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Title: Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid

Abstract

We investigate the impact of hydrodynamic fluctuations on correlation functions in a scale invariant fluid with a conserved U(1) charge. The kinetic equations for the two-point functions of pressure, momentum, and heat energy densities are derived within the framework of stochastic hydrodynamics. The leading nonanalytic contributions to the energy-momentum tensor as well as the U(1) current are determined from the solutions to these kinetic equations. In the case of a static homogeneous background we show that the long time tails obtained from hydrokinetic equations reproduce the one-loop results derived from statistical field theory. We use these results to establish bounds on transport coefficients. We generalize the stochastic equation to a background flow undergoing Bjorken expansion. We compute the leading fractional power O((τT) –3/2) correction to the U(1) current and compare with the first-order gradient term.

Authors:
 [1];  [1]
  1. North Carolina State Univ., Raleigh, NC (United States)
Publication Date:
Research Org.:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1511074
Alternate Identifier(s):
OSTI ID: 1511003
Grant/Contract Number:  
FG02-03ER41260
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Hydrodynamic fluctuations; Stochastic Hydrodynamics

Citation Formats

Martinez, M., and Schäfer, T.. Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.99.054902.
Martinez, M., & Schäfer, T.. Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid. United States. doi:10.1103/PhysRevC.99.054902.
Martinez, M., and Schäfer, T.. Mon . "Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid". United States. doi:10.1103/PhysRevC.99.054902.
@article{osti_1511074,
title = {Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid},
author = {Martinez, M. and Schäfer, T.},
abstractNote = {We investigate the impact of hydrodynamic fluctuations on correlation functions in a scale invariant fluid with a conserved U(1) charge. The kinetic equations for the two-point functions of pressure, momentum, and heat energy densities are derived within the framework of stochastic hydrodynamics. The leading nonanalytic contributions to the energy-momentum tensor as well as the U(1) current are determined from the solutions to these kinetic equations. In the case of a static homogeneous background we show that the long time tails obtained from hydrokinetic equations reproduce the one-loop results derived from statistical field theory. We use these results to establish bounds on transport coefficients. We generalize the stochastic equation to a background flow undergoing Bjorken expansion. We compute the leading fractional power O((τT)–3/2) correction to the U(1) current and compare with the first-order gradient term.},
doi = {10.1103/PhysRevC.99.054902},
journal = {Physical Review C},
number = 5,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevC.99.054902

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