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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

We derive a simple closed analytical expression for the total entropy production along a single stochastic trajectory of a Brownian particle diffusing on a periodic potential under an external constant force. By numerical simulations we…

Statistical Mechanics · Physics 2015-06-25 A. Gomez-Marin , I. Pagonabarraga

The existence of two types of internal friction wet and dry is revisited, and a simple protocol is proposed for distinguishing between the two types and extracting the appropriate internal friction coefficient. The scheme requires…

Soft Condensed Matter · Physics 2020-07-03 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

We study the glassy dynamics taking place in dense assemblies of athermal active particles that are driven solely by a nonequilibrium self-propulsion mechanism. Active forces are modeled as an Ornstein-Uhlenbeck stochastic process,…

Soft Condensed Matter · Physics 2016-09-28 Elijah Flenner , Grzegorz Szamel , Ludovic Berthier

Non equilibrium Green's function methods are regularly used to calculate current and charge densities in nanoscale (both molecular and semiconductor) conductors under bias. This method is mainly used for ballistic conduction but may be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Paulsson

We consider a time-dependent quantum linear oscillator coupled to a bath at an arbitrary strength. We then introduce a generalized Jarzynski equality (GJE) which includes the terms reflecting the system-bath coupling. This enables us to…

Statistical Mechanics · Physics 2014-03-03 Ilki Kim

We show how Jarzynski relation can be exploited to analyze the nature of order-disorder and a bifurcation type dynamical transition in terms of a response function derived on the basis of work distribution over non-equilibrium paths between…

Chemical Physics · Physics 2015-06-05 Pulak Kumar Ghosh , Deb Shankar Ray

The Jarzynski equality equates the mean of the exponential of the negative of the work (per fixed temperature) done by a changing Hamiltonian on a system, initially in thermal equilibrium at that temperature, to the ratio of the final to…

High Energy Physics - Theory · Physics 2012-07-17 Don N. Page

We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action…

Probability · Mathematics 2022-11-14 Angèle Bouley , Claudio Landim

We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described…

Statistical Mechanics · Physics 2007-05-23 A. Imparato , L. Peliti

We consider the steady state of an open system in which there is a flux of matter between two reservoirs at different chemical potentials. For a large system of size $N$, the probability of any macroscopic density profile $\rho(x)$ is…

Statistical Mechanics · Physics 2009-11-07 B. Derrida , J. L. Lebowitz , E. R. Speer

We have considered the underdamped motion of a Brownian particle in the presence of a correlated external random force. The force is modeled by an Ornstein-Uhlenbeck process. We investigate the fluctuations of the work done by the external…

Statistical Mechanics · Physics 2014-11-19 Arnab Pal , Sanjib Sabhapandit

We consider in this paper, a few important issues in non-equilibrium work fluctuations and their relations to equilibrium free energies. First we show that Jarzynski identity can be viewed as a cumulant expansion of work. For a switching…

Statistical Mechanics · Physics 2015-05-20 M Suman Kalyan , G Anjan Prasad , V S S Sastry , K P N Murthy

We show that coupling together two closed thermodynamic systems that independently attain equilibrium may give rise to a nonequilibrium stationary state (NESS) with a persistent, non-vanishing current. We study a simple example that is…

Statistical Mechanics · Physics 2014-01-23 Hernán Larralde , David P. Sanders

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Lechner , Christoph Dellago

We establish the foundations of a nonequilibrium theory of quantum thermodynamics for noninteracting open quantum systems strongly coupled to their reservoirs within the framework of the nonequilibrium Green functions (NEGF). The energy of…

Statistical Mechanics · Physics 2015-03-18 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

The nonequilibrium free energy theorems show how distributions of work along nonequilibrium paths are related to free energy differences between the equilibrium states at the end points of these paths. In this paper we develop a natural way…

Statistical Mechanics · Physics 2011-11-09 Stephen R. Williams , Debra J. Searles , Denis J. Evans

In open quantum systems with strong symmetries, the global scaled cumulant generating function (SCGF) is generally nonanalytic, so the G\"artner-Ellis theorem cannot directly yield the genuine large-deviation rate function. To address this…

Statistical Mechanics · Physics 2026-05-08 Fei Liu , Jiayi Gu , Hailong Wang , Shanhe Su

We present a fundamental classification of forces relevant in nonequilibrium structure formation under collective flow in Brownian many-body systems. The internal one-body force field is systematically split into contributions relevant for…

Soft Condensed Matter · Physics 2020-07-15 Daniel de las Heras , Matthias Schmidt

The work fluctuations of an oscillator in contact with a heat reservoir and driven out of equilibrium by an external force are studied experimentally. The oscillator dynamics is modeled by a Langevin equation. We find both experimentally…

Statistical Mechanics · Physics 2009-11-11 Frederic Douarche , Sergio Ciliberto , Artem Petrosyan