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Related papers: Fluctuation Relations in Stochastic Thermodynamics

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In this review, we systematically examine the principles and the practices of fluctuations such as the momentum and the charge fluctuations as applied to the heavy ion collisions. Main emphases are: (i) Fluctuations as signals of phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sangyong Jeon , Volker Koch

We prove the Jarzynski relation for general stochastic processes including non-Markovian systems with memory. The only requirement for our proof is the existence of a stationary state, therefore excluding non-ergodic systems. We then show…

Statistical Mechanics · Physics 2007-09-27 Thomas Speck , Udo Seifert

For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized…

Statistical Mechanics · Physics 2012-07-11 Bartlomiej Dybiec , Juan M. R. Parrondo , Ewa Gudowska-Nowak

Thermodynamic Uncertainty Relations (TURs) are relations that establish lower bounds for the relative fluctuations of thermodynamic quantities in terms of the statistics of the associated entropy production. In this work we derive a family…

Statistical Mechanics · Physics 2026-03-24 André M. Timpanaro

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

Fluctuation theorems establish that thermodynamic processes at the microscale can occasionally result in negative entropy production. At the microscale, another distinct possibility becomes more likely: processes in which no entropy is…

Statistical Mechanics · Physics 2026-03-11 Abhaya S. Hegde , André M. Timpanaro , Gabriel T. Landi

We consider work fluctuation relations (FRs) for generic types of dynamics generating anomalous diffusion: Levy flights, long-correlated Gaussian processes and time-fractional kinetics. By combining Langevin and kinetic approaches we…

Statistical Mechanics · Physics 2009-03-24 A. V. Chechkin , R. Klages

Fluctuations arise universally in Nature as a reflection of the discrete microscopic world at the macroscopic level. Despite their apparent noisy origin, fluctuations encode fundamental aspects of the physics of the system at hand, crucial…

Statistical Mechanics · Physics 2011-06-06 Pablo I. Hurtado , Carlos Perez-Espigares , Jesus J. del Pozo , Pedro L. Garrido

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

First we describe briefly an information-action method for the study of stochastic dynamics of hamiltonian systems perturbed by thermal noise and chaotic instability. It is shown that, for the ensemble of possible paths between two…

Statistical Mechanics · Physics 2015-06-24 Qiuping A. Wang

Deterministic dynamical systems such as the baker maps are useful to shed light on some of the conditions verified by deterministic models in non-equilibrium statistical physics. We investigate a 2D dynamical system, enjoying a weak form of…

Dynamical Systems · Mathematics 2014-06-27 Paolo A. Adamo , Matteo Colangeli , Lamberto Rondoni

Previously, we have derived a generalization of the canonical fluctuation relation between heat capacity and energy fluctuations $C=\beta^{2}<\delta U^{2}>$, which is able to describe the existence of macrostates with negative heat…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , S. Curilef

A general fluctuational-electrodynamic theory is developed to investigate radiative heat exchanges between objects which are assumed small compared with their thermal wavelength (dipolar approximation) in N-body systems immersed in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Riccardo Messina , Maria Tschikin , Svend-Age Biehs , Philippe Ben-Abdallah

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

Statistical Mechanics · Physics 2023-12-15 T. R. Kirkpatrick , D. Belitz

We study the response of dynamical systems to finite amplitude perturbation. A generalized Fluctuation-Response relation is derived, which links the average relaxation toward equilibrium to the invariant measure of the system and points out…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , G. Lacorata , S. Musacchio , A. Vulpiani

This expository article presents an overview of research, conducted mostly between the mid-1990s and late 2000s, that explores a link between commutation relations among a family of asymptotically stable vector fields and stability…

Optimization and Control · Mathematics 2023-04-24 Daniel Liberzon

Fluctuations of the interface between coexisting colloidal fluid phases have been measured with confocal microscopy. Due to a very low surface tension, the thermal motions of the interface are so slow, that a record can be made of the…

Soft Condensed Matter · Physics 2009-11-13 V. W. A. de Villeneuve , J. M. J. van Leeuwen , W. van Saarloos , H. N. W. Lekkerkerker

The higher order moments of the fluctuations for the thermodynamical systems in the presence of fields are investigated in the framework of a theoretical method. The metod uses a generalized statistical ensemble consonant with the adequate…

Statistical Mechanics · Physics 2009-11-07 A. Boer , S. Dumitru

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi
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