenta l'avantatge d'oferir un marc teòric important per a cercar propietats termodinàmiques i de transport de fluids amb aplicacions industrials. En aquest treball es va explotar aquesta avantatge per predir l'equilibri líquid vapor d'aigua, components aromàtics i les seves mescles, tant a condicions sub com supercrítiques. Es va realitzar una comparació de diferents potencials intermoleculars, coneguts mitjançant el càlcul de propietats termodinàmiques de sistemes purs, que ha servit de punt de sortida per portar a terme una optimització de paràmetres transferibles per a un potencial intermolecular de propietats termodinàmiques d'un model simple d'aigua. En aquest model, les contribucions electrostàtiques s'aproximen mitjançant interaccions de curt abast en lloc de les típiques forces de Coulomb de llarg abast. En general, s'ha trobat grans desviacions respecte a les dades experimentals, tal com un valor de temperatura crítica de 360K, valor 50% allunyat del valor experimental. Degut a que aquests resultats ens indiquen la importància d'incloure les forces de Coulomb en el model molecular emprat per reproduir correctament les propietats d'aigua, el treball d'investigació s'ha enfocat en l'optimització dels paràmetres dels potencials TIP4P i SPC/E. Els resultats obtinguts mostren que és possible trobar una millor aproximació al punt crític experimental a partir de l'optimització del model SPC/E. No obstant, el bon acord amb els experiments del model original a condicions ambientals es perden usant els paràmetres del model optimitzat. Per altre banda, l'estimació de propietats de compostos aromàtics esta d'acord amb les dades experimentals permetent la reproducció de la densitat de líquid saturat, pressió de saturació i entalpia de vaporització per a compostos purs mitjançant el potencial AUA-Aromátics proposat. Finalment, en el cas de mescles s'ha aplicat el conjunt de paràmetres obtinguts per aromàtics. Les propietats termodinàmiques de la mescla binària aromàtic-aromàtic i aromàtic-aigua són analitzades en un ample rang de temperatures i pressions. Les desviacions trobades entre els valors calculats i els experimentals suggereixen aplicar un millor mètode d'optimització per a sistemes purs o, per altre banda, promoure un potencial d'interacció intermolecular més sofisticat. Les estimacions en condicions properes al punt crític tenen un bon acord amb les dades experimentals.
Molecular simulation presents the advantage of providing a unified theoretical framework to model fluid properties for industrial applications. In this work we exploit this advantage to predict thermodynamic properties of pure water and aromatics and their mixtures at sub- and supercritical conditions. A comprehensive comparison of different intermolecular potentials has been carried out in order to analyze model predictions for pure component properties. In addition, an optimization of transferable parameters has been performed for an intermolecular potential for aromatics and water. In the case of water, an analysis and evaluation of the thermodynamic properties of a simple model has been performed. In this model, the electrostatic contributions are approximated by short-range interactions instead of the typical long-range Coulombic forces. On the whole, we found huge deviations with experimental data, such as a critical temperature value of 360K, 50% far away from the experimental value. Since, these calculations indicate the importance of including the electrostatic contribution in order to correctly model water, we also focus on reproducing critical properties from an optimization of the well known TIP4P and SPC/E water model parameters. Results obtained show that a better approximation to the critical point prediction is possible from the optimization of the SPC/E parameters, however, the good agreement with experiments for the original model at room conditions vanishes using the optimized parameters. On the other hand, thermodynamic property estimations of aromatic molecules are in good agreement with experimental data and we are able to reproduce saturation liquid densities, saturation pressures, vaporization enthalpies and liquid structure for pure compounds. Finally, in the case of mixtures, we applied the optimized set of parameters obtained for aromatics. The thermodynamic properties of binary aromatic-aromatic and aromatic water mixtures are analyzed over a wide range of temperatures and pressures. Deviations between the predicted and experimental values are found at low temperatures and high densities suggesting that a better optimization process needs to be performed for the pure systems or a more sophisticated intermolecular interaction potential is needed. Nevertheless, the estimations close to critical conditions are in good agreement with experimental data.
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Books on the topic "Gibbs potential"

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Harrison, Jack Edward. Regional structure, the Atlantic Richfield-Marathon Oil No. 1 Gibbs borehole, and hydrocarbon resource potential west of the Rocky Mountain trench in northwestern Montana. [Reston, Va.?]: Dept. of the Interior, U.S. Geological Survey, 1985.

