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Dissertations / Theses on the topic 'Boltzmann statistics'

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1

Fredriksson, Gustav, and Anton Hellström. "Restricted Boltzmann Machine as Recommendation Model for Venture Capital." Thesis, KTH, Matematisk statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-252703.

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Denna studie introducerar restricted Boltzmann machines (RBMs) som rekommendationsmodell i kontexten av riskkapital. Ett nätverk av relationer används som proxy för att modellera investerares bolagspreferenser. Studiens huvudfokus är att undersöka hur RBMs kan implementeras för ett dataset bestående av relationer mellan personer och bolag, samt att undersöka om modellen går att förbättra genom att tillföra av ytterligare information. Nätverket skapas från styrelsesammansättningar för svenska bolag. För nätverket implementeras RBMs både med och utan den extra informationen om bolagens ursprungs
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Berg, Markus. "Modeling the Term Structure of Interest Rates with Restricted Boltzmann Machines." Thesis, KTH, Matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229486.

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This thesis investigates if Gaussian restricted Boltzmann machines can be used to model the Swedish term structure of interest rates. The models are evaluated based on the ability to make one-day-ahead forecasts and the ability to generate long term scenarios. The results are compared to simple benchmark models, such as assuming a random walk. The effects of preprocessing the input data with principal component analysis are also investigated. The results show that the ability to make one-day-ahead forecasts, measured as a mean squared error, is comparable to a random walk benchmark, both in-sa
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Petersson, Mikael. "Comparison of modes of convergence in a particle system related to the Boltzmann equation." Thesis, Linköpings universitet, Matematisk statistik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-61303.

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The distribution of particles in a rarefied gas in a vessel can be described by the Boltzmann equation. As an approximation of the solution to this equation, Caprino, Pulvirenti and Wagner [3] constructed a random N-particle system. In the equilibrium case, they prove in [3] that the L1-distance between the density function of k particles in the N-particle process and the k-fold product of the solution to the stationary Boltzmann equation is of order 1/N. They do this in order to show that the N-particle system converges to the system described by the stationary Boltzmann equation as the numbe
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4

Lapinski, Tomasz Michal. "Limit theorems leading to Bose-Einstein, Maxwell-Boltzmann statistics and Zipf-Mandelbrot law." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/62639/.

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In this thesis we develop the ideas introduced by V.P. Maslov in [9], [10] and [11], the new limit theorem which leads to Bose-Einstein, Maxwell-Boltzmann Statistics and Zipf-Mandelbrot Law. We independently constructed the proof for the theorem, based on Statistical Mechanics methodology, but with precise and rigorous estimates and rate of convergence. The proof involves approximation of the considered entropy, the partition function and specific Laplace type integral approximation which we had to develop specifically for this result. The proof also involved several minor estimates and approx
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5

Bagci, Gokhan B. "The Nonextensive Generalisation Of Boltzmann-gibbs Its Applications." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12605845/index.pdf.

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This thesis analyzes the nonextensive generalization of Boltzmann-Gibbs statistics and study its applications to some physical models such as isotropic rigid and non-rigid rotators. The thesis will also try to show what kind of internal energy constraint must be chosen for entropy optimization in a mathematically consistent manner.
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6

Wang, Nan [Verfasser], Laurenz [Akademischer Betreuer] Wiskott, and Sen [Akademischer Betreuer] Cheng. "Learning natural image statistics with variants of restricted Boltzmann machines / Nan Wang. Gutachter: Laurenz Wiskott ; Sen Cheng." Bochum : Ruhr-Universität Bochum, 2016. http://d-nb.info/1089006179/34.

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7

Nair, Binu Muraleedharan. "Learning Latent Temporal Manifolds for Recognition and Prediction of Multiple Actions in Streaming Videos using Deep Networks." University of Dayton / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1429532297.

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8

Camilli, Francesco. "Statistical mechanics perspectives on Boltzmann machines." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19302/.

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La tesi contiene un approccio rigoroso alla meccanica statistica dei sistemi disordinati con particolare attenzione a modelli di campo medio. Il punto di partenza è un’introduzione al modello Curie-Weiss in cui si presentano sia risultati classici sia una nuova proprietà di stabilità per cambio di normalizzazione. Il modello è stato risolto per interazioni ferromagnetiche ed antiferromagnetiche. Una volta introdotti gli strumenti fondamentali, si passa al modello di Sherringtone Kirkpatrick, in cui le interazioni sono estratte da una gaussiana standard ed indipendenti. Si provano l’esis
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9

Sessak, Vitor. "Problèmes inverses dans les modèles de spin." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2010. http://tel.archives-ouvertes.fr/tel-00525040.

