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:

An, Xin; Başar, Gökçe; Stephanov, Mikhail; Yee, Ho-Ung

Publication Date:

Thu Aug 22 00:00:00 EDT 2019

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