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Related papers: On the second fluctuation--dissipation theorem for…

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Important models of nonequilibrium statistical physics (NESP) are limited by a commonly used, but often unrecognized, near-equilibrium approximation. Fokker-Planck and Langevin equations, the Einstein and random-flight diffusion models, and…

Statistical Mechanics · Physics 2023-03-09 Jonathan Asher Pachter , Ken A. Dill

Non-reciprocal interactions play a key role in shaping transport in active and passive systems, giving rise to striking nonequilibrium behavior. Here, we study the dynamics of a tracer -- active or passive -- embedded in a bath of active or…

Statistical Mechanics · Physics 2026-01-08 Subhajit Paul , Debasish Chaudhuri

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

Statistical Mechanics · Physics 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time…

Quantum Physics · Physics 2018-05-28 Mohammad Mehboudi , Anna Sanpera , Juan M. R. Parrondo

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

Statistical Mechanics · Physics 2023-12-15 T. R. Kirkpatrick , D. Belitz

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

Statistical Mechanics · Physics 2007-07-31 E. G. D. Cohen , Ramses van Zon

The validity of Einstein's fluctuation-dissipation relation is discussed in respect to the type of relaxation in an isothermal system. The first model, presuming isothermic fluctuations, leads to the Einstein formula. The second model…

Statistical Mechanics · Physics 2011-04-08 Roumen Tsekov

We show that the general two-variable Langevin equations with inhomogeneous noise and friction can generate many different forms of power-law distributions. By solving the corresponding stationary Fokker-Planck equation, we can obtain a…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

We consider a three-terminal system with a chiral edge channel connecting the source and drain terminals. Charge can tunnel between the chiral edge and a third terminal. The third terminal is maintained at a different temperature and…

Statistical Mechanics · Physics 2015-05-27 Chenjie Wang , D. E. Feldman

We study nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces, in a stochastic as well as a deterministic set up. We consider a system and a heat bath, called the combined…

Statistical Mechanics · Physics 2010-02-22 Punyabrata Pradhan

We study the non-equilibrium dynamics of domain walls in real time for $\phi^4$ and Sine Gordon models in 1+1 dimensions in the dilute regime. The equation of motion for the collective coordinate is obtained by integrating out the meson…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. M. Alamoudi , D. Boyanovsky , F. I. Takakura

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

Statistical Mechanics · Physics 2015-06-05 Takahiro Sagawa , Masahito Ueda

The Fluctuation Theorem gives an analytical expression for the probability of observing second law violating dynamical fluctuations, in nonequilibrium systems. At equilibrium statistical mechanical fluctuations are known to be ensemble…

Statistical Mechanics · Physics 2019-07-30 Debra J. Searles , Denis J. Evans

At equilibrium, a fluid element, within a larger heat bath, receives random impulses from the bath. Those impulses, which induce stochastic transitions in the system (the fluid element), respect the principle of detailed balance, because…

Statistical Mechanics · Physics 2009-11-13 Aditi Simha , R. M. L. Evans , A. Baule

In this work, we extend the recently established system-bath entanglement theorem (SBET) [J. Chem. Phys. 152, 034102 (2020)] to the nonequilibrium scenario, in which an arbitrary system couples to multiple Gaussian baths environments at…

Quantum Physics · Physics 2021-12-06 Peng-Li Du , Zi-Hao Chen , Yu Su , Yao Wang , Rui-Xue Xu , YiJing Yan

Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic…

Statistical Mechanics · Physics 2015-05-13 Denis J. Evans , Debra J. Searles , Stephen R. Williams

In the Langevin formalism, the delicate balance maintained between the fluctuations in the system and their corresponding dissipation may be upset by the presence of a secondary, space-dependent stochastic force, particularly in the low…

Statistical Mechanics · Physics 2007-05-23 Jeremy M. Moix , Rigoberto Hernandez

Many kinds of active particles, such as bacteria or active colloids, move in a thermostatted fluid by means of self-propulsion. Energy injected by such a non-equilibrium force is eventually dissipated as heat in the thermostat. Since…

Statistical Mechanics · Physics 2017-07-17 Andrea Puglisi , Umberto Marini Bettolo Marconi

Fluctuations associated with relaxations in far-from-equilibrium regime is of fundamental interest for a large variety of systems within broad scales. Recent advances in techniques such as spectroscopy have generated the possibility for…

Quantum Physics · Physics 2021-09-08 Zhedong Zhang , Xuanhua Wang , Jin Wang