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Un bon nombre d'expériences récentes en biologie mesurent des systèmes composés de plusieurs composants en interactions, comme par exemple les réseaux de neurones. Normalement, on a expérimentalement accès qu'au comportement collectif du système, même si on s'intéresse souvent à la caractérisation des interactions entre ses différentes composants. Cette thèse a pour but d'extraire des informations sur les interactions microscopiques du système à partir de son comportement collectif dans deux cas distincts. Premièrement, on étudie un système décrit par un modèle d'Ising plus général. On trouve
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10

Martinez, Alexandre Souto. "Statistique de polarisation et effet Faraday en diffusion multiple de la lumière." Grenoble 1, 1993. http://www.theses.fr/1993GRE10082.

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Statistique de polarisation et effet faraday en diffusion multiple de la lumiere. L'analyse traditionnelle de la propagation de la lumiere en milieu aleatoire suppose que les ondes sont des champs scalaires et que les diffuseurs sont ponctuels. Nous avons voulu etudier des situations plus realistes. La nature vectorielle du champ electromagnetique et l'anisotropie de diffusion sont explicitement prises en compte par la theorie de mie. Pour realiser cet objectif, nous avons ecrit et mis au point un code de simulation numerique utilisant l'algorithme de monte carlo. Nous nous sommes interesses t
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11

Kivinen, Jyri Juhani. "Statistical models for natural scene data." Thesis, University of Edinburgh, 2014. http://hdl.handle.net/1842/8879.

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This thesis considers statistical modelling of natural image data. Obtaining advances in this field can have significant impact for both engineering applications, and for the understanding of the human visual system. Several recent advances in natural image modelling have been obtained with the use of unsupervised feature learning. We consider a class of such models, restricted Boltzmann machines (RBMs), used in many recent state-of-the-art image models. We develop extensions of these stochastic artificial neural networks, and use them as a basis for building more effective image models, and t
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12

Grigo, Alexander. "Billiards and statistical mechanics." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29610.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Bunimovich, Leonid; Committee Member: Bonetto, Federico; Committee Member: Chow, Shui-Nee; Committee Member: Cvitanovic, Predrag; Committee Member: Weiss, Howard. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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13

Costa, Riccardo. "Sistemi a temperatura assoluta negativa." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7701/.

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Studio dei sistemi termodinamici che possono accedere a stati di inversione di popolazione. Confronto dei risultati ottenuti studiando questi sistemi sia con l'approccio di Boltzmann che con quello di Gibbs alla meccanica statistica.
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14

Gliesche, Aric. "Evolution of open many-electron systems from a quantum statistical description towards the semi-classical Boltzmann equation." Göttingen Cuvillier, 2007.

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15

Tubiana, Jérôme. "Restricted Boltzmann machines : from compositional representations to protein sequence analysis." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEE039/document.

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Les Machines de Boltzmann restreintes (RBM) sont des modèles graphiques capables d’apprendre simultanément une distribution de probabilité et une représentation des données. Malgré leur architecture relativement simple, les RBM peuvent reproduire très fidèlement des données complexes telles que la base de données de chiffres écrits à la main MNIST. Il a par ailleurs été montré empiriquement qu’elles peuvent produire des représentations compositionnelles des données, i.e. qui décomposent les configurations en leurs différentes parties constitutives. Cependant, toutes les variantes de ce modèle
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Fissore, Giancarlo. "Generative modeling : statistical physics of Restricted Boltzmann Machines, learning with missing information and scalable training of Linear Flows." Electronic Thesis or Diss., université Paris-Saclay, 2022. http://www.theses.fr/2022UPASG028.

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Les modèles de réseaux neuronaux capables d'approximer et d'échantillonner des distributions de probabilité à haute dimension sont connus sous le nom de modèles génératifs. Ces dernières années, cette classe de modèles a fait l'objet d'une attention particulière en raison de son potentiel à apprendre automatiquement des représentations significatives de la grande quantité de données que nous produisons et consommons quotidiennement. Cette thèse présente des résultats théoriques et algorithmiques relatifs aux modèles génératifs et elle est divisée en deux parties. Dans la première partie, nous
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17

Bagci, Gokhan Baris Kobe Donald Holm. "The nonadditive generalization of Klimontovich's S-theorem for open systems and Boltzmann's orthodes." [Denton, Tex.] : University of North Texas, 2008. http://digital.library.unt.edu/permalink/meta-dc-9124.

