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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…

统计力学 · 物理学 2015-05-20 M Suman Kalyan , G Anjan Prasad , V S S Sastry , K P N Murthy

The past two decades witnessed important developments in the field of non-equilibrium statistical mechanics. Among these developments, the Jarzynski equality, being a milestone following the landmark work of Clausius and Kelvin, stands out.…

量子物理 · 物理学 2015-06-22 Shuoming An , Jing-Ning Zhang , Mark Um , Dingshun Lv , Yao Lu , Junhua Zhang , Zhang-qi Yin , H. T. Quan , Kihwan Kim

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.…

统计力学 · 物理学 2015-05-13 Eric N. Zimanyi , Robert J. Silbey

Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such…

量子物理 · 物理学 2020-02-21 Paul Boes , Rodrigo Gallego , Nelly H. Y. Ng , Jens Eisert , Henrik Wilming

We show that the conventional Jarzynski equality does not hold for a system prepared in a microcanonical ensemble. We derive a modified equality that connects microcanonical work fluctuations to entropy production, in an analogous way to…

统计力学 · 物理学 2025-01-15 L. A. Williamson

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…

统计力学 · 物理学 2007-05-23 Takahiro Hatano

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

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

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

The Jarzynski equality (JE) is known as an exact identity for nonequillibrium systems. The JE was originally formulated for isolated and isothermal systems, while Adib reported an JE extended to an isoenergetic process. In this paper, we…

统计力学 · 物理学 2015-05-27 Hitoshi Katsuda , Masayuki Ohzeki

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

Recent progress on micro- and nanometer scale manipulation has opened the possibility to probe systems small enough that thermal fluctuations of energy and coordinate variables can be significant compared with their mean behavior. We…

介观与纳米尺度物理 · 物理学 2012-11-02 O. -P. Saira , Y. Yoon , T. Tanttu , M. Möttönen , D. V. Averin , J. P. Pekola

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

生物物理 · 物理学 2011-05-24 Van Ngo

We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes from the perspective of stochastic thermodynamics. By introducing a stochastic differential equation, we describe the evolution of the…

统计力学 · 物理学 2026-05-19 Zhaoyu Fei , Yu-Han Ma

Here we investigate the impact of temporal entanglement on a system's ability to perform thermodynamical work. We show that while the quantum version of the Jarzynski equality remains satisfied even in the presence of temporal entanglement,…

量子物理 · 物理学 2012-04-26 Vlatko Vedral

We derive exact fluctuation equalities for open systems that recover free energy differences between two equilibrium endpoints connected by nonequilibrium processes with arbitrary dynamics and coupling. The exponential of the free energy…

统计力学 · 物理学 2025-12-15 Mohammad Rahbar , Christopher J. Stein

In a recent work, Jarzynski and Wojcik (2004 Phys. Rev. Lett. 92, 230602) have shown by using the properties of Hamiltonian dynamics and a statistical mechanical consideration that, through contact, heat exchange between two systems…

统计力学 · 物理学 2008-05-29 Yuki Sughiyama , Sumiyoshi Abe

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

统计力学 · 物理学 2015-05-13 Takahiro Sagawa , Masahito Ueda

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

统计力学 · 物理学 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

统计力学 · 物理学 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi