Relevant bibliographies by topics / Fluctuation-dissipation theorem

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  2. Dissertations / Theses
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Academic literature on the topic 'Fluctuation-dissipation theorem'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Fluctuation-dissipation theorem"

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Ford, G. W. "The fluctuation–dissipation theorem." Contemporary Physics 58, no. 3 (2017): 244–52. http://dx.doi.org/10.1080/00107514.2017.1298289.

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Fujikawa, Kazuo. "Fluctuation-dissipation theorem and quantum tunneling with dissipation." Physical Review E 57, no. 5 (1998): 5023–29. http://dx.doi.org/10.1103/physreve.57.5023.

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Shimizu, Akira, and Kyota Fujikura. "Quantum violation of fluctuation-dissipation theorem." Journal of Statistical Mechanics: Theory and Experiment 2017, no. 2 (2017): 024004. http://dx.doi.org/10.1088/1742-5468/aa5a67.

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Chakrabarti, J. "Fluctuation–dissipation theorem for QCD plasma." Journal of Mathematical Physics 26, no. 12 (1985): 3190–92. http://dx.doi.org/10.1063/1.526647.

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Furche, Filipp, and Troy Van Voorhis. "Fluctuation-dissipation theorem density-functional theory." Journal of Chemical Physics 122, no. 16 (2005): 164106. http://dx.doi.org/10.1063/1.1884112.

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Brookes, Sarah J., James C. Reid, Denis J. Evans, and Debra J. Searles. "The Fluctuation Theorem and Dissipation Theorem for Poiseuille Flow." Journal of Physics: Conference Series 297 (May 1, 2011): 012017. http://dx.doi.org/10.1088/1742-6596/297/1/012017.

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Izmailov, A. F., and A. S. Myerson. "Fluctuation–dissipation theorem for supersaturated electrolyte solutions." Physica A: Statistical Mechanics and its Applications 267, no. 1-2 (1999): 34–57. http://dx.doi.org/10.1016/s0378-4371(98)00667-0.

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Zimdahl, W. "Fluctuation-dissipation theorem in the early universe." Physics Letters A 142, no. 4-5 (1989): 229–32. http://dx.doi.org/10.1016/0375-9601(89)90320-4.

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Nemenman, Ilya. "Fluctuation-Dissipation Theorem and Models of Learning." Neural Computation 17, no. 9 (2005): 2006–33. http://dx.doi.org/10.1162/0899766054322982.

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Advances in statistical learning theory have resulted in a multitude of different designs of learning machines. But which ones are implemented by brains and other biological information processors? We analyze how various abstract Bayesian learners perform on different data and argue that it is difficult to determine which learning—theoretic computation is performed by a particular organism using just its performance in learning a stationary target (learning curve). Based on the fluctuation—dissipation relation in statistical physics, we then discuss a different experimental setup that might be able to solve the problem.
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Levin, Yuri. "Fluctuation–dissipation theorem for thermo-refractive noise." Physics Letters A 372, no. 12 (2008): 1941–44. http://dx.doi.org/10.1016/j.physleta.2007.11.007.

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Dissertations / Theses on the topic "Fluctuation-dissipation theorem"

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Siemer, Bernd, Viktor Holubec, Petr Chvosta, and Philipp Maass. "Fluctuation dissipation theorem and Onsager coefficients in driven diffusion systems." Diffusion fundamentals 24 (2015) 47, S. 1, 2015. https://ul.qucosa.de/id/qucosa%3A14567.

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Siemer, Bernd, Viktor Holubec, Petr Chvosta, and Philipp Maass. "Fluctuation dissipation theorem and Onsager coefficients in driven diffusion systems." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-198659.

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Brossault, Marc-Antoine. "Suivi temporel de la dynamique des structures : apports du théorème fluctuation-dissipation et de la dynamique lente pour l'évaluation de l'intégrité des structures de génie civil." Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAU031/document.

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Soumise à une sollicitation sismique importante, une structure de génie civil peut être endommagée. Cela se traduit par l'apparition de fissures et donc une réduction de ses propriétés élastiques de la structure. Cependant, dans le cas d'un événement sismique d'amplitude inférieure, la variation observée est seulement transitoire. Elle consiste en une perturbation brutale de la fréquence et de l'amortissement suivie d'un recouvrement lent vers leurs valeurs initiales. Ce phénomène non linéaire de relaxation est appelé Dynamique Lente. Il s'explique par la fermeture progressive des fissures initialement présentes dans la structure et qui ont été ouvertes par la sollicitation. Nous avons observé en laboratoire que l'analyse de la Dynamique Lente dans une poutre avant et après son endommagement permet de détecter cette augmentation de la densité de fissures. La sensibilité différentielle des modes à une dégradation locale indique, de plus, une piste pour le développement d'une méthode de localisation de l'endommagement. L'étude de la Dynamique Lente que nous avons menée dans deux structures de génie civil a montré que nous pouvions également y détecter l'apparition de l'endommagement. Le suivi de l'amortissement de manière continue a mis en évidence une relation linéaire entre l'amortissement et l'intensité des vibrations ambiantes à la fois dans les poutres et les structures de génie civil. Nous expliquons celle-ci via l'application du théorème Fluctuation-Dissipation à ces systèmes. Les résultats en laboratoire et la proximité de l'expression de la relation avec les équations utilisées dans le cas de la Dynamique Lente suggère une dépendance de ce phénomène vis à vis de la densité des hétérogénéités dans le matériau composant la structure. De plus amples recherches sont cependant nécessaires afin d'expliquer complètement nos observations et ainsi pouvoir les utiliser dans le cadre de la surveillance des structures uniquement à partir de données de très faible amplitude<br>During strong seismic loadings, a structure may be damaged. This results in the appearing of cracks and then a reduction of the elastic properties of the structure. The degradation remains only transitory in the case of smaller seismic events. It consists in a sharp disruption of both the frequency and damping followed by their slow recovery to their initial values. This non linear phenomenon is called Slow Dynamics. It is explained by the gradual closing of the cracks which were initially present in the material and which were opened during the loading. We observed in the laboratory that the analysis of the Slow Dynamics in a beam before and after it is damaged allows to detect the increase of the crack density. The different sensitivties of the modes regarding a local damaging indicates a track to develop a method to locate the damages. The study of the Slow Dynamics in civil engineering structures demonstrated the possibility to detect the damaging also in this kind of system. The continuous monitoring of the damping highlighted a linear relationship between damping and the intensity of the ambiante vibration in the case of both the beams and real case structures. We explain this relation by applying the Fluctuation-Dissipation to these systems. Laboratory results and the proximity of the expression of the linear relationship wit hthe equations used in the theory of the Slow Dynamics suggest a dependency of this phenonmenon on the density of heterogeneities in the structure. Further research is however required in order to fully explain our observations and thus, to use them to monitor the state of health of structures
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Graf, Daniel [Verfasser], and Christian [Akademischer Betreuer] Ochsenfeld. "Development of efficient electronic-structure methods based on the adiabatic-connection fluctuation-dissipation theorem and Møller–Plesset perturbation theory / Daniel Graf ; Betreuer: Christian Ochsenfeld." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2021. http://d-nb.info/123217629X/34.

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Clark, Matthew Taylor. "The driven and stochastic dynamics of micro and nanoscale cantilevers in viscous fluid and near a solid boundary." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/29411.