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18

Maroncelli, Andrea. "Il teorema del trasporto ed applicazioni." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12275/.

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Il tema centrale della tesi è il teorema del trasporto di Boltzmann, che descrive la dinamica di un gas non necessariamente in equilibrio. Attraverso questo si dimostra il teorema H, il quale fornisce una formulazione in termini microscopici dell'entropia; in seguito si deriva la distribuzione delle velocità di un gas all'equilibrio (distribuzione di Maxwell-Boltzmann) e si dimostra che un'arbitraria distribuzione delle velocità tende nel tempo a quella di Maxwell-Boltzmann, risultando quest'ultima quindi la distribuzione più probabile. Infine si ricavano le equazioni idrodinamiche (o di Navie
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19

Schelle, Alexej. "Environment-induced dynamics in a dilute Bose-Einstein condensate." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2009. http://tel.archives-ouvertes.fr/tel-00438496.

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We directly model the quantum many particle dynamics during the transition of a gas of N indistinguishable bosons into a Bose-Einstein condensate. To this end, we develop a quantitative quantum master equation theory, which takes into account two body interaction processes, and in particular describes the particle number fluctuations characteristic for the Bose-Einstein phase transition. Within the Markovian dynamics assumption, we analytically prove and numerically verify the Boltzmann ergodicity conjecture for a dilute, weakly interacting Bose-Einstein condensate. The new physical bottom lin
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Bagci, Gokhan Baris. "The Nonadditive Generalization of Klimontovich's S-Theorem for Open Systems and Boltzmann's Orthodes." Thesis, University of North Texas, 2008. https://digital.library.unt.edu/ark:/67531/metadc9124/.

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We show that the nonadditive open systems can be studied in a consistent manner by using a generalized version of S-theorem. This new generalized S-theorem can further be considered as an indication of self-organization in nonadditive open systems as prescribed by Haken. The nonadditive S-theorem is then illustrated by using the modified Van der Pol oscillator. Finally, Tsallis entropy as an equilibrium entropy is studied by using Boltzmann's method of orthodes. This part of dissertation shows that Tsallis ensemble is on equal footing with the microcanonical, canonical and grand canonical ense
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21

Jones, Nicholaos John. "Ineliminable idealizations, phase transitions, and irreversibility." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1163026373.

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22

Vrábel, Jakub. "Popis Restricted Boltzmann machine metody ve vztahu se statistickou fyzikou a jeho následné využití ve zpracování spektroskopických dat." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-402522.

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Práca sa zaoberá spojeniami medzi štatistickou fyzikou a strojovým učením s dôrazom na základné princípy a ich dôsledky. Ďalej sa venuje obecným vlastnostiam spektroskopických dát a ich zohľadnení pri pokročilom spracovaní dát. Začiatok práce je venovaný odvodeniu partičnej sumy štatistického systému a štúdiu Isingovho modelu pomocou "mean field" prístupu. Následne, popri základnom úvode do strojového učenia, je ukázaná ekvivalencia medzi Isingovým modelom a Hopfieldovou sieťou - modelom strojového učenia. Na konci teoretickej časti je z Hopfieldovej siete odvodený model Restricted Boltzmann M
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23

De, Izarra Léonard. "Apport des méthodes cinétiques à la simulation d'écoulements dans les milieux poreux." Phd thesis, Université d'Orléans, 2012. http://tel.archives-ouvertes.fr/tel-00675306.

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Les méthodes de Boltzmann sur réseaux (LBM) ont été appliquées avec beaucoup de succès aux écoulements hydrodynamiques en milieux poreux. Cependant, la limitation de ces méthodes aux écoulements hydrodynamiques et isothermes, les rendent insuffisantes pour simuler des écoulements de gaz dans des milieux micro-poreux. Dans ce cas, il est en effet fréquent que le libre parcours moyen des molécules du gaz, soit du même ordre de grandeur que la taille des pores dans lesquels il s'écoule. De tels écoulements ne seront alors plus en régime hydrodynamique, mais dans des régimes qualifiés de glissemen
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Noel, Romain. "La méthode de Boltzmann sur réseau pour la simulation numérique des milieux continus en vue de diagnostiques à partir d’images." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSEM015.

