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Related papers: A simple proof of the Jarzynski equality?

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In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum…

Quantum Physics · Physics 2020-08-10 Akira Sone , Yi-Xiang Liu , Paola Cappellaro

Many studies of quantum-size heat engines assume that the dynamics of an internal system is unitary and that the extracted work is equal to the energy loss of the internal system. Both assumptions, however, should be under scrutiny. In the…

Statistical Mechanics · Physics 2017-04-05 Yohei Morikuni , Hiroyasu Tajima , Naomichi Hatano

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

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…

Statistical Mechanics · Physics 2017-10-18 Juan D. Jaramillo , Jiawen Deng , Jiangbin Gong

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…

Mesoscale and Nanoscale Physics · Physics 2012-11-02 O. -P. Saira , Y. Yoon , T. Tanttu , M. Möttönen , D. V. Averin , J. P. Pekola

We illustrate the Jarzynski equality on the exactly solvable model of a one-dimensional ideal gas in uniform expansion or compression. The analytical results for the probability density $P(W)$ of the work $W$ performed by the gas are…

Statistical Mechanics · Physics 2009-11-11 I. Bena , C. Van den Broeck , R. Kawai

A fluctuation relation, which is an extended form of the Jarzynski equality, is introduced and discussed. We show how to apply this relation in order to evaluate the free energy landscape of simple systems. These systems are manipulated by…

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

We extend Jarzynski's work relation and the second law of thermodynamics to a heat conducting system which is operated by an external agent. These extensions contain a new non equilibrium contribution expressed as the violation of the…

Statistical Mechanics · Physics 2012-09-25 Naoko Nakagawa

Recent developments in statistical mechanics have allowed the estimation of equilibrium free energies from the statistics of work measurements during processes that drive the system out of equilibrium. Here a different class of processes is…

Statistical Mechanics · Physics 2009-11-11 Artur B. Adib

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

The free-energy difference $\Delta F$ between two high-dimensional systems is notoriously difficult to compute, but very important for many applications, such as drug discovery. We demonstrate that an unconventional definition of work…

Soft Condensed Matter · Physics 2024-10-24 Adrianne Zhong , Benjamin Kuznets-Speck , Michael R. DeWeese

We study out-of equilibrium properties of a quantum dot in a GaAs/AlGaAs two-dimensional electron gas. By means of single electron counting experiments, we measure the distribution of work and dissipated heat of the driven quantum dot and…

We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that,…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

Work is a process-based quantity, and its measurement typically requires interaction with a measuring device multiple times. While classical systems allow for non-invasive and accurate measurements, quantum systems present unique challenges…

Quantum Physics · Physics 2025-06-17 Giulia Rubino , Karen V. Hovhannisyan , Paul Skrzypczyk

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…

Quantum Physics · Physics 2023-04-20 Akira Sone , Naoki Yamamoto , Tharon Holdsworth , Prineha Narang

We show that the Comment [arXiv:0808.1224] by Horowitz and Jarzynski obtains as a main result a general free energy change for a harmonic system that in the macroscopic limit does not recover the textbook expression for the energy change of…

Statistical Mechanics · Physics 2008-08-26 J. M. G. Vilar , J. M. Rubi

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

Statistical Mechanics · Physics 2025-08-11 D. M. Naplekov , V. V. Yanovsky

We show that the system entropy change for the transitions between non-equilibrium steady states arbitrarily far from equilibrium for any constituting process is given by the relative entropy of the distributions of these steady states.…

Statistical Mechanics · Physics 2012-05-29 G. Baris Bagci , Ugur Tirnakli , Juergen Kurths

It has recently been shown that the Helmholtz free energy difference between two equilibrium configurations of a system may be obtained from an ensemble of finite-time (nonequilibrium) measurements of the work performed in switching an…

Statistical Mechanics · Physics 2009-10-30 C. Jarzynski

The estimate of free energy changes based on Bennett's acceptance ratio method is examined in several limiting cases and compared with other estimates based on the Jarzynski equality and on the Crooks relation. While the absolute amount of…

Statistical Mechanics · Physics 2015-06-12 Seongjin Kim , Yong Woon Kim , Peter Talkner , Juyeon Yi
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