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Micro and nanoscale systems are rapidly evolving to improve the resolution of experimental measurements. Experiments involving such small scale devices are difficult and expensive, and the available analytical theory to describe their dynamics is idealized. The dynamics of microscopic cantilevers in fluid are complicated and include significant contributions from many sources in an actual experiment. Some examples are: complex cantilever geometries, near-wall effects, thermal and external actuation techniques, and a variety of measurement techniques. Numerical simulations are a powerful approach to describe the dynamics of micro and nanoscale systems for the precise conditions of experiment. This thesis provides a numerical approach capable of addressing these inherent challenges and quantifies the dynamics of microscopic cantilevers in fluid for experimentally relevant conditions. A thermodynamic approach based upon the fluctuation-dissipation theorem allows for the calculation of stochastic dynamics from deterministic dynamics. Using numerical simulations, the thermal motion can be described for the precise conditions of experiment. It is found that the measured dynamics of cantilevers differs depending on the quantity being measured. In particular, the dynamics of displacement and angle of the cantilever tip distribute energy differently to the higher flexural modes. The externally driven dynamics of microscale cantilevers in fluid are also considered. The driven dynamics are calculated using numerical simulations of the cantilever response to a force impulse. It is found that the driven dynamics depend upon the type of actuation in addition to the quantity measured. A comparison of the driven dynamics to the corresponding stochastic dynamics yields insight into the nature of the Brownian force acting on the cantilever. Another experimentally relevant condition is the use of cantilevers with V-shaped planforms in fluid. The resulting flow field is three-dimensional and complex in contrast to what is found for a long and slender rectangular cantilever. Despite the flow complexity, the stochastic and driven dynamics of the fundamental mode can be predicted using a two-dimensional model with an appropriately chosen length scale. An experimentally motivated magnetomotive actuation technique is investigated. Results show that this approach generates power spectra nearly equivalent to the noise spectra. Furthermore, the case of a V-shaped cantilever in fluid and oscillating in proximity of a solid boundary is investigated. In the presence of a solid surface the fluid damping and added mass of fluid on the cantilever are larger than for a cantilever far from boundaries. This results in a lower frequency and quality factor for the fundamental resonance. This can impede experimental efforts because broad peaks lack distinct features that can be used to identify experimental signals. An option to overcome the large viscous damping is to take advantage of higher modes of cantilever oscillation. The higher frequency oscillations of the higher modes generate a smaller viscous boundary layer and have a reduced added mass. As a result, the quality factor increases with increasing mode number. The frequency dependence of the fluid dynamics around a fluctuating microscale cantilever is also studied. The mass of fluid entrained by the cantilever and the viscous damping quantify the interaction of a cantilever with the surrounding fluid and are computed. Analytical expressions for these parameters are derived for moderate mode number. The techniques and findings of this thesis have broad applicability to a wide range of micro and nanotechnologies that rely upon understanding the dynamics of small scale structures in fluid.<br>Ph. D.
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Pedurand, Richard. "Instrumentation for Thermal Noise Spectroscopy." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1356.

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La résolution des interféromètres gravitationnels est limitée par le mouvement Brownien - ou bruit thermique - de leurs miroirs dans la partie centrale de leur bande de détection, entre 10Hz et 1kHz. La répartition en fréquence de ce bruit thermique est dictée par les mécanismes de dissipation d'énergie mécanique à l'origine de cette vibration aléatoire, en accord avec le théorème fluctuation-dissipation. Cette dissipation provient principalement des revêtements optiques déposés sur les miroirs pour leur donner leur réflectivité. Dans le but de réduire le bruit thermique, une nouvelle génération de détecteurs d'ondes gravitationnelles employant des miroirs refroidis à température cryogénique a été proposée. Le développement de nouveaux matériaux optiques en couche mince à faible dissipation mécanique, opérant à la fois à température ambiante et température cryogénique, demande donc de nouveaux outils expérimentaux. L'objet principal de cette thèse est la construction d'un nouvel instrument, le CryoQPDI, qui consiste en l'association d'un interféromètre haute résolution et d'un cryostat basé sur un refroidisseur pulse tube. Il est capable de mesurer directement le mouvement Brownien d'un microlevier entre 300 K et 7 K. En combinant des mesures effectuées sur un microlevier avant et après le dépôt d'une couche mince, il est possible de caractériser la dissipation mécanique interne de cette couche mince. Cet instrument participera ainsi à l'optimisation des revêtements optiques des futurs interféromètres gravitationnels, dans le but de minimiser les nuisances dues au bruit thermique<br>The resolution limit of gravitational wave interferometers is set by their mirrors' Brownian motion – or thermal noise - in the central part of their detection band, from 10Hz to 1kHz. This thermal noise frequency distribution is given by the mechanical energy dissipation mechanisms it originates from, in agreement with the fluctuation-dissipation theorem. This dissipation mainly derives from the optical coatings deposited on the mirrors to give them their reflectivity. To reduce this thermal noise, a new generation of gravitational wave detectors employing mirrors cooled to cryogenic temperature has been suggested. The development of new optical thin-film materials with low mechanical dissipation, operating at both room and cryogenic temperatures, therefore requires new experimental tools. The main object of this thesis is the construction of a new instrument, the CryoQPDI, which is an association between a high-resolution interferometer and a cryostat based on a pulse tube cooler. It can directly measure the Brownian motion of a microcantilever between 300 K and 7 K. By combining measurements made on a microcantilever before and after the deposition of a thin film, it is possible to characterize the internal mechanical dissipation of this thin film. This instrument will eventually contribute to the optimisation of optical coatings of future gravitational wave detectors, aiming at minimizing the limitations due to thermal noise
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Beuerle, Matthias [Verfasser], and Christian [Akademischer Betreuer] Ochsenfeld. "Development of low-scaling methods to calculate ground state energies and analytical gradients based on the adiabatic-connection fluctuation-dissipation theorem / Matthias Beuerle ; Betreuer: Christian Ochsenfeld." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2019. http://d-nb.info/1190563657/34.