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Sherwood, Dennis, and Paul Dalby. Free energy. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0013.

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A critical chapter, explaining how the principles of thermodynamics can be applied to real systems. The central concept is the Gibbs free energy, which is explored in depth, with many examples. Specific topics addressed are: Spontaneous changes in closed systems. Definitions and mathematical properties of Gibbs free energy and Helmholtz free energy. Enthalpy- and entropy-driven reactions. Maximum available work. Coupled reactions, and how to make non-spontaneous changes happen, with examples such as tidying a room, life, and global warming. Standard Gibbs free energies. Mixtures, partial molar quantities and the chemical potential.
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Horing, Norman J. Morgenstern. Quantum Mechanical Ensemble Averages and Statistical Thermodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0006.

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Chapter 6 introduces quantum-mechanical ensemble theory by proving the asymptotic equivalence of the quantum-mechanical, microcanonical ensemble average with the quantum grand canonical ensemble average for many-particle systems, based on the method of Darwin and Fowler. The procedures involved identify the grand partition function, entropy and other statistical thermodynamic variables, including the grand potential, Helmholtz free energy, thermodynamic potential, Gibbs free energy, Enthalpy and their relations in accordance with the fundamental laws of thermodynamics. Accompanying saddle-point integrations define temperature (inverse thermal energy) and chemical potential (Fermi energy). The concomitant emergence of quantum statistical mechanics and Bose–Einstein and Fermi–Dirac distribution functions are discussed in detail (including Bose condensation). The magnetic moment is derived from the Helmholtz free energy and is expressed in terms of a one-particle retarded Green’s function with an imaginary time argument related to inverse thermal energy. This is employed in a discussion of diamagnetism and the de Haas-van Alphen effect.
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Rau, Jochen. Constructing the State. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0003.

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The limited data available about a macroscopic system may come in various forms: sharp constraints, expectation values, or control parameters. While these data impose constraints on the state, they do not specify it uniquely; a further principle—the maximum entropy principle—must be invoked to construct it. This chapter discusses basic notions of information theory and why entropy may be regarded as a measure of ignorance. It shows how the state—called a Gibbs state—is constructed using the maximum entropy principle, and elucidates its generic properties, which are conveniently summarized in a thermodynamic square. The chapter further discusses the second law and how it is linked to the reproducibility of macroscopic processes. It introduces the concepts of equilibrium and temperature, as well as pressure and chemical potential. Finally, this chapter considers statistical fluctuations of the energy and of other observables in case these are given as expectation values.
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Sherwood, Dennis, and Paul Dalby. Phase equilibria. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0015.

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This chapter extends the discussion of gas phase equilibria to phase equilibria. The central concept is the vapour pressure, and the key proof is that the criterion for phase equilibrium is the equality of the molar Gibbs free energies, or chemical potentials, of each phase. This then leads to the Clapeyron and Clausius-Clapeyron equations. A notable feature of this chapter is the discussion of non-ideal gases, answering the question “Given that, by definition, an ideal gas can never liquefy, what is it about a real gas that enables the gas to change phase into a liquid?”. A unique feature of this discussion is the rigorous analysis of the Gibbs free energy of a van der Waals gas under compression, and the proof of the ‘Maxwell construction’.
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Book chapters on the topic "Gibbs potential"

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Burgot, Jean-Louis. "Chemical Potential or Partial Molal Gibbs Energy." In The Notion of Activity in Chemistry, 35–42. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46401-5_5.

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Sieders, Arthur. "A Note on Potential Estimation for the Stationary Gibbs Model on the Lattice Zd." In Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, 293–300. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-010-9913-4_37.

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Sperelakis, Nicholas. "Gibbs-Donnan Potentials." In Developments in Cardiovascular Medicine, 278–85. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2590-5_11.