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Pour déterminer l’évolution temporelle de corps existants, il est nécessaire de partird’une configuration donnée et d’effectuer des calculs prédictifs. Obtenir des informations del’intérieur de la matière sans la détruire, n’est pas une tâche facile. Lorsque la dégradationn’est pas possible, un moyen courant d’acquérir la configuration de départ est l’utilisationde systèmes d’imageries. Et en raison de la complexité du comportement de la matière, ilest également courant de recourir à des méthodes numériques pour simuler les processustemporels. Une méthode numérique relativement récente appelée
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Vilquin, Alexandre. "Structure des ondes de choc dans les gaz granulaires." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0349/document.

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Dans des milieux tels que les gaz, les plasmas et les milieux granulaires, un objet se déplaçant à des vitessessupersoniques, compresse et chauffe le fluide devant lui, formant ainsi une onde de choc. La zone hors-équilibreappelée front d’onde, où ont lieu de brusques variations de température, pression et densité, présente unestructure particulière, avec notamment des distributions des vitesses des particules fortement non-gaussienneset difficiles à visualiser. Dans une avancée importante en 1951, Mott-Smith décrit le front d’onde comme lasuperposition des deux états que sont le gaz supersoni
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Hubený, Marek. "Koncepty strojového učení pro kategorizaci objektů v obrazu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2017. http://www.nusl.cz/ntk/nusl-316388.

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This work is focused on objects and scenes recognition using machine learning and computer vision tools. Before the solution of this problem has been studied basic phases of the machine learning concept and statistical models with accent on their division into discriminative and generative method. Further, the Bag-of-words method and its modification have been investigated and described. In the practical part of this work, the implementation of the Bag-of-words method with the SVM classifier was created in the Matlab environment and the model was tested on various sets of publicly available im
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Vieira, Tiago de Medeiros. "Conceitos e t?cnicas da mec?nica estat?stica e termodin?mica aplicados ao estudo dos grafos aleat?rios." Universidade Federal do Rio Grande do Norte, 2012. http://repositorio.ufrn.br:8080/jspui/handle/123456789/16621.

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Made available in DSpace on 2014-12-17T15:14:59Z (GMT). No. of bitstreams: 1 TiagoMV_DISSERT.pdf: 2054032 bytes, checksum: 01cc6c903e54670f8c4b846fab645cd0 (MD5) Previous issue date: 2012-02-24<br>Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico<br>This dissertation briefly presents the random graphs and the main quantities calculated from them. At the same time, basic thermodynamics quantities such as energy and temperature are associated with some of their characteristics. Approaches commonly used in Statistical Mechanics are employed and rules that describe a time evolution
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Santos, Alyson Paulo. "Termoestat?stica qu?ntica: uma abordagem via estat?sticas n?o-gaussianas." Universidade Federal do Rio Grande do Norte, 2012. http://repositorio.ufrn.br:8080/jspui/handle/123456789/18622.

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Made available in DSpace on 2015-03-03T15:16:25Z (GMT). No. of bitstreams: 1 AlysonPS_TESE.pdf: 964551 bytes, checksum: c9d496a0da4f410a6e8efa100d961e64 (MD5) Previous issue date: 2012-03-16<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>Considering a quantum gas, the foundations of standard thermostatistics are investigated in the context of non-Gaussian statistical mechanics introduced by Tsallis and Kaniadakis. The new formalism is based on the following generalizations: i) Maxwell- Boltzmann-Gibbs entropy and ii) deduction of H-theorem. Based on this investigatio
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Bento, Eli?ngela Paulino. "Fundamenta??o cin?tica da estat?stica n?o gaussiana : efeitos em politr?picas." Universidade Federal do Rio Grande do Norte, 2011. http://repositorio.ufrn.br:8080/jspui/handle/123456789/18595.

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Made available in DSpace on 2015-03-03T15:15:26Z (GMT). No. of bitstreams: 1 EliangelaPB_DISSERT.pdf: 614353 bytes, checksum: 050737d0ef158e6082d81254619adac0 (MD5) Previous issue date: 2011-09-19<br>Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico<br>Considering a non-relativistic ideal gas, the standard foundations of kinetic theory are investigated in the context of non-gaussian statistical mechanics introduced by Kaniadakis. The new formalism is based on the generalization of the Boltzmann H-theorem and the deduction of Maxwells statistical distribution. The calculated
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Dellacherie, Stéphane. "Contribution à l'analyse et à la simulation numériques des équations cinétiques décrivant un plasma chaud." Phd thesis, Université Paris-Diderot - Paris VII, 1998. http://tel.archives-ouvertes.fr/tel-00479816.