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Robbins, Brian Alan. "The Correlated Dynamics of Micron-Scale Cantilevers in a Viscous Fluid." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/51090.

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A number of microcantilever systems of fundamental importance are explored using theoretical and numerical methods to quantify and provide physical insights into the dynamics of experimentally accessible systems that include a variety of configurations and viscous fluids. It is first shown that the correlated dynamics of both a laterally and vertically offset cantilever pair can be accurately predicted by numerical simulations. This is verified by comparing the correlated dynamics yielded by numerical simulations with experimental measurement. It is also demonstrated that in order to obtain these accurate predictions, geometric details of the cantilever must be included in the numerical simulation to directly reflect the experimental cantilever. A microrheology technique that utilizes the fluctuation-dissipation theorem is proposed. It is shown that by including the frequency dependence of the fluid damping, improvements in accuracy of the predictions of the rheological properties of the surrounding fluid are observed over current techniques. The amplitude spectrum of a 2-D cantilever in a power-law fluid is studied. The resulting amplitude spectrum yielded a curve similar to an overdamped system. It is observed that the amplitude and noise spectrum yield the same qualitative response for a 2-D cantilever in a shear thinning, power-law fluid. The correlated dynamics of a tethered vertically offset cantilever pair is investigated. It is shown that for a range of stiffness ratios, which is the ratio of the spring constant of the tethering relative to the cantilever spring constant, the change in the correlated dynamics of a Hookean spring tethered cantilever pair can be seen in the presence of fluid coupling. The dynamics of a spring-mass tethered, vertically offset cantilever pair is qualitatively studied by simplifying the model to an array of springs and masses. The resulting study found that the correlated dynamics of the displacement of mass of the tethered object yielded newly observed features and characteristics. It is shown that the curve shape of the cross-correlation of the displacement of the mass of the tethered object is similar to that of the auto-correlation of the displacement of the mass representing a step forced cantilever. The cross-correlation of the displacement of the mass of the tethered object, however, is found to be significantly more dependent on the stiffness ratio than the auto-correlation of the displacement of the mass representing a cantilever for t > 0. At t = 0, it is observed that the mass of the tethered object yields the same finite value for the cross-correlation for all studied values of the stiffness ratio. This characteristic is a result of the symmetry of the studied spring-mass system.<br>Ph. D.
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Caussarieu, Aude. "Propriétés dynamiques de la transition de Fréedericksz et vieillissement au point critique." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2012. http://tel.archives-ouvertes.fr/tel-00790177.

