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Related papers: Generalized fluctuation theorems for classical sys…

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We derive the generalized Green-Kubo relation and an integral form of the fluctuation theorem that apply to uniformly sheared granular systems in which microscopic time-reversal symmetry is broken. The former relation provides an exact…

Statistical Mechanics · Physics 2009-06-11 Song-Ho Chong , Michio Otsuki , Hisao Hayakawa

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…

Geophysics · Physics 2023-04-21 Jun Yin , Amilcare Porporato , Lamberto Rondoni

Floquet theory is a powerful tool in the analysis of many physical phenomena, and extended to spatial coordinates provides the basis for Bloch's theorem. However, in its original formulation it is limited to linear systems with periodic…

Dynamical Systems · Mathematics 2013-05-03 Fabio L. Traversa , Massimiliano Di Ventra , Fabrizio Bonani

We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the…

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

The test mass suspensions of cryogenic gravitational-wave detectors such as the KAGRA project are tasked with extracting the heat deposited on the optics. Thus these suspensions have a non-uniform temperature, requiring the calculation of…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Kentaro Komori , Yutaro Enomoto , Hiroki Takeda , Yuta Michimura , Kentaro Somiya , Masaki Ando , Stefan W. Ballmer

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

Fluid Dynamics · Physics 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

A Generalized Kinetic Theory was proposed in order to have the possibility to treat particles which obey a very general statistics. By adopting the same approach, we generalize here the Kinetic Theory of electrons and phonons. Equilibrium…

Mathematical Physics · Physics 2015-06-26 A. Rossani

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. Their general validity arbitrarily far from equilibrium makes them invaluable in nonequilibrium physics. So far, experimental studies of…

Stationary non-equilibrium states describe steady flows through macroscopic systems. Although they represent the simplest generalization of equilibrium states, they exhibit a variety of new phenomena. Within a statistical mechanics…

Statistical Mechanics · Physics 2015-12-18 Lorenzo Bertini , Alberto De Sole , Davide Gabrielli , Giovanni Jona-Lasinio , Claudio Landim

In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work $W_{d} = W-\Delta F$ with general finite-time (like Jarzynski equality and Crooks relation) and infinite-time (like…

Statistical Mechanics · Physics 2019-05-31 A. Mandaiya , I. M. Khaymovich

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

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

Statistical Mechanics · Physics 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

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

We propose an effective field theory describing the time dependent fluctuations of electrons in conducting systems, generalizing the well known kinetic theory of fluctuations. On several examples, we show its equivalence, (when quantum…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , A. D. Mirlin , Yuval Gefen

It has been shown recently that the Jarzynski equality is generalized under nonequilibrium feedback control [T. Sagawa and M. Ueda, Phys. Rev. Lett. {\bf 104}, 090602 (2010)]. The presence of feedback control in physical systems should…

Statistical Mechanics · Physics 2013-05-29 M. Ponmurugan

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work…

Statistical Mechanics · Physics 2021-02-12 Christoph Streißnig , Holger Kantz

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

The total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions, each…

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

It is demonstrated that the "generalized fluctuation-dissipation theorem" [Physica A 106, 443 (1981)] covers the later suggested "fluctuation theorems" and related statistical equalities.

Statistical Mechanics · Physics 2011-06-06 Yu. E. Kuzovlev

Using the initial-value formulation, a dynamic theory for systems evolving according to a Generalized Langevin Equation is developed, providing more restrictive conditions on the existence of equilibrium behavior and its…

Statistical Mechanics · Physics 2024-03-11 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti