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The fluctuation relation of the Gallavotti-Cohen Fluctuation Theorem (GCFT) concerns fluctuations in the phase space compression rate of dissipative, reversible dynamical systems. It has been proven for Anosov systems, but it is expected to…

统计力学 · 物理学 2013-05-29 Denis J. Evans , Debra J. Searles , Lamberto Rondoni

The validity of the Fluctuation Relations (FR) for systems in a constant magnetic field is investigated. Recently introduced time-reversal symmetries that hold in presence of static electric and magnetic fields and of deterministic…

统计力学 · 物理学 2020-09-16 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

We test the applicability of the Gallavotti-Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is a one-particle system whose dynamics is rather complex (e.g. it appears to be diffusive at…

chao-dyn · 物理学 2007-05-23 S. Lepri , L. Rondoni , G. Benettin

In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of static responses in a notably simple form, thus…

统计力学 · 物理学 2025-04-17 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

The Fluctuation Relation (FR) is an asymptotic result on the distribution of certain observables averaged over time intervals T as T goes to infinity and it is a generalization of the fluctuation--dissipation theorem to far from equilibrium…

统计力学 · 物理学 2009-11-10 A. Giuliani , F. Zamponi , G. Gallavotti

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

统计力学 · 物理学 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Non-equilibrium stationary fluctuations may exhibit a special symmetry called fluctuation relations (FR). Here, we show that this property is always satisfied by the subtraction of two random and independent variables related by a…

统计力学 · 物理学 2011-12-13 Adrian A. Budini

Recently van Zon and Cohen [1-3] proposed an extension of the Fluctuation Theorems (FTs) of Evans and Searles [4]. For dissipative nonequilibrium systems, Cohen and van Zon studied the fluctuations of the heat absorbed, over a period of…

统计力学 · 物理学 2007-05-23 Denis J. Evans

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

统计力学 · 物理学 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

Fluctuations arise universally in Nature as a reflection of the discrete microscopic world at the macroscopic level. Despite their apparent noisy origin, fluctuations encode fundamental aspects of the physics of the system at hand, crucial…

统计力学 · 物理学 2011-06-06 Pablo I. Hurtado , Carlos Perez-Espigares , Jesus J. del Pozo , Pedro L. Garrido

The Fluctuation Relation for a stationary state, kept at constant energy by a deterministic thermostat - the Gallavotti-Cohen Theorem -- relies on the ergodic properties of the system considered. We show that when perturbed by an…

统计力学 · 物理学 2009-11-11 Jorge Kurchan

We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as iso-kinetic and Nos\'e-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average…

统计力学 · 物理学 2009-08-29 T. Gilbert , J. R. Dorfman

Near equilibrium, where all currents of a system vanish on average, the fluctuation-dissipation relation (FDR) connects a current's spontaneous fluctuations with its response to perturbations of the conjugate thermodynamic force. Out of…

统计力学 · 物理学 2016-11-02 Bernhard Altaner , Matteo Polettini , Massimiliano Esposito

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

统计力学 · 物理学 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

It has recently been pointed out that Hamiltonian particle systems in constant magnetic fields satisfy generalized time-reversal symmetries that enable to prove useful statistical relationships based on equilibrium phase-space probability…

统计力学 · 物理学 2021-02-24 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

The imposition of a global constraint of the conservation of total kinetic energy on a forced-dissipative Burgers equation yields a governing equation that is invariant under the time-reversal symmetry operation, $\{\mathcal{T}: t \to -t; u…

混沌动力学 · 物理学 2024-09-02 Arunava Das , Pinaki Dutta , Kamal L. Panigrahi , Vishwanath Shukla

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux…

统计力学 · 物理学 2009-10-31 Debra J. Searles , Denis J. Evans

Stochastic thermodynamics is an important development in the direction of finding general thermodynamic principles for non-equilibrium systems. We believe stochastic thermodynamics has the potential to benefit from the measure-theoretic…

统计力学 · 物理学 2023-07-06 Annwesha Dutta , Saikat Sarkar

We consider $N$ uniformly-accelerating Unruh-DeWitt detectors whose internal degrees of freedom are coupled to a massless scalar field in $(1+1)$D Minkowski space. We use the influence functional formalism to derive the Langevin equations…

高能物理 - 理论 · 物理学 2019-08-07 J. -T. Hsiang , B. L. Hu , S. -Y. Lin

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

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