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Related papers: Applications of Jarzynski's relation in lattice ga…

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Jarzynski's theorem is a well-known equality in statistical mechanics, which relates fluctuations in the work performed during a non-equilibrium transformation of a system, to the free-energy difference between two equilibrium ensembles. In…

High Energy Physics - Lattice · Physics 2016-08-16 Michele Caselle , Gianluca Costagliola , Alessandro Nada , Marco Panero , Arianna Toniato

Jarzynski's equality provides an elegant and powerful tool to directly compute differences in free energy in Monte Carlo simulations and it can be readily extended to lattice gauge theories to compute a large set of physically interesting…

High Energy Physics - Lattice · Physics 2018-04-18 Alessandro Nada , Michele Caselle , Marco Panero

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

Statistical Mechanics · Physics 2026-01-06 Dani R. Castellanos , Petr Jizba

A precise lattice determination of the equation of state in SU(3) Yang-Mills theory is carried out by means of a simulation algorithm, based on Jarzynski's theorem, that allows one to compute physical quantities in thermodynamic…

High Energy Physics - Lattice · Physics 2018-09-24 Michele Caselle , Alessandro Nada , Marco Panero

We study the applications of non-equilibrium relations such as the Jarzynski equality and fluctuation theorem to spin glasses with gauge symmetry. It is shown that the exponentiated free-energy difference appearing in the Jarzynski equality…

Disordered Systems and Neural Networks · Physics 2010-07-27 Masayuki Ohzeki , Hidetoshi Nishimori

In this paper, we study Jarzynski's equality and fluctuation theorems for diffusion processes. While some of the results considered in the current work are known in the (mainly physics) literature, we review and generalize these…

Mathematical Physics · Physics 2019-04-09 Carsten Hartmann , Christof Schuette , Wei Zhang

The Jarzynski Equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible paths to go from one state to the other. We claim that the derivation of this equality is…

Statistical Mechanics · Physics 2009-11-10 E. G. D. Cohen , David Mauzerall

We use third constraint formulation of Tsallis statistics and derive the $q$-statistics generalization of non-equilibrium work relations such as the Jarzynski equality and the Crooks fluctuation theorem which relate the free energy…

Statistical Mechanics · Physics 2016-03-23 M. Ponmurugan

The fluctuation theorems, and in particular, the Jarzynski equality, are the most important pillars of modern non-equilibrium statistical mechanics. We extend the quantum Jarzynski equality together with the Two-Time Measurement Formalism…

Statistical Mechanics · Physics 2018-03-01 Anthony Bartolotta , Sebastian Deffner

Jarzynski equality [Phys. Rev. E {\bf 56}, 5018 (1997)] is found to be valid with slight modefication for the transitions between nonequilibrium stationary states, as well as the one between equilibrium states. Also numerical results…

Statistical Mechanics · Physics 2007-05-23 Takahiro Hatano

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

Statistical Mechanics · Physics 2025-05-13 Stephen Whitelam

The connection between work and changes in the Hamiltonian for a system with a time-dependent Hamiltonian has recently been called into question, casting doubt on the usefulness of the Jarzynski equality for calculating free energy changes.…

Statistical Mechanics · Physics 2015-05-13 Eric N. Zimanyi , Robert J. Silbey

The Jarzynski relation is a recently discovered result relating the average exponential of the work done under nonequilibrium conditions to an equilibrium free energy difference. We illustrate this remarkable relation by considering the…

Statistical Mechanics · Physics 2007-05-23 Rhonald C. Lua

We have experimentally checked the Jarzynski equality and the Crooks relation on the thermal fluctuations of a macroscopic mechanical oscillator in contact with a heat reservoir. We found that, independently of the time scale and amplitude…

Statistical Mechanics · Physics 2009-11-11 F. Douarche , S. Ciliberto , A. Petrosyan , I. Rabbiosi

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

In the global framework of finding an axiomatic derivation of nonequilibrium Statistical Mechanics from fundamental principles, such as the maximum path entropy -- also known as Maximum Caliber principle -- , this work proposes an…

Statistical Mechanics · Physics 2017-06-28 Diego González , Sergio Davis

The nonequilibrium work relation, or Jarzynski equality, establishes a statistical relationship between a series of nonequilibrium experiments on a system subjected to thermal fluctuations and a hypothetical experiment at thermodynamic…

Statistical Mechanics · Physics 2024-11-19 Jean-Luc Garden

The Jarzynski equality relates the free energy difference between two equilibrium states to the fluctuating irreversible work afforded to switch between them. The prescribed fixed temperature for the equilibrium states implicitly constrains…

Statistical Mechanics · Physics 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

The relation between the distribution of work performed on a classical system by an external force switched on an arbitrary timescale, and the corresponding equilibrium free energy difference, is generalized to quantum systems. Using the…

Statistical Mechanics · Physics 2007-05-23 Shaul Mukamel

The Jarzynski equality is one of the most influential results in the field of non equilibrium statistical mechanics. This celebrated equality allows to calculate equilibrium free energy differences from work distributions of nonequilibrium…

Statistical Mechanics · Physics 2017-09-13 Shahaf Asban , Saar Rahav
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