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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…

统计力学 · 物理学 2007-05-23 Rhonald C. Lua

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

量子物理 · 物理学 2012-09-21 Van A. Ngo , Stephan Haas

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…

高能物理 - 格点 · 物理学 2016-08-16 Michele Caselle , Gianluca Costagliola , Alessandro Nada , Marco Panero , Arianna Toniato

In this note, we will discuss how to compactly express and prove the Jarzynski identity for an open quantum system with dissipative dynamics. We will avoid explicitly measuring the work directly, which is tantamount to continuously…

统计力学 · 物理学 2008-11-07 Gavin E. Crooks

We extend the Jarzynski equality, which is an exact identity between the equilibrium and nonequilibrium averages, to be useful to compute the value of the entropy difference by changing the Hamiltonian. To derive our result, we introduce…

统计力学 · 物理学 2011-03-24 Hitoshi Katsuda , Masayuki Ohzeki

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…

统计力学 · 物理学 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

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…

量子物理 · 物理学 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

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…

统计力学 · 物理学 2017-06-28 Diego González , Sergio Davis

In this short communication, I give a very simple derivation of the Jarzynski equality, which allows to compute the free energy difference of a body, which is driven between two equilibrium states $A$ and $B$ by an external (time-dependent)…

统计力学 · 物理学 2016-08-16 Frédéric Douarche

A result of great theoretical and experimental interest, Jarzynski equality predicts a free energy change $\Delta F$ of a system at inverse temperature $\beta$ from an ensemble average of non-equilibrium exponential work, i.e., $\langle…

统计力学 · 物理学 2017-10-18 Juan D. Jaramillo , Jiawen Deng , Jiangbin Gong

The two-time measurement scheme is well studied in the context of quantum fluctuation theorem. However, it becomes infeasible when the random variable determined by a single measurement trajectory is associated with the von-Neumann entropy…

量子物理 · 物理学 2023-04-20 Akira Sone , Naoki Yamamoto , Tharon Holdsworth , Prineha Narang

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

统计力学 · 物理学 2014-04-22 T. G. Philbin , J. Anders

The imaginary-time path integral representation of the canonical partition function of a quantum system and non-equilibrium work fluctuation relations are combined to yield methods for computing free energy differences in quantum systems…

Jarzynski's identity for the free energy difference between two equilibrium states can be viewed as a special case of a more general procedure based on phase space mappings. Solving a system's equation of motion by approximate means…

统计力学 · 物理学 2009-11-11 Wolfgang Lechner , Harald Oberhofer , Christoph Dellago , Phillip L. Geissler

The Jarzynski equality (JE) is analyzed in regard to its validity for both quasi-static transformations in the thermodynamic limit and Hamiltonian evolutions of the work protocol. In the first case, we show that the JE holds for isothermal…

统计力学 · 物理学 2020-05-15 Amilcare Porporato , Salvatore Calabrese

The distribution of work done on a quantum system by instantaneously changing the Hamiltonian is shown to satisfy the Jarzynski identity.

统计力学 · 物理学 2007-05-23 Shaul Mukamel

The transition between a regime in which thermodynamic relations apply only to ensembles of small systems coupled to a large environment and a regime in which they can be used to characterize individual macroscopic systems is analyzed in…

统计力学 · 物理学 2015-05-30 Alberto Suárez , Robert Silbey , Irwin Oppenheim

The computation of free energy differences through an exponential weighting of out of equilibrium paths (known as the Jarzynski equality) is often used for transitions between states described by an external parameter $\lambda$ in the…

统计力学 · 物理学 2015-06-25 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

We propose a method to evaluate general thermodynamic fluctuations in open quantum systems, based on performing a two-point measurement scheme on the system using dynamics-dependent thermodynamic observables. Our approach allows one to…

量子物理 · 物理学 2026-04-30 Alessandra Colla , Andrea Smirne , Heinz-Peter Breuer , Bassano Vacchini

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…

量子物理 · 物理学 2021-09-07 Lindsay Bassman , Katherine Klymko , Diyi Liu , Norman M. Tubman , Wibe A. de Jong