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We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

统计力学 · 物理学 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

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…

统计力学 · 物理学 2017-05-19 A. Y. Gorobets , J. M. Borrero , S. Berdyugina

Thermodynamics allows the application of Statistical Mechanics to finite and even small systems. As surface effects cannot be scaled away, one has to be careful with the standard arguments of splitting a system into two or bringing two…

统计力学 · 物理学 2007-05-23 D. H. E. Gross

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

Miniaturized heat engines constitutes a fascinating field of current research. They are being studied theoretically as well as experimentally, with experiments involving colloidal particles and harmonic traps and even bacterial baths acting…

统计力学 · 物理学 2017-07-04 Debarshi Basu , Joydip Nandi , A. M. Jayannavar , Rahul Marathe

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

统计力学 · 物理学 2018-08-01 Deepak Gupta

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

统计力学 · 物理学 2014-11-17 Andre C. Barato , Udo Seifert

The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is shown that the new presentation is more appropriate for the…

统计力学 · 物理学 2015-06-05 R. Tsekov

The second law of thermodynamics posits that in closed macroscopic systems the rate of entropy production must be positive. However, small systems can exhibit negative entropy production over short timescales, seemingly in contradiction…

量子气体 · 物理学 2023-08-08 Rama Sharma , Tapio P. Simula , Andrew J. Groszek

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and…

统计力学 · 物理学 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

Statistical mechanics descriptions of the second law of thermodynamics generally imply point-like particles driven by a dissipative overall mechanism for their simultaneous time-evolution. As the number of involved particles grows larger,…

综合物理 · 物理学 2016-02-16 Hans R. Moser

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy…

统计力学 · 物理学 2026-03-31 Jean-Luc Garden

Examples of self propulsion in strongly fluctuating environment is abound in nature, e.g., molecular motors and pumps operating in living cells. Starting from Langevin equation of motion, we develop a fluctuating thermodynamic description…

统计力学 · 物理学 2015-02-20 Chandrima Ganguly , Debasish Chaudhuri

We introduce a finite-time detailed fluctuation theorem for the environmental entropy of the form $\tilde P(\Delta S_{env}) = e^{\Delta S_{env}} \tilde P(-\Delta S_{env})$ for an appropriately weighted probability density of the external…

统计力学 · 物理学 2013-04-22 David Luposchainsky , Andre Cardoso Barato , Haye Hinrichsen

We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction…

统计力学 · 物理学 2024-02-22 Mingnan Ding , Jun Wu , Xiangjun Xing

We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distribution. We show that if we require the second law to hold when…

统计力学 · 物理学 2021-05-26 Jan Korbel , David H. Wolpert

Concepts of everyday use like energy, heat, and temperature have acquired a precise meaning after the development of thermodynamics. Thermodynamics provides the basis for understanding how heat and work are related and with the general…

统计力学 · 物理学 2007-05-23 D. Reguera , J. M. Rubi , J. M. G. Vilar

Quantum-Induced Stochastic Dynamics arises from the coupling between a classical system and a quantum environment. Unlike standard thermal reservoirs, this environment acts as a dynamic bath, capable of simultaneously exchanging heat and…

统计力学 · 物理学 2026-02-12 Pedro V. Paraguassú

A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes…

介观与纳米尺度物理 · 物理学 2015-10-28 Michail Tzoufras , Gregory J. Parker , Michael K. Grobis