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We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

The description of nonequilibrium processes in nano-sized objects, where the typical energies involved are a few times, is increasingly becoming central to disciplines as diverse as condensed-matter physics, materials science, and…

Statistical Mechanics · Physics 2009-11-11 D. Collin , F. Ritort , C. Jarzynski , S. B. Smith , I. Tinoco , C. Bustamante

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

Thermodynamic uncertainty principles make up one of the few rare anchors in the largely uncharted waters of nonequilibrium systems, the fluctuation theorems being the more familiar. In this work we aim to trace the uncertainties of…

Statistical Mechanics · Physics 2022-08-02 Hang Dong , Daniel Reiche , Jen-Tsung Hsiang , Bei-Lok Hu

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

Statistical Mechanics · Physics 2015-06-05 Takahiro Sagawa , Masahito Ueda

The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipaton-equation-of-motion theory, we develop an exact method to…

Statistical Mechanics · Physics 2022-08-11 Hong Gong , Yao Wang , Xiao Zheng , Rui-Xue Xu , YiJing Yan

The fluctuation theorem is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations, such as the second law of thermodynamics and the Jarzynski equality. Recently, the…

Statistical Mechanics · Physics 2019-09-16 Yoshihiko Hasegawa , Tan Van Vu

Fluctuation theorems, such as the Jarzynski equality and the Crooks relation, are effective tools connecting non-equilibrium work statistics and equilibrium free energy differences. However, detailed hands-on, reproducible protocols for…

The work content of non-equilibrium systems in relation to a heat bath is often analyzed in terms of expectation values of an underlying random work variable. However, we show that when optimizing the expectation value of the extracted…

Quantum Physics · Physics 2015-03-19 Johan Aberg

Structure-forming systems are ubiquitous in nature, ranging from atoms building molecules to self-assembly of colloidal amphibolic particles. The understanding of the underlying thermodynamics of such systems remains an important problem.…

Statistical Mechanics · Physics 2021-02-26 Jan Korbel , Simon David Lindner , Rudolf Hanel , Stefan Thurner

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

Statistical Mechanics · Physics 2021-03-31 Junjie Liu , Dvira Segal

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

There has been great interest in applying the results of statistical mechanics to single molecule experiements. Recent work has highlighted so-called non-equilibrium work-energy relations and Fluctuation Theorems which take on an…

Soft Condensed Matter · Physics 2015-06-25 R. Dean Astumian

The work fluctuations of an oscillator in contact with a heat reservoir and driven out of equilibrium by an external force are studied experimentally. The oscillator dynamics is modeled by a Langevin equation. We find both experimentally…

Statistical Mechanics · Physics 2009-11-11 Frederic Douarche , Sergio Ciliberto , Artem Petrosyan

The housekeeping heat $Q\hk$ is the dissipated heat necessary to maintain the violation of detailed balance in nonequilibrium steady states. By analyzing the evolution of its probability distribution, we prove an integral fluctuation…

Statistical Mechanics · Physics 2007-05-23 T. Speck , U. Seifert

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Shaul Mukamel

Determining the work which is supplied to a system by an external agent, provides a crucial step in any experimental realization of transient fluctuation relations. This, however, poses a problem for quantum systems, where the standard…

Statistical Mechanics · Physics 2014-05-15 Gentaro Watanabe , B. Prasanna Venkatesh , Peter Talkner

Fluctuation relations allow for the computation of equilibrium properties, like free energy, from an ensemble of non-equilibrium dynamics simulations. Computing them for quantum systems, however, can be difficult, as performing dynamic…

Quantum Physics · Physics 2021-09-07 Lindsay Bassman , Katherine Klymko , Diyi Liu , Norman M. Tubman , Wibe A. de Jong

We study the notion of work fluctuations in quantum field theory, highlighting that the most common definitions used in finite-dimensional quantum systems cannot be applied to quantum field theory (QFT). Then we propose work distributions…

Quantum Physics · Physics 2020-11-20 Adam Teixidó-Bonfill , Alvaro Ortega , Eduardo Martín-Martínez

Research on the out-of-equilibrium dynamics of quantum systems has so far produced important statements on the thermodynamics of small systems undergoing quantum mechanical evolutions. Key examples are provided by the Crooks and Jarzynski…

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