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Broise-Alamichel, Anne, Jouni Parkkonen, and Frédéric Paulin. "Potentials, Critical Exponents,and Gibbs Cocycles." In Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees, 49–82. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18315-8_3.

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Behrends, Ehrhard. "Potentials, Gibbs fields, and the Ising Model." In Introduction to Markov Chains, 195–208. Wiesbaden: Vieweg+Teubner Verlag, 2000. http://dx.doi.org/10.1007/978-3-322-90157-6_20.

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D’Angelo, Nicoletta, Mauro Ferrante, Antonino Abbruzzo, and Giada Adelfio. "Determinants of spatial intensity of stop locations on cruise passengers tracking data." In Proceedings e report, 159–64. Florence: Firenze University Press, 2021. http://dx.doi.org/10.36253/978-88-5518-304-8.31.

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This paper aims at analyzing the spatial intensity in the distribution of stop locations of cruise passengers during their visit at the destination through a stochastic point process modelling approach on a linear network. Data collected through the integration of GPS tracking technology and questionnaire-based survey on cruise passengers visiting the city of Palermo are used, to identify the main determinants which characterize their stop locations pattern. The spatial intensity of stop locations is estimated through a Gibbs point process model, taking into account for both individual-related variables, contextual-level information, and for spatial interaction among stop points. The Berman-Turner device for maximum pseudolikelihood is considered, by using a quadrature scheme generated on the network. The approach used allows taking into account the linear network determined by the street configuration of the destination under analysis. The results show an influence of both socio-demographic and trip-related characteristics on the stop location patterns, as well as the relevance of distance from the main attractions, and potential interactions among cruise passengers in stop configuration. The proposed approach represents both improvements from the methodological perspective, related to the modelling of spatial point process on a linear network, and from the applied perspective, given that better knowledge of the determinants of spatial intensity of visitors’ stop locations in urban contexts may orient destination management policy.
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Gimel'farb, Georgy. "Learning parameters of Gibbs random fields using unconditional and conditional MLE of potentials." In Advances in Pattern Recognition, 981–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0033328.

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Tahir-Kheli, Raza. "Energy and Entropy Extrema; Legendre Transformations; Thermodynamic Potentials; Clausius–Clapeyron Equation; Gibbs Phase Rule." In General and Statistical Thermodynamics, 373–407. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21481-3_10.

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Bichara, Christophe, and Gerhard Inden. "A Combined Monte Carlo and Cluster Variation Approach for Calculating Gibbs Energies and Chemical Potentials." In NATO ASI Series, 541–44. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2476-2_34.

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"Gibbs Free Energy and Chemical Potential." In Physicochemical and Environmental Plant Physiology, 545–53. Elsevier, 2005. http://dx.doi.org/10.1016/b978-012520026-4/50015-9.

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Conference papers on the topic "Gibbs potential"

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Capitelli, M., and D. Giordano. "Demythicizing the Gibbs potential for the determination of chemical equilibrium conditions." In 35th AIAA Thermophysics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-2753.

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Srinivasa, Arun R., P. Gosh, Srinivasan M. Sivakumar, Vidyashankar Buravalla, and Arun R. Srinivasa. "A Simple, Gibbs Potential Based Multinetwork Model for Shape Memory Polymers." In SMART DEVICES: MODELING OF MATERIAL SYSTEMS: An International Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2971995.

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Yoon, Dalsung, and Supathorn Phongikaroon. "Evaluation of Thermodynamic Properties of Cerium in Liquid Cadmium Cathode Within LiCl-KCl Salt System." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60725.