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Le vieillissement physique est un sujet très actif en physique statistique car il ouvre la perspective d'une généralisation de la physique statistique à l'équilibre à des cas faiblement hors équilibre. Dans ce contexte où d'importants travaux ont été réalisés sur les polymères et les verres de spin, des travaux théoriques ont montré l'intérêt que pouvait apporter l'étude de système subissant une transition de phase du second ordre, les ingrédients théoriques étant plus simples. Nous avons donc étudié dans le détail la transition de Fréedericksz dans un cristal liquide qui est décrite par une transition du second ordre afin d'utiliser ensuite ce système pour faire une étude expérimentale du vieillissement au point critique. Nous avons alors montré que les équations usuellement utilisées (développement de l'énergie libre à la Landau) pour décrire la dynamique de cette transition ont un domaine de validité extrêmement mince qui n'est pas accessible expérimentalement. Il faut donc tenir compte des termes non linéaires de l'énergie libre pour décrire la dynamique du système, même dans le cadre de la réponse linéaire. Nous avons montré dans ce cadre le très bon accord entre la simulation numérique sans paramètre ajustable et les résultats expérimentaux. Nous avons ensuite étudié le comportement des fluctuations au voisinage du seuil de la transition et montré que lorsque la normalisation tenait bien compte du fait que la mesure est celle d'une variable quadratique, alors les fluctuations étaient d'amplitude maximale au seuil de la transition de Fréedericksz, comme on l'attend d'une transition du second ordre. L'étude de ces fluctuations permet alors de mesurer précisément la valeur du champ critique, ce qui est une mesure totalement nouvelle. Nous avons ensuite réalisé une étude de la dynamique des fluctuations du système lors de la réponse à une marche du paramètre de contrôle de la transition de Fréedericksz, et en particulier lors de trempes au point critique. Nous avons alors retrouvé les résultats prédits sur les systèmes de verres de spin, et nous montrons le lien entre la violation du théorème de fluctuation dissipation et l'évolution de la variance. Enfin nous avons monté un dispositif permettant de faire l'étude spatio-temporelle du système, nous avons montré que les 2 dispositifs mis en œuvre étaient limités par leur sensibilité dépendant de la valeur moyenne du paramètre d'ordre et nous proposons donc un autre système de mesure que nous n'avons pas eu le temps d'implémenter.
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Ghosh, Santunu. "Study on the origin of 1/f in bulk acoustic wave resonators." Thesis, Besançon, 2014. http://www.theses.fr/2014BESA2046/document.

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Depuis quelques décennies, la technologie de contrôle de la fréquence a été au coeur de l'électronique des tempsmodernes grâce à son vaste domaine d'applications dans les systèmes de communication, les ordinateurs, les systèmesde navigation ou de défense militaire. Les dispositifs temps-fréquence fournissent des stabilités de fréquence et despuretés spectrales élevées dans le domaine de la stabilité court-terme. L'amélioration de la performance de cesdispositifs reste un grand défi pour les chercheurs. La réduction du bruit afin d'augmenter cette stabilité court-terme etd'éviter les commutations non souhaitées entre les canaux est donc très souhaitable. Il est communément admis que lalimitation fondamentale à cette stabilité court-terme est due au bruit flicker de fréquence des résonateurs. Dans cemanuscrit, un premier chapitre rappelle quelques faits de base sur l’acoustique, la cristallographie et les définitions dudomaine temps-fréquence nécessaires à l’étude des résonateurs et oscillateurs ultra-stables. Le deuxième chapitre estconsacré à un résumé de la littérature sur le bruit de fréquence en 1/f. Ensuite, le troisième chapitre concerne nos étudessur le modèle quantique de bruit en 1/f du Pr. Handel, qui, bien que critiqué par beaucoup, est encore le seul qui fournitune estimation de l'amplitude de plancher de bruit en 1/f et qui n'est pas infirmé par les données expérimentales. Dans lequatrième chapitre, une autre approche, basée sur le théorème de fluctuation-dissipation, est utilisée afin de mettre descontraintes numériques sur un modèle de bruit en 1/f causé par une dissipation interne (ou de structure) proportionnelleà l'amplitude, et non à la vitesse. Le dernier chapitre est consacré aux résultats expérimentaux. Le design et lesparamètres du résonateur ultra-stable utilisé lors de cette étude sont décrits. Les mesures de bruit de phase sur plusieurslots de résonateurs sont données. Les mesures des paramètres de résonateur ont été effectuées à basse température afinde les corréler avec les résultats de bruit. Afin d'évaluer rapidement la qualité des différents résonateurs, une autreapproche dans le domaine temporel a été testée. Elle utilise des oscillations pseudo-périodiques transitoires mettant lesoscilloscopes numériques actuellement disponibles à leurs limites de capacité. Enfin, les conclusions et perspectivessont présentées<br>Since a few decades, frequency control technology has been at the heart of modern day electronics due to its huge areaof applications in communication systems, computers, navigation systems or military defense. Frequency controldevices provide high frequency stabilities and spectral purities in the short term domain. However, improvement of theperformance of these devices, in terms of frequency stability, remains a big challenge for researchers. Reducing noise inorder to increase the short term stability and avoid unwanted switching between channels is thus very desirable. It iscommonly admitted that the fundamental limitation to this short-term stability is due to flicker frequency noise in theresonators. In this manuscript, a first chapter recalls some basic facts about acoustic, crystallography and definitions oftime and frequency domain needed to explore ultra-stable resonators and oscillators. The second chapter is devoted to asummary of the literature on flicker frequency noise. Then, the third chapter concerns our studies on Handel’s quantum1/f noise model, which although criticized by many, is still the only one that provides an estimation of the flooramplitude of 1/f noise that is not invalidated by experimental data. In the fourth chapter, another approach, based on thefluctuation-dissipation theorem, is used in order to put numerical constraints on a model of 1/f noise caused by aninternal (or structural) dissipation proportional to the amplitude and not to the speed. The last chapter is devoted toexperimental results. An ultra-stable resonator used during this study is described. Phase noise measurements on severalbatches of resonators are given. Measurements of resonator parameters have been done at low temperature in order tocorrelate them with noise results. Another approach with a procedure that use transient pseudo periodic oscillations andput to their limits the capacities of presently available digital oscilloscopes, is presented, in order to assess rapidly thequality of various resonators. Finally, conclusions and perspectives are given
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Books on the topic "Fluctuation-dissipation theorem"

