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Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at first. It is shown that its derivation…

chao-dyn · 物理学 2008-02-03 J. Kumicak , X. de Hemptinne

While the warming trends of the Earth's mean temperature are evident at climatological scales, the local temperature at shorter timescales are highly fluctuating. In this letter we show that the probabilities of such fluctuations are…

地球物理 · 物理学 2023-04-21 Jun Yin , Amilcare Porporato , Lamberto Rondoni

Subcritical transition of an inhomogeneous plasma where turbulences with different characteristic space-time scales coexist is analyzed with methods of statistical physics of turbulences. We derived the development equations of the…

等离子体物理 · 物理学 2007-05-23 Mitsuhiro Kawasaki , Sanae-I. Itoh , Kimitaka Itoh

How is it that entropy derivatives almost in their own are characterizing the state of a system close to equilibrium, and what happens further away from it? We explain within the framework of Markov jump processes why fluctuation theory can…

统计力学 · 物理学 2009-08-24 Christian Maes , Karel Netočný , Bram Wynants

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

量子物理 · 物理学 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

A well-known stochastic model for intermittent fluctuations in physical systems is investigated. The model is given by a super-position of uncorrelated exponential pulses, and the degree of pulse overlap is interpreted as an intermittency…

等离子体物理 · 物理学 2018-01-17 Audun Theodorsen , Odd Erik Garcia

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

统计力学 · 物理学 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

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

The Fluctuation Theorems are a group of exact relations that remain valid irrespective of how far the system has been driven away from equilibrium. Other than having practical applications, like determination of equilibrium free energy…

统计力学 · 物理学 2016-11-04 Sourabh Lahiri , A. M. Jayannavar

In this paper we elaborate on the recently proposed superstatistics formalism [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)], used to interpret unconventional statistics. Their interpretation is that unconventional statistics in…

统计力学 · 物理学 2007-05-23 F. Sattin

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

Recently there has been some progress in modeling the statistical properties of turbulent flows using simple superstatistical models. Here we briefly review the concept of superstatistics in turbulence. In particular, we discuss a…

流体动力学 · 物理学 2007-05-23 Christian Beck

Fluctuation theorems play a central role in nonequilibrium physics and stochastic thermodynamics. Here we derive an integral fluctuation theorem for the dissipated heat in systems governed by an underdamped Langevin dynamics. We show that…

统计力学 · 物理学 2016-02-17 M. L. Rosinberg , G. Tarjus , T. Munakata

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

统计力学 · 物理学 2026-05-06 Jiming Zheng , Zhiyue Lu

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

统计力学 · 物理学 2015-06-25 David Andrieux , Pierre Gaspard

When dealing with certain kind of complex phenomena the theoretician may face some difficulties -- typically a failure to have access to information for properly characterize the system -- for applying the full power of the standard…

统计力学 · 物理学 2007-05-23 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

Some general considerations on the notion of entropy in physics are presented. An attempt is made to clarify the question of the differentiation between physical entropy (the Clausius-Boltzmann one) and quantities called entropies…

统计力学 · 物理学 2007-05-23 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

We show that the total entropy production in stochastic processes with odd-parity variables (under time reversal) is separated into three parts, only two of which satisfy the integral fluctuation theorems in general. One is the usual excess…

统计力学 · 物理学 2015-06-11 Hyun Keun Lee , Chulan Kwon , Hyunggyu Park

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

量子物理 · 物理学 2018-02-13 Johan Aberg