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The excess free energy of a molecular cluster is a key quantity in models of the nucleation of droplets from a metastable vapour phase; it is often viewed as the free energy arising from the presence of an interface between the two phases.…

Statistical Mechanics · Physics 2015-05-25 Hoi Yu Tang , Ian J. Ford

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…

Statistical Mechanics · Physics 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

We obtain the Crooks and the Jarzynski non-equilibrium fluctuation relations using a direct quantum-mechanical approach for a finite system that is either isolated or coupled not too strongly to a heat bath. These results were hitherto…

Statistical Mechanics · Physics 2012-07-11 Doron Cohen , Yoseph Imry

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi

Recent advances in experimental techniques allow one to measure and control systems at the level of single molecules and atoms. Here gaining information about fluctuating thermodynamic quantities is crucial for understanding nonequilibrium…

Statistical Mechanics · Physics 2019-05-01 Ken Funo , Masahito Ueda , Takahiro Sagawa

We derive the nonequilibrium transient state work fluctuation theorem and also the Jarzynski equality for a classical harmonic oscillator linearly coupled to a harmonic heat bath, which is dragged by an external agent. Coupling with the…

Statistical Mechanics · Physics 2012-07-09 Rajarshi Chakrabarti

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

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 Theorem and the Jarzynski equality are examined in the light of recent experimental tests. For a particle dragged through a solvent, it is shown that $Q,$ the heat exchanged with the reservoir, obeys the asymptotic…

Statistical Mechanics · Physics 2009-11-10 Onuttom Narayan , Abhishek Dhar

Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

Statistical Mechanics · Physics 2024-01-12 Bao-Ming Xu

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

Quantum Physics · Physics 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

We develop a resource-theoretic framework that allows one to bridge the gap between two approaches to quantum thermodynamics based on Markovian thermal processes (which model memoryless dynamics) and thermal operations (which model…

Quantum Physics · Physics 2023-10-10 Jakub Czartowski , A. de Oliveira Junior , Kamil Korzekwa

Out of thermal equilibrium, an environment imposes effective mechanical forces on microscopical nanofabricated devices, chemical or biological systems. Here we address the question of how to calculate these forces together with the response…

Statistical Mechanics · Physics 2017-05-24 A. Feigel

In this paper we develop a generalized formalism for equilibrium thermodynamic systems when an information is shared between the system and the reservoir. The information results in a correction to the entropy of the system. This extension…

Statistical Mechanics · Physics 2013-05-10 Alessio Gagliardi , Aldo Di Carlo

Generalized measurements of an observable performed on a quantum system during a force protocol are investigated and conditions that guarantee the validity of the Jarzynski equality and the Crooks relation are formulated. In agreement with…

Statistical Mechanics · Physics 2014-03-14 Gentaro Watanabe , B. Prasanna Venkatesh , Peter Talkner , Michele Campisi , Peter Hänggi

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

Free energy differences are a central quantity of interest in physics, chemistry, and biology. We develop design principles that improve the precision and accuracy of free energy estimators, which has potential applications to screening for…

Statistical Mechanics · Physics 2021-01-05 Steven Blaber , David A. Sivak

Fluctuation theorems provide universal constraints on nonequilibrium energy and entropy fluctuations, making them a natural framework to assess how and to what extent quantum resources become thermodynamically relevant. We develop a unified…

Quantum Physics · Physics 2025-12-19 Sukrut Mondkar , Sayan Mondal , Ujjwal Sen

We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described…

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

The equilibrium free energy landscape of an off-lattice model protein as a function of an internal (reaction) coordinate is reconstructed from out-of-equilibrium mechanical unfolding manipulations. This task is accomplished via two…

Statistical Mechanics · Physics 2007-10-17 Alberto Imparato , Stefano Luccioli , Alessandro Torcini
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