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Fluctuation theorems provide universal constraints on nonequilibrium energy and entropy fluctuations, making them a natural framework to assess how and to what extent quantum resources become thermodynamically relevant. We develop a unified…

量子物理 · 物理学 2025-12-19 Sukrut Mondkar , Sayan Mondal , Ujjwal Sen

In this paper, we extend the fluctuation theorems used for quantum channels to multitime processes. The fluctuation theorems for quantum channels are less restrictive. We show that the given entropy production can be equal to the result of…

量子物理 · 物理学 2022-06-30 Zhiqiang Huang

In this paper, we generalize the theory of Brownian motion and the Onsager-Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an…

统计力学 · 物理学 2016-09-28 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

The fluctuations of macroscopic observables in quantum systems which are in a nonequilibrium steady state are studied rigorously in the thermodynamic limit. In particular, the nonequilibrium steady state (NESS) of a quantum spin system that…

数学物理 · 物理学 2007-05-23 Walid K. Abou Salem

We discuss fluctuation relations in simple cases of non-equilibrium Langevin dynamics. In particular, we show that close to non-equilibrium steady states with non-vanishing probability currents some of these relations reduce to a modified…

统计力学 · 物理学 2009-11-13 Raphael Chetrite , Gregory Falkovich , Krzysztof Gawedzki

We present a dynamical description of slow relaxation processes based on the extension of Onsager's fluctuation theory to systems in local quasi-equilibrium. A non-Markovian Fokker-Planck equation for the conditional probability density is…

统计力学 · 物理学 2009-11-10 I. Santamaria-Holek , A. Perez-Madrid , J. M. Rubi

The authors in a previous paper proved the hydrodynamic incompressible limit in $d\ge 3$ for a thermal lattice gas, namely a law of large numbers for the density, velocity field and energy. In this paper the equilibrium fluctuations for…

数学物理 · 物理学 2007-05-23 O. Benois , R. Esposito , R. Marra

We study the fluctuation-dissipation theorem for a Brownian particle driven into a nonequilibrium steady state experimentally. We validate two different theoretical variants of a generalized fluctuation-dissipation theorem. Furthermore, we…

软凝聚态物质 · 物理学 2015-05-18 Jakob Mehl , Valentin Blickle , Udo Seifert , Clemens Bechinger

We study a class of non-equilibrium lattice models describing local redistributions of a globally conserved quantity, which is interpreted as an energy. A particular subclass can be solved exactly, allowing to define a statistical…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

核理论 · 物理学 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

We generalize the link between fluctuation theorems and thermodynamic uncertainty relations by deriving a bound on the variance of fluxes that satisfy an isometric fluctuation theorem. The resulting bound, which depends on the system's…

统计力学 · 物理学 2020-02-11 Hadrien Vroylandt , Karel Proesmans , Todd R. Gingrich

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

统计力学 · 物理学 2025-02-17 Pierre Nazé

The probability distribution of the entropy production for the effusion of an ideal gas between two compartments is calculated explicitly. The fluctuation theorem is verified. The analytic results are in good agreement with numerical data…

统计力学 · 物理学 2007-05-23 B. Cleuren , C. Van den Broeck , R. Kawai

In this work, we have studied simple models that can be solved analytically to illustrate various fluctuation theorems. These fluctuation theorems provide symmetries individually to the distributions of physical quantities like the…

统计力学 · 物理学 2015-05-20 Mamata Sahoo , Sourabh Lahiri , A. M. Jayannavar

The fluctuations of a Markovian jump process with one or more unidirectional transitions, where $R_{ij} >0$ but $R_{ji} =0$, are studied. We find that such systems satisfy an integral fluctuation theorem. The fluctuating quantity satisfying…

统计力学 · 物理学 2015-07-22 Saar Rahav , Upendra Harbola

Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin…

统计力学 · 物理学 2015-05-18 Bohdan I. Lev , Alexei D. Kiselev

The Fluctuation Theorem (FT) gives an analytic expression for the probability, in a nonequilibrium system of finite size observed for a finite time, that the dissipative flux will flow in the reverse direction to that required by the Second…

统计力学 · 物理学 2007-09-10 Gary Ayton , Denis J. Evans , Debra J. Searles

Using a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, $\sum_k p_k\ln(p_k/p_k^*)$, has a natural role in the energetics of equilibrium and…

数学物理 · 物理学 2007-05-23 Hong Qian

Fluctuations arising in nonlinear dissipative systems (diode, transistors, chemical reaction, etc.) subject to an external drive (voltage, chemical potential, etc.) are well known to elude any simple characterization such as the…

统计力学 · 物理学 2023-07-10 Jean-Charles Delvenne , Léopold Van Brandt