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Lors de la formation du point chaud dans une expérience de Fusion par Confinement Inertiel, le plasma au centre de la sphère de deutérium-tritium peut être loin de l'équilibre thermodynamique local. Dans la première partie, on décrit donc un modèle cinétique ionique de type Vlasov-Fokker-Planck susceptible de prendre en compte ces déséquilibres. Après avoir rappelé les grandes étapes pour résoudre numériquement le système obtenu, on introduit la notion de moyenne entropique pour définir un nouveau schéma numérique traitant les collisions ion-électron homogènes en espace. Ce schéma est conserva
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31

Verduci, Domenica. "Equazioni di stato della materia in astrofisica." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21200/.

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L'obiettivo del presente elaborato è quello di illustrare le equazioni di stato della materia, in particolare inserendole in un contesto astrofisico. Dopo una breve introduzione di carattere storico-scientifico, si procede con la presentazione delle principali funzioni ed equazioni di stato della meccanica statistica. In seguito, si enunciano le maggiori differenze fra sistemi degeneri e non degeneri e le rispettive statistiche da cui sono governati. Nella successiva sezione, si prosegue addentrandosi nell'ambito più specificatamente astrofisico in cui la trattazione si inserisce, con preciso
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Berthias, Francis. "Thermalisation dans une nanogoutte d’eau." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSE1164/document.

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L'évaporation d'une molécule d'eau se traduit par la rupture d'une ou plusieurs liaisons hydrogène. Ces liaisons hydrogène sont à l'origine de nombreuses propriétés remarquables de l'eau. A l'échelle macroscopique, l'eau est connue pour son efficacité à thermaliser un système, tandis qu'au niveau microscopique, un transfert ultrarapide d'énergie vibrationnelle par l'intermédiaire des liaisons hydrogène a été observé. Qu'en est-il à l'échelle d'une nanogoutte lorsque qu'un nombre limité de molécules entre en jeu? Dans l'expérience réalisée auprès du dispositif DIAM de l'IPN Lyon, la relaxation
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"THE NONEXTENSIVE GENERALIZATION OF BOLTZMANN-GIBBS STATISTICS AND ITS APPLICATIONS." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605887/index.pdf.

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Wasson, Todd Steven. "Modeling Multi-factor Binding of the Genome." Diss., 2010. http://hdl.handle.net/10161/3139.

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<p>Hundreds of different factors adorn the eukaryotic genome, binding to it in large number. These DNA binding factors (DBFs) include nucleosomes, transcription factors (TFs), and other proteins and protein complexes, such as the origin recognition complex (ORC). DBFs compete with one another for binding along the genome, yet many current models of genome binding do not consider different types of DBFs together simultaneously. Additionally, binding is a stochastic process that results in a continuum of binding probabilities at any position along the genome, but many current models tend to c
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Kassier, Gunter Horst. "The characterization of bulk as-grown and annealed ZnO by the Hall effect." Diss., 2007. http://hdl.handle.net/2263/26646.