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Thermodynamic properties of Ce-Cd intermetallic compound were investigated in LiCl-KCl-CeCl3-CdCl2 molten salt system at various temperatures. Six Ce-Cd intermetallic compounds, CeCd, CeCd2, CeCd3, Ce13Cd58, CeCd6, and CeCd11 could be observed via cyclic voltammetry (CV) and the relative Gibbs free energies for the intermetallic formations were estimated by the analysis of the anodic peaks in the CV experiments. Furthermore, an open circuit chronopotentiometry which is known as a suitable method for measuring thermodynamic values of intermetallic compounds were performed. The linear trends of the relative Gibbs free energies were found by using potential difference from CV and CP methods. It can be noted that CV method can be easy and fast tool to estimate relative Gibbs energy for intermetallic compounds of Cd-Ms (metals). For the determination of standard Gibbs free energy, enthalpy, and entropy for the intermetallic formation, CP results were used. The linear trend of the Gibbs energy were obtained against temperature changing from 698 K to 823 K. From the linear relationship, the enthalpy and entropy of the formation were calculated.
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Mohankumar, K. V., and K. Kannan. "A New Approach in Kinetic Modeling Using Thermodynamic Framework for Chemically Reacting Systems and Oxidative Ageing in Polymer Composites." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-64436.

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A thermodynamic framework for chemically reacting systems is put to use in kinetic modeling of any chemical system with N species undergoing M reactions. A new approach of deriving kinetic models from a Gibbs potential, of multivariate polynomial function, is demonstrated with an example of single reaction system involving three species. Also, the usual first order kinetics is deduced as a special case in the example. The distinct advantages of the new approach lies in obtaining the evolution of concentrations of species, their individual chemical potentials and the specific Gibbs potential and is demonstrated for a single reaction system as an example. Oxidation in polymer composites is studied with a coupled reaction-diffusion model obtained using first order kinetics and is solved for a boundary value problem that predicts the concentration of species over space and time. Concentration of oxidized products is correlated with modulus of aged sample and degradation effects is calculated in case of simple torsion.
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D'Angelo, Angela, Mirco Pacitto, and Mauro Barni. "A psychovisual experiment on the use of Gibbs potential for the quality assessment of geometrically distorted images." In Electronic Imaging 2008, edited by Bernice E. Rogowitz and Thrasyvoulos N. Pappas. SPIE, 2008. http://dx.doi.org/10.1117/12.765879.

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Evard, Margarita E., Aleksandr E. Volkov, Fedor S. Belyaev, and Anna D. Ignatova. "About the choice of Gibbs’ potential for modelling of FCC ↔ HCP transformation in FeMnSi-based shape memory alloys." In THE EIGHTH POLYAKHOV’S READING: Proceedings of the International Scientific Conference on Mechanics. Author(s), 2018. http://dx.doi.org/10.1063/1.5034685.

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Emdadi, Arash, Simin Emdadi, Mansour Zenouzi, and Gregory Kowalski. "Activity Coefficient of Different Salt Solutions for Reverse Electrodialysis Application." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10739.

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Abstract Renewable energy sources and related conversion technologies are considered as the main solution for resolving the current issues related to global warming and environmental protection. Salinity gradient energy (SGE) is a source of renewable energy which can be defined as the Gibbs Energy of mixing when two solutions with different salinities mix together. The difference in the salinity of salt solutions is the main driving force of energy production by the SGE conversion technologies. One of the main conversion technologies of SGE is reverse electrodialysis (RED). In this technology the gradient between the concentrated and diluted salt solutions, the ions with a negative charge (anion) and positive charge (cation) pass through selective ion exchange membranes known as anion exchange membrane and cation exchange membrane. The driving force for diffusion of the ions is a function of the concentration gradient. The chemical potential of the salt solution is a function of the concentration of the salt solution and plays an important role in the Gibbs energy of mixing. The chemical potential of the salt solution is a thermodynamic property which is a function of the concentration and activity coefficient of the salt solution. The activity coefficient of the salt solution is a unique parameter which depends on the ionic strength of the solution and the type of ions in the salt solution. The salts with higher activity coefficient have a higher potential to be used in the SGE conversion process due to higher released Gibbs Energy during the mixing process. In this paper the thermodynamic model presented by Bromley [1], is used to calculate activity coefficient of 20 salts at different concentrations (0.01–6 molal). Two dimensionless parameters, Φ and Ψ, are defined as the ratio of activity coefficient and concentration between the concentrated and diluted solutions in 6 and 0.5 molal respectively. Using the dimensionless parameters, the theoretical open circuit voltage (OCV) of salt solutions in a RED cell is calculated. The salts are screened and ranked based on the activity coefficients and the theoretical open circuit voltage (OCV). The best salts are selected for use in a RED cell based on the activity coefficients and theoretical OCV. These alts could have potential for developing SGE storage systems in combination with renewable energy devices.
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Arango Meneses, Juan Fernando, Mario Andrés Palacio Vega, Jorge Mario Mendoza Fandiño, Rafael David Gómez Vásquez, and Álvaro Ángel Arrieta Almario. "A Method to Determinate the Energy Potential Generation From Biomass Gasification." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51633.