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Stratonovich, Rouslan L. Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems. Springer Berlin Heidelberg, 1992.

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Stratonovich, R. L. Nonlinear nonequilibrium thermodynamics I: Linear and nonlinear fluctuation-dissipation theorems. Springer-Verlag, 1992.

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Gu, Xiao-yue. The quadratic fluctuation-dissipation theorem and the dielectric function for a degenerate electrongas. 1989.

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Milonni, Peter W. An Introduction to Quantum Optics and Quantum Fluctuations. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199215614.001.0001.

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This book is an introduction to quantum optics for students who have studied electromagnetism and quantum mechanics at an advanced undergraduate or graduate level. It provides detailed expositions of theory with emphasis on general physical principles. Foundational topics in classical and quantum electrodynamics, including the semiclassical theory of atom-field interactions, the quantization of the electromagnetic field in dispersive and dissipative media, uncertainty relations, and spontaneous emission, are addressed in the first half of the book. The second half begins with a chapter on the Jaynes-Cummings model, dressed states, and some distinctly quantum-mechanical features of atom-field interactions, and includes discussion of entanglement, the no-cloning theorem, von Neumann’s proof concerning hidden variable theories, Bell’s theorem, and tests of Bell inequalities. The last two chapters focus on quantum fluctuations and fluctuation-dissipation relations, beginning with Brownian motion, the Fokker-Planck equation, and classical and quantum Langevin equations. Detailed calculations are presented for the laser linewidth, spontaneous emission noise, photon statistics of linear amplifiers and attenuators, and other phenomena. Van der Waals interactions, Casimir forces, the Lifshitz theory of molecular forces between macroscopic media, and the many-body theory of such forces based on dyadic Green functions are analyzed from the perspective of Langevin noise, vacuum field fluctuations, and zero-point energy. There are numerous historical sidelights throughout the book, and approximately seventy exercises.
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Batterman, Robert W. A Middle Way. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197568613.001.0001.

