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An expression is derived for the classical free energy difference between two configurations of a system, in terms of an ensemble of finite-time measurements of the work performed in parametrically switching from one configuration to the…

Statistical Mechanics · Physics 2009-10-28 C. Jarzynski

Non-equilibrium and equilibrium fluid systems differ due to the existence of long-range correlations in non-equilibrium that are not present in equilibrium, except at critical points. Here we examine fluctuations of the temperature, of the…

Statistical Mechanics · Physics 2015-09-02 T. R. Kirkpatrick , J. R. Dorfman

Fluctuations in a fluid are strongly affected by the presence of a macroscopic gradient making them long-ranged and enhancing their amplitude. While small-scale fluctuations exhibit diffusive lifetimes, larger-scale fluctuations live…

The evolution of observable quantities of finite quantum systems is analyzed when the latter are subject to nondestructive measurements. The type and number of measurements characterize the level of decoherence produced in the system. A…

Quantum Physics · Physics 2015-06-04 V. I. Yukalov

We obtain the large scale limit of the fluctuations around its hydrodynamic limit of the density of particles of a weakly asymmetric exclusion process in dimension up to three. The proof is based upon a sharp estimate on the relative…

Probability · Mathematics 2018-10-24 Milton Jara , Otávio Menezes

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…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem

Sampling the collective, dynamical fluctuations that lead to nonequilibrium pattern formation requires probing rare regions of trajectory space. Recent approaches to this problem based on importance sampling, cloning, and spectral…

Statistical Mechanics · Physics 2022-02-14 Jiawei Yan , Hugo Touchette , Grant M. Rotskoff

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

Statistical Mechanics · Physics 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large…

Statistical Mechanics · Physics 2016-10-26 Baoquan Feng , Shuai Yin , Fan Zhong

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

In equilibrium systems with short-ranged interactions, the relative stability of different thermodynamic states generally does not depend on system size (as long as this size is larger than the interaction range). Here, we use a large…

Statistical Mechanics · Physics 2013-05-30 Sorin Tanase-Nicola , David K. Lubensky

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

Nonequilibrium systems with large-scale fluctuations of a suitable system parameter are often effectively described by a superposition of two statistics, a superstatistics. Here we illustrate this concept by analysing experimental data of…

Statistical Mechanics · Physics 2009-11-11 C. Beck , E. G. D. Cohen , S. Rizzo

Condensation of fluctuations is an interesting phenomenon conceptually distinct from condensation on average. One stricking feature is that, contrary to what happens on average, condensation of fluctuations may occurr even in the absence of…

Statistical Mechanics · Physics 2014-07-31 Marco Zannetti , Federico Corberi , Giuseppe Gonnella

The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is…

Statistical Mechanics · Physics 2015-03-13 Jianhua Xing

A review of some recent results and ideas about the expected behaviour of large chaotic systems and fluids.

chao-dyn · Physics 2009-10-30 Giovanni Gallavotti

In statistical physics any given system can be either at an equilibrium or away from it. Networks are not an exception. Most network models can be classified as either equilibrium or growing. Here we show that under certain conditions there…

Statistical Mechanics · Physics 2013-08-13 Dmitri Krioukov , Massimo Ostilli

We study the equilibrium fluctuations for a gradient exclusion process with conductances in random environments, which can be viewed as a central limit theorem for the empirical distribution of particles when the system starts from an…

Probability · Mathematics 2011-04-08 Jonathan Farfan , Alexandre B. Simas , Fabio J. Valentim

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

Soft Condensed Matter · Physics 2020-04-15 Tanniemola B. Liverpool

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

Statistical Mechanics · Physics 2014-02-04 Jae Dong Noh