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Title: Relativistic hydrodynamic fluctuations

Abstract

We present a general systematic formalism for describing dynamics of fluctuations in an arbitrary relativistic hydrodynamic flow, including their feedback (known as long-time hydrodynamic tails). The fluctuations are described by two-point equal-time correlation functions. We introduce a definition of equal time in a situation where the local rest frame is determined by the local flow velocity and a method of taking derivatives and Wigner transforms of such equal-time correlation functions, which we call confluent. We find that not only do the equations for confluent Wigner functions resemble kinetic equations but also the kinetic equation for phonons propagating on an arbitrary background nontrivially matches the equations for Wigner functions, including relativistic inertial and Coriolis forces due to acceleration and vorticity of the flow. We also describe the procedure of renormalization of short-distance singularities which eliminates cutoff dependence, allowing efficient numerical implementation of these equations.

Authors:
; ; ;
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1558701
Alternate Identifier(s):
OSTI ID: 1609365
Grant/Contract Number:  
FG0201ER41195; SC0018209; FG02-01ER41195
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Name: Physical Review C Journal Volume: 100 Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Fluctuations & noise; Relativistic heavy-ion collisions; Relativistic hydrodynamics

Citation Formats

An, Xin, Başar, Gökçe, Stephanov, Mikhail, and Yee, Ho-Ung. Relativistic hydrodynamic fluctuations. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.100.024910.
An, Xin, Başar, Gökçe, Stephanov, Mikhail, & Yee, Ho-Ung. Relativistic hydrodynamic fluctuations. United States. doi:10.1103/PhysRevC.100.024910.
An, Xin, Başar, Gökçe, Stephanov, Mikhail, and Yee, Ho-Ung. Thu . "Relativistic hydrodynamic fluctuations". United States. doi:10.1103/PhysRevC.100.024910.
@article{osti_1558701,
title = {Relativistic hydrodynamic fluctuations},
author = {An, Xin and Başar, Gökçe and Stephanov, Mikhail and Yee, Ho-Ung},
abstractNote = {We present a general systematic formalism for describing dynamics of fluctuations in an arbitrary relativistic hydrodynamic flow, including their feedback (known as long-time hydrodynamic tails). The fluctuations are described by two-point equal-time correlation functions. We introduce a definition of equal time in a situation where the local rest frame is determined by the local flow velocity and a method of taking derivatives and Wigner transforms of such equal-time correlation functions, which we call confluent. We find that not only do the equations for confluent Wigner functions resemble kinetic equations but also the kinetic equation for phonons propagating on an arbitrary background nontrivially matches the equations for Wigner functions, including relativistic inertial and Coriolis forces due to acceleration and vorticity of the flow. We also describe the procedure of renormalization of short-distance singularities which eliminates cutoff dependence, allowing efficient numerical implementation of these equations.},
doi = {10.1103/PhysRevC.100.024910},
journal = {Physical Review C},
number = 2,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevC.100.024910

Citation Metrics:
Cited by: 5 works
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