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

Martinez, M. (Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA) ; Schäfer, T. (Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA)

06 May 2019

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.


Published in: Physical Review C 99 (2019)
Published by: APS
DOI: 10.1103/PhysRevC.99.054902
arXiv: 1812.05279
License: CC-BY-4.0



Back to search

Fulltext:
Download fulltextPDF Download fulltextXML
External links:
Download fulltextpdf
Download fulltextxml