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Title: Fluctuation dynamics in a relativistic fluid with a critical point

Abstract

To describe dynamics of bulk and fluctuations near the QCD critical point we develop general relativistic fluctuation formalism for a fluid carrying baryon charge. Feedback of fluctuations modifies hydrodynamic coefficients including bulk viscosity and conductivity and introduces nonlocal and noninstantaneous terms in constitutive equations. We perform necessary ultraviolet (short-distance) renormalization to obtain cutoff-independent deterministic equations suitable for numerical implementation. We use the equations to calculate the universal nonanalytic small-frequency dependence of transport coefficients due to fluctuations (long-time tails). Focusing on the critical mode we show how this general formalism matches existing Hydro+ description of fluctuations near the QCD critical point and nontrivially extends it inside and outside of the critical region.

Authors:
ORCiD logo; ; ;
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1657276
Alternate Identifier(s):
OSTI ID: 1800026
Grant/Contract Number:  
FG02-01ER41195
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Name: Physical Review C Journal Volume: 102 Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics

Citation Formats

An, Xin, Başar, Gökçe, Stephanov, Mikhail, and Yee, Ho-Ung. Fluctuation dynamics in a relativistic fluid with a critical point. United States: N. p., 2020. Web. doi:10.1103/PhysRevC.102.034901.
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An, Xin, Başar, Gökçe, Stephanov, Mikhail, & Yee, Ho-Ung. Fluctuation dynamics in a relativistic fluid with a critical point. United States. https://doi.org/10.1103/PhysRevC.102.034901
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An, Xin, Başar, Gökçe, Stephanov, Mikhail, and Yee, Ho-Ung. Tue . "Fluctuation dynamics in a relativistic fluid with a critical point". United States. https://doi.org/10.1103/PhysRevC.102.034901.
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@article{osti_1657276,
title = {Fluctuation dynamics in a relativistic fluid with a critical point},
author = {An, Xin and Başar, Gökçe and Stephanov, Mikhail and Yee, Ho-Ung},
abstractNote = {To describe dynamics of bulk and fluctuations near the QCD critical point we develop general relativistic fluctuation formalism for a fluid carrying baryon charge. Feedback of fluctuations modifies hydrodynamic coefficients including bulk viscosity and conductivity and introduces nonlocal and noninstantaneous terms in constitutive equations. We perform necessary ultraviolet (short-distance) renormalization to obtain cutoff-independent deterministic equations suitable for numerical implementation. We use the equations to calculate the universal nonanalytic small-frequency dependence of transport coefficients due to fluctuations (long-time tails). Focusing on the critical mode we show how this general formalism matches existing Hydro+ description of fluctuations near the QCD critical point and nontrivially extends it inside and outside of the critical region.},
doi = {10.1103/PhysRevC.102.034901},
journal = {Physical Review C},
number = 3,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevC.102.034901
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Works referenced in this record:

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