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This book focuses on a method for exploring, explaining, and understanding the behavior of large many-body systems. It describes an approach to non-equilibrium behavior that focuses on structures (represented by correlation functions) that characterize mesoscale properties of the systems. In other words, rather than a fully bottom-up approach, starting with the components at the atomic or molecular scale, the “hydrodynamic approach” aims to describe and account for continuum behaviors by largely ignoring details at the “fundamental” level. This methodological approach has its origins in Einstein’s work on Brownian motion. He gave what may be the first instance of “upscaling” to determine an effective (continuum) value for a material parameter—the viscosity. His method is of a kind with much work in the science of materials. This connection and the wide-ranging interdisciplinary nature of these methods are stressed. Einstein also provided the first expression of a fundamental theorem of statistical mechanics called the Fluctuation-Dissipation theorem. This theorem provides the primary justification for the hydrodynamic, mesoscale methodology. Philosophical consequences include an argument to the effect that mesoscale parameters can be the natural variables for characterizing many-body systems. Further, the book offers a new argument for why continuum theories (fluid mechanics and equations for the bending of beams) are still justified despite completely ignoring the fact that fluids and materials have lower scale structure. The book argues for a middle way between continuum theories and atomic theories. A proper understanding of those connections can be had when mesoscales are taken seriously.
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Evans, Denis James, Debra Joy Searles, and Stephen Rodney Williams. Fundamentals of Classical Statistical Thermodynamics: Dissipation, Relaxation, and Fluctuation Theorems. Wiley & Sons, Incorporated, John, 2016.

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Evans, Denis James, Debra Joy Searles, and Stephen Rodney Williams. Fundamentals of Classical Statistical Thermodynamics: Dissipation, Relaxation, and Fluctuation Theorems. Wiley & Sons, Incorporated, John, 2016.

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Stratonovich, Rouslan L. Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems (Springer Series in Synergetics). Springer, 1993.

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Book chapters on the topic "Fluctuation-dissipation theorem"

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Dusad, Ritika. "Fluctuation Dissipation Theorem." In Magnetic Monopole Noise. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58193-0_7.

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Okabe, Yasunori. "Langevin Equation and Fluctuation-Dissipation Theorem." In Stochastic Processes and their Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2117-7_16.

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Abaimov, Sergey G. "Correlations, Susceptibility, and the Fluctuation–Dissipation Theorem." In Springer Series in Synergetics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12469-8_6.

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Govorov, Alexander, Pedro Ludwig Hernández Martínez, and Hilmi Volkan Demir. "Theoretical Approaches: Exciton Theory, Coulomb Interactions and Fluctuation-Dissipation Theorem." In Understanding and Modeling Förster-type Resonance Energy Transfer (FRET). Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-287-378-1_5.

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Hunt, Katharine L. C. "A Nonlocal Energy Functional Derived from the Fluctuation-Dissipation Theorem." In ACS Symposium Series. American Chemical Society, 2007. http://dx.doi.org/10.1021/bk-2007-0958.ch010.

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Hasegawa, Hiroshi H., and Yoshikazu Ohtaki. "Generalization of the Fluctuation-Dissipation Theorem for Excess Heat Production." In Geometric Structures of Phase Space in Multidimensional Chaos. John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch19.

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Jiang, Da-Quan, Min Qian, and Min-Ping Qian. "4 Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-40957-1_5.

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Chûjô, Riichirô, Kyoko Fukutani, and Yoshiko Magoshi. "Estimation of Physical Properties of Archeological Silk with NMR Relaxation Time and Fluctuation-Dissipation Theorem." In ACS Symposium Series. American Chemical Society, 2002. http://dx.doi.org/10.1021/bk-2003-0834.ch007.

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Efremov, G. F., A. Y. Chekhov, L. G. Mourokh, and M. A. Novikov. "Fluctuation-Dissipation Quantum Electrodynamics." In The Present Status of the Quantum Theory of Light. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5682-0_9.

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Niquet, Y. M., and M. Fuchs. "The Exchange-Correlation Potential in the Adiabatic-Connection Fluctuation-Dissipation Framework." In Time-Dependent Density Functional Theory. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-35426-3_29.

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Conference papers on the topic "Fluctuation-dissipation theorem"

1

Corberi, Federico. "Off-Equilibrium Fluctuation-Dissipation Theorem in Coarsening Systems." In MODELING OF COMPLEX SYSTEMS: Seventh Granada Lectures. AIP, 2003. http://dx.doi.org/10.1063/1.1571302.

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Shiktorov, P. "Can Quantum Regression Theorem Be Reconciled with Quantum Fluctuation Dissipation Theorem ?" In UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS: UPoN 2002: Third International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology. AIP, 2003. http://dx.doi.org/10.1063/1.1584937.

