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The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

Statistical Mechanics · Physics 2019-06-11 Y. Mishin

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

Statistical Mechanics · Physics 2017-11-16 Robert Marsland , Jeremy England

The stochastic dynamics of tracers arising from hydrodynamic fluctuations in a driven electrolyte is studied using a self-consistent field-theory framework in all dimensions. A plethora of scaling behaviour that includes two distinct…

Soft Condensed Matter · Physics 2026-02-12 Ramin Golestanian

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic states such as dispersive shock waves. Despite their physical prominence and the development of thorough theoretical and experimental…

Pattern Formation and Solitons · Physics 2018-04-11 Michelle D. Maiden , Dalton V. Anderson , Nevil A. Franco , Gennady A. El , Mark A. Hoefer

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation…

Statistical Mechanics · Physics 2013-05-29 Raphael Chetrite

Recent experimental and theoretical works have shown that giant fluctuations are present during diffusion in liquid systems. We use linearized fluctuating hydrodynamics to calculate the net mass transfer due to these non equilibrium…

Statistical Mechanics · Physics 2009-10-31 Doriano Brogioli , Alberto Vailati

In this paper, some equations are derived to describe the out-of-equilibrium thermodynamics of colloidal suspensions. These results are obtained assuming that the properties of the colloids essentially come from their surfaces which are…

Soft Condensed Matter · Physics 2013-03-29 Pierre de Thier

We introduce a model described in terms of a scalar velocity field on a 1d lattice, evolving through collisions that conserve momentum but do not conserve energy. Such a system posseses some of the main ingredients of fluidized granular…

Statistical Mechanics · Physics 2016-11-17 A. Lasanta , A. Manacorda , A. Prados , A. Puglisi

Coarse-grained models are widely used to explain the effective behavior of partially observable physical systems with hidden degrees of freedom. Reduction procedures in state space typically disrupt Markovianity and a fluctuation relation…

Statistical Mechanics · Physics 2024-09-24 Alberto Garilli , Pedro E. Harunari , Matteo Polettini

Event-by-event hydrodynamics (or hydrodynamics with fluctuating initial conditions) has been developed in the past few years. Here we discuss how it may help to understand the various structures observed in two-particle correlations.

High Energy Physics - Phenomenology · Physics 2011-03-17 R. P. G. Andrade , F. Grassi , Y. Hama , W. -L. Qian

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

Statistical Mechanics · Physics 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

We investigate hydrodynamic fluctuations in a 2D granular fluid excited by a vibrating base and in the presence of gravity, focusing on the transverse velocity modes. Since the system is inhomogeneous, we measure fluctuations in horizontal…

Soft Condensed Matter · Physics 2015-05-28 Giulio Costantini , Andrea Puglisi

Transport by normal diffusion can be decomposed into the so-called hydrodynamic modes which relax exponentially toward the equilibrium state. In chaotic systems with two degrees of freedom, the fine scale structure of these hydrodynamic…

Chaotic Dynamics · Physics 2009-10-31 P. Gaspard , I. Claus , T. Gilbert , J. R. Dorfman

The microscopic description of the local structure of water remains an open challenge. Here, we adopt an agnostic approach to understanding water's hydrogen bond network using data harvested from molecular dynamics simulations of an…

Soft Condensed Matter · Physics 2022-04-05 Adu Offei-Danso , Ali Hassanali , Alex Rodriguez

Dispersion forces between neutral material bodies are due to fluctuations of the polarization of the bodies. For bodies in equilibrium these forces are often referred to as Casimir-Lifshitz forces. For bodies in relative motion, in addition…

Quantum Physics · Physics 2022-09-12 Iver Brevik , Boris Shapiro , Mário Silveirinha

The relativistic theory of hydrodynamic fluctuations, or noise, is derived and applied to high energy heavy ion collisions. These fluctuations are inherent in any space-time varying system and are in addition to initial state fluctuations.…

Nuclear Theory · Physics 2012-01-18 Joseph Kapusta , Berndt Mueller , Misha Stephanov

We review generalized Fluctuation-Dissipation Relations which are valid under general conditions even in ``non-standard systems'', e.g. out of equilibrium and/or without a Hamiltonian structure. The response functions can be expressed in…

Statistical Mechanics · Physics 2019-09-10 A. Sarracino , A. Vulpiani

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

A correspondence between scalar field fluctuations and generalized fluctuations in a hydrodynamic approximation of fields is obtained. The results presented here are of interest to field-fluid correspondences and form part of theoretical…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Seema Satin