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This paper is about the development of a computational method to determinate the energy generation potential from residual biomass gasification, in function of the variables and working conditions as the equivalence ratio (ER), and the elemental composition of the biomass, using air as gasifying agent; and by this way promote the generation of low cost energy, whether it be electrical or mechanical energy in order to take advantage of products which normally have no value added. This method was developed using the simulation software of chemical and thermodynamic processes Aspen HYSYS®, this software has a large number of components and the possibility of evaluating their physicochemical properties, along with the equations of state of Peng-Robinson which allow you to define the properties of different fluids with a low error range. The energy generation potential was evaluated with 5 different biomasses commonly generated by agroindustry in Córdoba-Colombia (Rice husk, sesame stalks, cotton waste, corncobs and coconut fiber) by a modeling of the kinetics of the reactions, where a combination between the reaction mechanisms in function of the Gibbs free energy and reactors, whose yields have been programmed from statistical regressions obtained from other reference, was carried out, and thus simulate the gasification process at 1000 ° C and an ER between 0.21–0.3, getting in this way a synthesis gas with heating values of around 6 (MJ /Nm3) and efficiencies of around 60%.
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Niaki, Farbod Akhavan, Durul Ulutan, and Laine Mears. "Parameter Estimation Using Markov Chain Monte Carlo Method in Mechanistic Modeling of Tool Wear During Milling." In ASME 2015 International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/msec2015-9357.

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Several models have been proposed to describe the relationship between cutting parameters and machining outputs such as cutting forces and tool wear. However, these models usually cannot be generalized, due to the inherent uncertainties that exist in the process. These uncertainties may originate from machining, workpiece material composition, and measurements. A stochastic approach can be utilized to compensate for the lack of certainty in machining, particularly for tool wear evolution. The Markov Chain Monte Carlo (MCMC) method is a powerful tool for addressing uncertainties in machining parameter estimation. The Hybrid Metropolis-Gibbs algorithm has been chosen in this work to estimate the unknown parameters in a mechanistic tool wear model for end milling of difficult-to-machine alloys. The results show a good potential of the Markov Chain Monte Carlo modeling in prediction of parameters in the presence of uncertainties.
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Chatzigeorgiou, George, Yves Chemisky, and Dimitris C. Lagoudas. "Modeling of Cyclic Response of High Temperature Shape Memory Alloys Undergoing Viscoplastic Mechanisms." In ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2010. http://dx.doi.org/10.1115/smasis2010-3730.

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In this work we present a constitutive model for High Temperature Shape Memory Alloys (HTSMAs), where the appearence of viscoplastic mechanisms during transformation influences the cyclic response of the actuator performance. Based on previous models developed for conventional SMAs, a Gibbs free energy potential is defined and the evolution equations for forward, reverse transformation, plasticity occuring during transformation, retained martensite and viscoplasticity are properly chosen. The calibration of the model is achieved with the help of experimental tests performed on TiPdNi alloy. The transformation behavior of the material is calibrated using fast load biased thermal cycling tests at selected stress levels with fast cooling/heating rate. The viscoplastic behavior of the HTSMA is captured with creep and uniaxial tests at appropriate temperature levels. Predictions of the model are compared with load biased thermal cycling tests at slow cooling/heating rate, where viscoplastic strains are significant.
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Reports on the topic "Gibbs potential"

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Eremin, O. V., G. A. Yurgenson, M. A. Solodukhina, and E. S. Epova. Hypergenic antimony minerals and bismuth: evaluation method their standard Gibbs potentials. ИМин УрО РАН, 2018. http://dx.doi.org/10.18411/978-5-7691-2501-0-2018-19-103-131.

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