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Fluctuation relations allow for the computation of equilibrium properties, like free energy, from an ensemble of non-equilibrium dynamics simulations. Computing them for quantum systems, however, can be difficult, as performing dynamic…

Quantum Physics · Physics 2021-09-07 Lindsay Bassman , Katherine Klymko , Diyi Liu , Norman M. Tubman , Wibe A. de Jong

We investigate the statistical equilibrium properties of a system of classical particles interacting via Newtonian gravity, enclosed in a three-dimensional spherical volume. Within a mean-field approximation, we derive an equation for the…

Statistical Mechanics · Physics 2014-10-13 E. V. Votyakov , A. De Martino , D. H. E. Gross

In this contribution I critically revise the alchemical reversible approach in the context of the statistical mechanics theory of non covalent bonding in drug receptor systems. I show that most of the pitfalls and entanglements for the…

Biomolecules · Quantitative Biology 2016-06-29 Piero Procacci

We derive general expressions for the free energy, entropy production and entropy extraction rates for a Brownian particle that walks in a viscous medium where the dynamics of its motion is governed by the Langevin equation. It is shown…

Statistical Mechanics · Physics 2016-09-14 Mesfin Asfaw Taye

A nonequilibrium system is characterized by a set of thermodynamic forces and fluxes which give rise to entropy production (EP). We show that these forces and fluxes have an information-geometric structure, which allows us to decompose EP…

Statistical Mechanics · Physics 2022-12-16 Artemy Kolchinsky , Andreas Dechant , Kohei Yoshimura , Sosuke Ito

The formation and transition of patterns of two-dimensional turbulent flows observed in various geophysical systems are commonly explained in terms of statistical mechanics. Different from ordinary systems, for a two-dimensional flow, the…

Fluid Dynamics · Physics 2023-01-11 Yohei Onuki

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

Most non-equilibrium processes in thermodynamics are quantified only by inequalities, however the Jarzynski relation presents a remarkably simple and general equality relating non-equilibrium quantities with the equilibrium free energy, and…

Quantum Physics · Physics 2018-04-04 T. P. Xiong , L. L. Yan , F. Zhou , K. Rehan , D. F. Liang , L. Chen , W. L. Yang , Z. H. Ma , M. Feng , V. Vedral

A thermodynamic expression for the analog of the canonical ensemble for nonequilibrium systems is described based on a purely information theoretical interpretation of entropy. As an application, it is shown that this nonequilibrium…

Statistical Mechanics · Physics 2012-08-13 Maarten H. P. Ambaum

Intrinsically nonlinear coupled systems present different oscillating components that exchange energy among themselves. We present a new approach to deal with such energy exchanges and to investigate how it depends on the system control…

Chaotic Dynamics · Physics 2018-07-06 M. C. de Sousa , F. A. Marcus , I. L. Caldas , R. L. Viana

We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production, in particular, is a measure of the loss of…

Statistical Mechanics · Physics 2025-02-17 Danilo Forastiere , Francesco Avanzini , Massimiliano Esposito

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

Statistical Mechanics · Physics 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

Recent years have witnessed major advances in our understanding of nonequilibrium processes. The Jarzynski equality, for example, provides a link between equilibrium free energy differences and finite-time, nonequilibrium dynamics. We…

Statistical Mechanics · Physics 2016-04-27 Dibyendu Mandal , Michael R. DeWeese

We present a novel method for the calculation of the energy density of states D(E) for systems described by classical statistical mechanics. The method builds on an extension of a recently proposed strategy that allows the free energy…

Statistical Mechanics · Physics 2009-11-10 Cristian Micheletti , Alessandro Laio , Michele Parrinello

Free energy profiles serve as a fundamental bridge between microscopic atomic fluctuations and macroscopic thermodynamic observables. Estimating the free energy profile along a reaction coordinate, referred to as the potential of mean force…

We describe a systematic development of kinetic entropy as a diagnostic in fully kinetic particle-in-cell (PIC) simulations and use it to interpret plasma physics processes in heliospheric, planetary, and astrophysical systems. First, we…

We show that in weakly confining conservative force fields, a subclass of diffusion-type (Smoluchowski) processes, admits a family of "heavy-tailed" non-Gaussian equilibrium probability density functions (pdfs), with none or a finite number…

Statistical Mechanics · Physics 2010-11-30 Piotr Garbaczewski , Vladimir Stephanovich

We present several equilibrium methods that allow to compute isentropic processes, either during the compression or the release of the material. These methods are applied to compute the isentropic release of a shocked monoatomic liquid at…

Statistical Mechanics · Physics 2015-05-13 Jean-Bernard Maillet , Emeric Bourasseau , Laurent Soulard , Jean Clerouin , Gabriel Stoltz