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The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

Quantum Physics · Physics 2025-08-21 Konstantin Beyer , Walter T. Strunz

The probability densities of work that can be exerted on a quantum system initially staying in thermal equilibrium are constrained by the fluctuation relations of Jarzynski and Crooks, when the work is determined by two projective energy…

Quantum Physics · Physics 2019-03-20 Kosuke Ito , Peter Talkner , B. Prasanna Venkatesh , Gentaro Watanabe

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

Statistical Mechanics · Physics 2022-12-07 Deepak Gupta , Carlos A. Plata

An open question of fundamental importance in thermodynamics is how to describe the fluctuations of work for quantum coherent processes. In the standard approach, based on a projective energy measurement both at the beginning and at the end…

Firstly the fluctuation theorems (FT) for expended work in a driven nonequilibrium system, isolated or thermostatted, together with the ensuing Jarzynski work-energy (W-E) relationships, will be discussed and reobtained. Secondly, the…

Statistical Mechanics · Physics 2016-10-31 Carolyne M. Van Vliet

The Fluctuation Relation (FR) is an asymptotic result on the distribution of certain observables averaged over time intervals T as T goes to infinity and it is a generalization of the fluctuation--dissipation theorem to far from equilibrium…

Statistical Mechanics · Physics 2009-11-10 A. Giuliani , F. Zamponi , G. Gallavotti

The validity of the Fluctuation Relations (FR) for systems in a constant magnetic field is investigated. Recently introduced time-reversal symmetries that hold in presence of static electric and magnetic fields and of deterministic…

Statistical Mechanics · Physics 2020-09-16 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

Starting from a microscopic approach and using the formalism of quantum Brownian motion, partition function of a system composed of two separated pieces of anisotropic matter and a fluctuating medium in finite temperature is obtained…

Quantum Physics · Physics 2018-06-15 Fardin Kheirandish

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

Statistical Mechanics · Physics 2007-08-02 R. J. Harris , G. M. Schütz

We discuss the microscopic definition of entropy production rate in a model of a dissipative system: a sheared fluid in which the kinetic energy is kept constant via a Gaussian thermostat. The total phase space contraction rate is the sum…

Statistical Mechanics · Physics 2009-11-10 F. Zamponi , G. Ruocco , L. Angelani

D.J. Evans, et al., [Phys. Rev. Lett. 71, 2401 (1993)] discovered a relation, subsequently known as the Fluctuation Theorem (FT), which quantifies the probability of observing fluctuations violating the second law of thermodynamics in…

Statistical Mechanics · Physics 2017-05-19 A. Y. Gorobets , J. M. Borrero , S. Berdyugina

The fluctuation theorem for entropy production is a remarkable symmetry of the distribution of produced entropy that holds universally in non-equilibrium steady states with Markovian dynamics. However, in systems with slow degrees of…

Statistical Mechanics · Physics 2018-02-21 Matthias Uhl , Patrick Pietzonka , Udo Seifert

We consider work fluctuation relations (FRs) for generic types of dynamics generating anomalous diffusion: Levy flights, long-correlated Gaussian processes and time-fractional kinetics. By combining Langevin and kinetic approaches we…

Statistical Mechanics · Physics 2009-03-24 A. V. Chechkin , R. Klages

We study a system of 1D noninteracting spinless fermions in a confining trap at finite temperature. We first derive a useful and general relation for the fluctuations of the occupation numbers valid for arbitrary confining trap, as well as…

Statistical Mechanics · Physics 2018-04-16 Aurélien Grabsch , Satya N. Majumdar , Grégory Schehr , Christophe Texier

The validity of the fluctuation theorem for entropy production as deduced from the observation of trajectories implicitly requires that all slow degrees of freedom are accessible. We experimentally investigate the role of hidden slow…

Soft Condensed Matter · Physics 2012-06-11 Jakob Mehl , Boris Lander , Clemens Bechinger , Valentin Blickle , Udo Seifert

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

Statistical Mechanics · Physics 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

A possible way to extract information about the reversible dissociation of a molecular adhesion bond from force fluctuations observed in force ramp experiments is discussed. For small loading rates the system undergoes a limited number of…

Statistical Mechanics · Physics 2015-06-18 Gregor Diezemann

The work is a concept of fundamental importance in thermodynamics. An open question is how to describe the work fluctuation for quantum coherent processes in the presence of initial quantum coherence in the energy basis. With the aim of…

Quantum Physics · Physics 2022-01-05 Gianluca Francica

We study work extraction processes mediated by finite-time interactions with an ambient bath -- \emph{partial thermalizations} -- as continuous time Markov processes for two-level systems. Such a stochastic process results in fluctuations…

Statistical Mechanics · Physics 2021-05-05 Maria Quadeer , Kamil Korzekwa , Marco Tomamichel

Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact…

Statistical Mechanics · Physics 2026-02-23 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito