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Understanding the physics of non-equilibrium systems remains as one of the major open questions in statistical physics. This problem can be partially handled by investigating macroscopic fluctuations of key magnitudes that characterise the…

Soft Condensed Matter · Physics 2016-11-17 A. Lasanta , Pablo I. Hurtado , A. Prados

Coherent states provide a natural connection of quantum systems to their classical limit and are employed in various fields of physics. Here we derive general systematic expansions, with respect to quantum parameters, of expectation values…

Quantum Physics · Physics 2015-08-13 John Schliemann

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

It is shown that the recently proposed quantum analogue of classical energy equipartition theorem for two paradigmatic, exactly solved models (i.e., a free Brownian particle and a dissipative harmonic oscillator) also holds true for all…

Quantum Physics · Physics 2021-02-05 Jerzy Łuczka

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

Statistical Mechanics · Physics 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

We formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Within…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

By assuming that a particle of energy hbar.omega is actually a dissipative system maintained in a nonequilibrium steady state by a constant throughput of energy (heat flow), the exact Schroedinger equation is derived, both for conservative…

Quantum Physics · Physics 2008-06-02 Gerhard Groessing

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

Statistical Mechanics · Physics 2022-02-02 Gianluca Francica

Recently Mazenko and Das and Mazenko introduced a non-equilibrium field theoretical approach to describe the statistical properties of a classical particle ensemble starting from the microscopic equations of motion of each individual…

Statistical Mechanics · Physics 2015-06-23 Celia Viermann , Felix Fabis , Elena Kozlikin , Robert Lilow , Matthias Bartelmann

Fluctuation theorems have a very special place in the study of non equilibrium dynamics of physical systems. The form in which it is used most extensively is the Gallavoti-Cohen Fluctuation Theorem which is in terms of the distribution of…

Classical Physics · Physics 2015-12-01 G. S. Agarwal , Sushanta Dattagupta

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

Quantum Physics · Physics 2018-02-13 Johan Aberg

Correlated classical and quantum many-particle systems out of equilibrium are of high interest in many fields, including dense plasmas, correlated solids, and ultracold atoms. Accurate theoretical description of these systems is challenging…

Statistical Mechanics · Physics 2026-04-02 Erik Schroedter , Michael Bonitz

The classical theory of linear response applies to statistical mechanics close to equilibrium. Away from equilibrium, one may describe the microscopic time evolution by a general differentiable dynamical system, identify nonequilibrium…

Chaotic Dynamics · Physics 2009-11-13 David Ruelle

The Einstein relation, relating the steady state fluctuation properties to the linear response to a perturbation, is considered for steady states of stochastic models with a finite state space. We show how an Einstein relation always holds…

Statistical Mechanics · Physics 2007-05-23 T. Hanney , M. R. Evans

We consider a system of reaction-diffusion equations describing the reversible reaction of two species $\mathcal{U}, \mathcal{V}$ forming a third species $\mathcal{W}$ and vice versa according to mass action law kinetics with arbitrary…

Analysis of PDEs · Mathematics 2015-12-29 Klemens Fellner , El-Haj Laamri

It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuation effects in non-equilibrium thermodynamics. Triangular…

Statistical Mechanics · Physics 2024-12-31 So Katagiri , Yoshiki Matsuoka , Akio Sugamoto

Much of the structure of macroscopic evolution equations for relaxation to equilibrium can be derived from symmetries in the dynamical fluctuations around the most typical trajectory. For example, detailed balance as expressed in terms of…

Statistical Mechanics · Physics 2018-04-12 Richard Kraaij , Alexandre Lazarescu , Christian Maes , Mark Peletier

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

Statistical Mechanics · Physics 2014-04-22 T. G. Philbin , J. Anders

The two-time measurement scheme is well studied in the context of quantum fluctuation theorem. However, it becomes infeasible when the random variable determined by a single measurement trajectory is associated with the von-Neumann entropy…

Quantum Physics · Physics 2023-04-20 Akira Sone , Naoki Yamamoto , Tharon Holdsworth , Prineha Narang

A Response Function Theory and Scattering Theory applicable to the study of physical properties of systems driven arbitrarily away from equilibrium, specialized for dealing with ultrafast processes and in conditions of space resolution…

Statistical Mechanics · Physics 2012-10-31 Clóves G. Rodrigues , Áurea R. Vasconcellos , José Galvão Ramos , Roberto Luzzi
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