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A fully automated Temperature Dependent Hall (TDH) measurement setup has been assembled for the purposes of this study. This TDH setup is capable of measuring samples in the 20 K to 370 K temperature range. Sample sizes of up to 20 mm × 20 mm can be accommodated by the custom designed and manufactured sample holder. Samples with a resistance in the 1Ω to 250 MΩ range can be measured with this setup provided that the mobility of the sample is greater than 1 cm²/Vs. The computer program controlling the automated measurement processwas written in LabView™ version 6.1. Single crystal Zinc Oxide (
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Yan, Chih-Yuan, and 顏致遠. "A Direct Solver for Semiclassical Ellipsoidal Statistical Model Boltzmann Equation." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/77495112097719508792.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>101<br>Gas flow problems which include particle statistics namely, Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein are simulated by using direct solver for solving Ellipsoidal Statistical-BGK equation. The computational experiments include one -dimensional shock tube problem and two-dimensional Riemann gas flow problems. We can control the value of Prandtl number by adjusting parameter b and it relaxes the fixed Prandtl number assumption in BGK classical model. By observing the results, some obvious difference arises when comparing their pressure tensor distribution
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Chang, Li-Jen, and 張力仁. "Semiclassical Multiple Relaxation Time Lattice Boltzmann-Ellipsoidal Statistical Method for Flow Simulation." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/64256266209196284800.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>102<br>A Semiclassical Multiple Relaxation Time Lattice Boltzmann Ellipsoidal Statistical Method based on the Uehling-Uhlenbeck Boltzmann-BGK equation, Ellipsoidal Statistical BGK equation (ES-BGK) and Multiple Relaxation Time Lattice Boltzmann Method (MRT-LBM) is presented. The method is derived by expanding the Semiclassical equilibrium distribution function for Ellipsoidal Statistical method in term of Hermite polynomials, and the relationship between relaxation time and viscosity can be obtained by using Chapman-Enskog expansion. Simulations of the lid driven cav
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Tsai, Po-Chen, and 蔡博臣. "A Semiclassical Lattice Boltzmann–Ellipsoidal Statistical Method for Hydrodynamics of Quantum Gases." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/45698888748730622834.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>101<br>A semiclassical lattice Boltzmann–Ellipsoidal Statistical method based on the Uehling-Uhlenbeck Boltzmann-BGK equation and Ellipsoidal Statistical BGK equation is presented. According to gas kinetic theories, the kinetic governing equation for Ellipsoidal Statistical method is directly derived by the Hermite polynomials expansion and lattice velocity model. By using lattice Boltzmann method, this work successfully demonstrates the lid driven cavity flows and Couette flows with different collision operator, BGK and ES-BGK models. Simulations not only shows the
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39

Coppex, François. "Sur une classe de systèmes dissipatifs hors d'équilibre." Phd thesis, 2005. http://tel.archives-ouvertes.fr/tel-00008990.

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Nous considérons des systèmes dissipatifs, hors d'équilibre, de faible densité, et constitués d'un grand nombre de particules classiques en interaction. Dans une première partie, nous étudions l'annihilation balistique probabiliste, où les particules ont une trajectoire balistique sauf lorsqu'elles entrent en contact, s'annihilant alors avec probabilité p et subissant une collision élastique avec probabilité (1-p). Nous établissons pour ce système sans loi de conservation une description hydrodynamique résultant de la théorie cinétique. L'analyse de stabilité linéaire de l'état homogène montre
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Tsai, Cheng-Han, and 蔡承翰. "Hydrodynamic Flow Simulation Using Semiclassical Lattice Boltzmann-Elliposidal Statistical Method with Immersed Boundary Velocity Correction Method." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/41044575232612126101.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>102<br>Modeling gases in the continuum level is traditionally achieved with macroscopic level by using Euler or Navier-Stokes equations. However, as the degree of rarefaction of a gas increses, the governing equation becomes Boltzmann Equation. The Lattice Boltzmann method is derived by discretizing Boltzmann equation in physical and velocity space. In the study, the development of a semiclassical lattice Boltzmann–Ellipsoidal Statistical method is based on the Uehling-Uhlenbeck Boltzmann-BGK equation. According to the method, we can effectively link its dominant d
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Wei, Chia-Ju, and 韋嘉茹. "Application of Semiclassical Lattice Boltzmann-Ellipsoidal Statistical Method to Simulate Wake Patterns of Flow Past A Pair of Cylinders in Side-by-side Arrangements." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/92477901949254699936.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>103<br>The Navier-Stokes equation or Euler equation is traditionally used to solve solutions in the continuum regime of fluid dynamics. However, while the gas flow is rarefied, the government equation should become Boltzmann equation. The lattice Boltzmann method is derived by discretizing with Boltzmann equation in physical and velocity space for numerical simulation. Based on the Uehling-Uhlenbeck Boltzmann-BGK equation and Ellipsoidal Statistical BGK equation, a semiclassical lattice Boltzmann ellipsoidal statistical method is developed. The semiclassical equilibr
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Giovacchin, Juan Pablo. "Desarollo e implementación de métodos basados en el modelo de lattice Boltzmann para aplicaciones en mecánica de fluidos." Doctoral thesis, 2018. http://hdl.handle.net/11086/6142.

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Tesis (Doctor en Física)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2018.<br>En este trabajo se analiza e implementa un método de lattice Boltzmann (LBM) consistente a bajos números de Mach con las ecuaciones compresibles e isotérmicas de Navier-Stokes. Desarrollamos e implementamos un algoritmo basado en LBM para analizar problemas de mecánica de fluidos. Utilizamos una variedad de métodos para imponer condiciones de borde en fronteras de geometría regular y arbitraria. Resolvemos problemas típicos de verificación con movimiento de fronteras, r
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