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We develop a dynamical model to describe critical fluctuations in heavy-ion collisions, incorporating the baryon diffusion current and chiral condensate as dynamical degrees of freedom, to address their nontrivial scale separation. The…

Nuclear Theory · Physics 2025-02-26 Azumi Sakai , Koichi Murase , Hirotsugu Fujii , Tetsufumi Hirano

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…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi

Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can be derived from the large-deviation rate functional for the…

Mathematical Physics · Physics 2023-10-05 Robert I. A. Patterson , D. R. Michiel Renger , Upanshu Sharma

The generating functional is derived for the fluctuation-dissipation relations which result from the unitarity and reversibility of microscopic dynamics and connect various statistical characteristics of many consecutive (continuous)…

Statistical Mechanics · Physics 2007-05-23 Yuriy E. Kuzovlev

We use a fluctuating hydrodynamic approach to calculate the orientation fluctuations correlation functions of a thermotropic nematic liquid crystal in a nonequilibrium state induced by a stationay heat flux. Since in this nonequilibrium…

Statistical Mechanics · Physics 2016-08-16 R. F. Rodríguez , H. Híjar

We propose to study the fluid dynamic propagation of fluctuations in relativistic heavy ion collisions differentially with respect to their azimuthal, radial and longitudinal wavelength. To this end, we introduce a background-fluctuation…

High Energy Physics - Phenomenology · Physics 2014-01-13 Stefan Floerchinger , Urs Achim Wiedemann

We formulate low Mach number fluctuating hydrodynamic equations appropriate for modeling diffusive mixing in isothermal mixtures of fluids with different density and transport coefficients. These equations eliminate the fluctuations in…

Numerical Analysis · Mathematics 2016-01-20 A. Donev , A. J. Nonaka , Y. Sun , T. G. Fai , A. L. Garcia , J. B. Bell

Biodiversity and extinction are central issues in evolution. Dynamical balance among different species in ecosystems is often described by deterministic replicator equations with moderate success. However, fluctuations are inevitable,…

Populations and Evolution · Quantitative Biology 2014-11-25 Tsung-Cheng Lu , Yi-Ko Chen , Hsiu-Hau Lin , Chun-Chung-Chen

Hydrodynamic fluctuations have been studied in a wide variety of physical, chemical, and biological phenomena in the past decade. In high energy heavy ion collisions, there will be intrinsic fluctuations even if the initial conditions are…

Nuclear Theory · Physics 2013-06-18 Joseph I. Kapusta , Juan M. Torres-Rincon

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

The fluctuation-dissipation relation, a central result in non-equilibrium statistical physics, relates equilibrium fluctuations in a system to its linear response to external forces. Here we provide a direct experimental verification of…

Soft Condensed Matter · Physics 2017-11-15 Shuvojit Paul , Abhrajit Laskar , Rajesh Singh , Basudev Roy , R. Adhikari , Ayan Banerjee

Recently, many interesting features of the hydrodynamically coupled motions of the Brownian particles in a viscous fluid have been reported which are impossible for the uncoupled motions of the similar particles. However, it is expected…

Soft Condensed Matter · Physics 2018-05-17 Shuvojit Paul

In this paper we introduce a novel method to simulate lateral diffusion of inclusions in a fluctuating membrane. The regarded systems are governed by two dynamic processes: the height fluctuations of the membrane and the diffusion of the…

Soft Condensed Matter · Physics 2007-05-23 Ellen Reister-Gottfried , Stefan M. Leitenberger , Udo Seifert

A recently developed non-linear fluctuating hydrodynamics theory has been quite successful in describing various features of anomalous energy transport. However the diffusion and the noise terms present in this theory are not derived from…

Statistical Mechanics · Physics 2019-01-23 Asaf Miron , Julien Cividini , Anupam Kundu , David Mukamel

The fluctuation dissipation theorem (FDT) is the basis for a microscopic description of the interaction between electromagnetic radiation and matter.By assuming the electromagnetic radiation in thermal equilibrium and the interaction in the…

Statistical Mechanics · Physics 2018-05-22 Lino Reggiani , Eleonora Alfinito

The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation…

Statistical Mechanics · Physics 2009-11-11 Vladimir L. Safonov , H. Neal Bertram

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

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

We develop numerical schemes for solving the isothermal compressible and incompressible equations of fluctuating hydrodynamics on a grid with staggered momenta. We develop a second-order accurate spatial discretization of the diffusive,…

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

Statistical Mechanics · Physics 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag