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Strong interaction with other particles or feedback from the medium on a Brownian particle entail memory effects in the effective dynamics. We discuss the extension of the fluctuation-dissipation theorem to nonequilibrium Langevin systems…

Statistical Mechanics · Physics 2013-09-23 C. Maes , S. Safaverdi , P. Visco , F. van Wijland

Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

Statistical Mechanics · Physics 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance.…

Statistical Mechanics · Physics 2015-05-30 Haidong Feng , Jin Wang

We present numerical tests of the fluctuation-dissipation theorem (FDT) in the dumbbell model of spin ice with parameters suitable for dysprosium titanate. The tests are made for local spin variables, magnetic monopole density, and energy.…

Statistical Mechanics · Physics 2022-04-29 Valentin Raban , Ludovic Berthier , Peter C. W. Holdsworth

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal…

Statistical Mechanics · Physics 2016-04-06 G. Falasco , K. Kroy

Fluctuation Theorems are statements about the entropy of systems far from thermal equilibrium. In this Letter relativistic Fluctuation Theorems for Brownian motion are presented and proven. Though there is a known discretization dilemma…

Statistical Mechanics · Physics 2007-05-23 Axel Fingerle

We study the stationary dynamics of an active interacting Brownian particle system. We measure the violations of the fluctuation dissipation theorem, and the corresponding effective temperature, in a locally resolved way. Quite naturally,…

Statistical Mechanics · Physics 2020-07-29 Isabella Petrelli , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma

The infrared dynamics of a minimally coupled scalar field in de Sitter spacetime can be described as Brownian motion of a particle in a medium of de Sitter temperature $T_{DS}=\frac{H}{2\pi}$. The system obeys a fluctuation-dissipation…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-02 Gerasimos Rigopoulos

We use the work done on and the heat removed from a system to maintain it in a nonequilibrium steady state for a thermodynamic-like description of such a system as well as of its fluctuations. Based on a generalized Onsager-Machlup theory…

Statistical Mechanics · Physics 2008-02-10 Tooru Taniguchi , E. G. D. Cohen

We study Brownian motion driven with both conservative and nonconservative external forces. By using the thermodynamic approach of the theory of Brownian motion we obtain the Fokker-Planck equation and derive expressions for the Fluctuation…

Statistical Mechanics · Physics 2009-11-13 A. Perez-Madrid , I. Santamaria-Holek

In this Letter we report the measurement of a pseudo-temperature for compacting granular media on the basis of the Fluctuation-Dissipation relations in the aging dynamics of a model system. From the violation of the Fluctuation-Dissipation…

Statistical Mechanics · Physics 2009-11-07 Vittoria Colizza , Alain Barrat , Vittorio Loreto

We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

Statistical Mechanics · Physics 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

We review a series of experimental studies of the thermodynamics of nonequilibrium processes at the microscale. In particular, in these experiments we studied the fluctuations of the thermodynamic properties of a single optically-trapped…

Statistical Mechanics · Physics 2016-06-22 L. Dinis , I. A. Martínez , É. Roldán , J. M. R. Parrondo , R. A. Rica

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

We investigate the validity of Fluctuation-Dissipation (FD) relations for a mixture of two granular gases with different physical properties (restitution coefficients or masses) subject to stochastic driving. It is well known that the…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Vittorio Loreto , Andrea Puglisi

Response functions and fluctuations measured locally in complex materials should equally well characterize mesoscopic-scale dynamics. The fluctuation-dissipation-relation (FDR), relates the two in equilibrium, a fact used regularly, for…

Disordered Systems and Neural Networks · Physics 2015-05-19 H. Oukris , N. E. Israeloff

We establish a unified fluctuation-response relation for Langevin dynamics. By exploiting the common mathematical structures underlying fluctuations and responses of empirical density and current, we derive a unified identity that…

Statistical Mechanics · Physics 2026-01-26 Hyun-Myung Chun , Euijoon Kwon , Hyunggyu Park , Jae Sung Lee

Quantifying and characterizing fluctuations far away from equilibrium is a challenging task. We discuss and experimentally confirm a series expansion for a driven classical system, relating the different non-equilibrium cumulants of the…

Statistical Mechanics · Physics 2025-09-29 Juliana Caspers , Karthika Krishna Kumar , Clemens Bechinger , Matthias Krüger

The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of its components to heat baths kept at different…

Statistical Mechanics · Physics 2022-08-09 S. Cerasoli , S. Ciliberto , E. Marinari , G. Oshanin , L. Peliti , L. Rondoni
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