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Thermal fluctuations affect the dynamics of systems near critical points, the evolution of the early universe, and two-particle correlations in heavy-ion collisions. For the latter, numerical simulations of nearly-ideal, relativistic fluids…

Nuclear Theory · Physics 2015-06-16 Clint Young

We formulate a general theory of thermal fluctuations within causal second-order viscous hydrodynamic evolution of matter formed in relativistic heavy-ion collisions. The fluctuation is treated perturbatively on top of a boost-invariant…

Nuclear Theory · Physics 2018-05-16 Chandrodoy Chattopadhyay , Rajeev S. Bhalerao , Subrata Pal

The fluctuation-dissipation relation tells that dissipation always accompanies with thermal fluctuations. Relativistic fluctuating hydrodynamics is used to study the effects of the thermal fluctuations in the hydrodynamic expansion of the…

Nuclear Theory · Physics 2019-02-20 Tetsufumi Hirano , Ryuichi Kurita , Koichi Murase

We study the effects of hydrodynamic fluctuations in non-boost-invariant longitudinal expansion of matter formed in relativistic heavy ion collisions. We formulate the theory of thermal noise within second-order viscous hydrodynamics…

Nuclear Theory · Physics 2018-09-26 Chandrodoy Chattopadhyay , Subrata Pal

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

We discuss two topics on the experimental measurements of fluctuation observables in relativistic heavy-ion collisions. First, we discuss the effects of the thermal blurring, i.e. the blurring effect arising from the experimental…

Nuclear Theory · Physics 2016-10-21 Masakiyo Kitazawa , Masayuki Asakawa

The thermalization of quark-gluon plasma created in heavy-ion collisions is crucial for understanding its behavior as a relativistic fluid and the thermodynamic properties of the Quantum Chromodynamics (QCD). This study investigates the…

Nuclear Theory · Physics 2025-09-19 Yu-Shan Mu , Jing-An Sun , Li Yan , Xu-Guang Huang

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

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

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

Statistical Mechanics · Physics 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon

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

Particle momentum distributions originating from a quark-gluon plasma as produced in high-energy nuclear collisions can be influenced by thermal fluctuations in fluid dynamic fields. We study this effect by generalizing the commonly used…

Nuclear Theory · Physics 2023-07-19 Adrian Skasberg Aasen , Stefan Floerchinger , Giuliano Giacalone , Deniz Guenduez

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 present a novel approach to the treatment of thermal fluctuations in the (3+1)-D viscous hydrodynamic simulation MUSIC. The phenomenological impact of thermal fluctuations on hadronic observables is investigated using the IP-Glasma +…

Nuclear Theory · Physics 2019-02-20 Mayank Singh , Chun Shen , Scott McDonald , Sangyong Jeon , Charles Gale

We develop the relativistic theory of hydrodynamic fluctuations for application to high energy heavy ion collisions. In particular, we investigate their effect on the expanding boost-invariant (Bjorken) solution of the hydrodynamic…

Nuclear Theory · Physics 2015-06-03 J. I. Kapusta , B. Müller , M. Stephanov

When two nuclei collide close to the speed of light, a fluid state known as the quark-gluon plasma is formed. Attempts to understand the dynamics of this fluid have generated significant research into dissipative relativistic fluid…

Nuclear Theory · Physics 2024-02-21 Nicki Mullins , Mauricio Hippert , Jorge Noronha , Lorenzo Gavassino

A general theory of thermal magnetic fluctuations near conductive materials is developed; such fluctuations are the magnetic analog of Johnson noise. For realistic experiments in quantum computing and magnetic resonance force microscopy,…

Quantum Physics · Physics 2007-05-23 J. A. Sidles , J. L. Garbini , W. M. Dougherty , S. H. Chao

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

Statistical Mechanics · Physics 2023-03-23 Alex Fontana , Ludovic Bellon

We present a simple theoretical framework to describe the thermal noise of a microscopic mechanical beam in a viscous fluid: we use the Sader approach to describe the effect of the surrounding fluid (added mass and viscous drag), and the…

Classical Physics · Physics 2008-11-25 Ludovic Bellon

Turbulent flows frequently accompany physical, chemical and biological processes, such as mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all of which are in principle subject to thermal fluctuations…

Fluid Dynamics · Physics 2021-07-08 Dmytro Bandak , Gregory L. Eyink , Alexei Mailybaev , Nigel Goldenfeld
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