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

Martinez, M.; Schäfer, T.

doi:10.1103/PhysRevC.99.054902

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

Journal Article · Mon May 06 00:00:00 EDT 2019 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.99.054902· OSTI ID:1511074

Martinez, M.; Schäfer, T.

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.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-03ER41260

OSTI ID:: 1511074

Alternate ID(s):: OSTI ID: 1511003

Journal Information:: Physical Review C, Journal Name: Physical Review C Vol. 99 Journal Issue: 5; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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Critical behavior of the bulk viscosity in QCD Martinez, M.; Schäfer, T.; Skokov, V. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.074017	journal	October 2019

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Table I(p. 12)

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