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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…

统计力学 · 物理学 2016-04-27 Dibyendu Mandal , Michael R. DeWeese

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…

统计力学 · 物理学 2025-05-13 Stephen Whitelam

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…

数学物理 · 物理学 2019-04-09 Carsten Hartmann , Christof Schuette , Wei Zhang

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…

统计力学 · 物理学 2024-11-19 Jean-Luc Garden

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…

统计力学 · 物理学 2026-01-06 Dani R. Castellanos , Petr Jizba

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

统计力学 · 物理学 2021-03-29 Geng Li , Z. C. Tu

From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in…

量子物理 · 物理学 2019-11-05 Tiago Debarba , Gonzalo Manzano , Yelena Guryanova , Marcus Huber , Nicolai Friis

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…

统计力学 · 物理学 2016-03-23 M. Ponmurugan

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…

统计力学 · 物理学 2009-11-10 E. G. D. Cohen , David Mauzerall

The Jarzynski equality and the fluctuation theorem relate equilibrium free energy differences to non-equilibrium measurements of the work. These relations extend to single-molecule experiments that have probed the finite-time thermodynamics…

统计力学 · 物理学 2008-08-30 Paul Maragakis , Felix Ritort , Carlos Bustamante , Martin Karplus , Gavin E. Crooks

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…

统计力学 · 物理学 2007-05-23 Wolfgang Lechner , Christoph Dellago

This is a brief review of recently derived relations describing the behaviour of systems far from equilibrium. They include the Fluctuation Theorem, Jarzynski's and Crooks' equalities, and an extended form of the Second Principle for…

统计力学 · 物理学 2009-11-11 Jorge Kurchan

Recent theoretical predictions and experimental measurements have demonstrated that equilibrium free energy differences can be obtained from exponential averages of nonequilibrium work values. These results are similar in structure, but not…

统计力学 · 物理学 2009-11-11 Christopher Jarzynski

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…

统计力学 · 物理学 2017-09-13 Shahaf Asban , Saar Rahav

The theory of phenomenological Non-equilibrium Thermodynamics is extended by includimg stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski equality. Four phenomenological axioms are…

混沌动力学 · 物理学 2016-07-20 Wolfgang Muschik

Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the…

统计力学 · 物理学 2015-04-24 Ying Tang , Ruoshi Yuan , Jianhong Chen , Ping Ao

It has been shown recently that the Jarzynski equality is generalized under nonequilibrium feedback control [T. Sagawa and M. Ueda, Phys. Rev. Lett. {\bf 104}, 090602 (2010)]. The presence of feedback control in physical systems should…

统计力学 · 物理学 2013-05-29 M. Ponmurugan

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…

统计力学 · 物理学 2009-10-28 C. Jarzynski

The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression…

统计力学 · 物理学 2009-11-13 Peter Talkner , Eric Lutz , Peter Hanggi

Using methods of phenomenological non-equilibrium thermodynamics, the proof is performed that Jarzynski's equality is only valid in the reversible limit and that a conclusion to non-equilibrium inequalities concerning free energy and work…

数学物理 · 物理学 2013-07-02 Wolfgang Muschik
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