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Devel, M., R. Bourquin, S. Ghosh, J. Imbaud, G. Cibiel, and F. Sthal. "Quartz crystal resonator noise and fluctuation-dissipation theorem considerations." In 2012 IEEE International Frequency Control Symposium (FCS). IEEE, 2012. http://dx.doi.org/10.1109/fcs.2012.6243665.

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Gradoni, Gabriele, and Luk R. Arnaut. "Theoretical model of transient random fields based on the fluctuation-dissipation theorem." In 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010). IEEE, 2010. http://dx.doi.org/10.1109/ursi-emts.2010.5637041.

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Yurkin, Maxim A., and Alexander E. Moskalensky. "Polarizability and fluctuation-dissipation theorem for a point dipole: Does shape matter?" In INTERNATIONAL CONFERENCE ON PHYSICS AND CHEMISTRY OF COMBUSTION AND PROCESSES IN EXTREME ENVIRONMENTS (COMPHYSCHEM’20-21) and VI INTERNATIONAL SUMMER SCHOOL “MODERN QUANTUM CHEMISTRY METHODS IN APPLICATIONS”. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0031688.

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Pinto, O. A., F. Romá, A. J. Ramirez-Pastor, and F. Nieto. "Violation of fluctuation-dissipation theorem in the off-equilibrium dynamics of a system with non additive interactions." In NONEQUILIBRIUM STATISTICAL PHYSICS TODAY: Proceedings of the 11th Granada Seminar on Computational and Statistical Physics. AIP, 2011. http://dx.doi.org/10.1063/1.3569553.

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Mishonov, T. M., I. M. Dimitrova, and A. M. Varonov. "Nyquist and Callen-Welton fluctuation-dissipation theorem as a consequence of detailed balance principle applied for a resonance RLC-circuit." In 10th Jubilee International Conference of the Balkan Physical Union. Author(s), 2019. http://dx.doi.org/10.1063/1.5091130.

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Sa´nchez, J. H., and C. Rinaldi. "Simulations of Magnetoviscosity of Dilute Suspensions of Magnetic Ellipsoids." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66833.

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We studied the rotational Brownian motion of magnetic triaxial ellipsoidal particles (orthotropic particles) suspended in a Newtonian fluid, in the dilute suspension limit, under applied shear and magnetic fields. The algorithm describing the change in the particle magnetization has been derived from the stochastic angular momentum equation using the fluctuation-dissipation theorem and a quaternion formulation of orientation space. Results are presented for the response of dilute suspensions of ellipsoidal particles to constant magnetic and shear flow fields.
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Phelan, P. E., and J. R. Pacheco. "Numerical Computation of the Effects of Brownian Motion on the Effective Thermal Conductivity of Suspensions." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42706.

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In this paper, a numerical scheme based on the immersed boundary method is used to study the motion of nano-sized particles subjected to Brownian motion and heat transfer. Our objective is to use this numerical technique as a tool to better understand the effect that Brownian forces have on the overall heat transfer process. The conventional approach to perform Brownian dynamic simulations is based on the use of a random force in the particle motion such that the fluctuation-dissipation theorem is satisfied. Our preliminary computational results suggest an increase in the thermal conductivity of the bulk fluid. Results are presented for several particles in a two-dimensional space.
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Narayanaswamy, Arvind, and Gang Chen. "Near Field Surface Wave Enhanced Photon Transport." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47055.

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Radiative energy transfer as described by the classical radiation transfer theory of Planck is valid only when the distance between the participating surfaces is larger than a few wavelengths of the characteristic radiation. When the spacing is comparable to the wavelength, electromagnetic theory and the fluctuation-dissipation theorem can be used to predict the energy transfer between the surfaces. We have used the electromagnetic Green’s function method to model the thermal energy transfer between two half planes with planar layers in between. With polar materials as the half planes, we see a narrowband energy transfer in the near field due to energy transfer by surface phonon polaritons. We have used this technique to show that such a resonance, however dampened, persists even with the presence of a layer of photovoltaic material. This results in not only an increased energy transfer to the photovoltaic material as compared to black body radiation but also imparts a narrowband characteristic to it. The implications for thermophotovoltaics are discussed.
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