Fluctuations in Relativistic Causal Hydrodynamics
Abstract
Formalism to calculate the hydrodynamic fluctuations by applying the Onsager theory to the relativistic Navier-Stokes equation is already known. In this work, we calculate hydrodynamic-fluctuations within the framework of the second order hydrodynamics of M\"{u}ller, Israel and Stewart and its generalization to the third order. We have also calculated the fluctuations for several other causal hydrodynamical equations. We show that the form for the Onsager-coefficients and form of the correlation-functions remains same as those obtained by the relativistic Navier-Stokes equation and it does not depend on any specific model of hydrodynamics. Further we numerically investigate evolution of the correlation function using the one dimensional boost-invariant (Bjorken) flow. We compare the correlation functions obtained using the causal hydrodynamics with the correlation-function for the relativistic Navier-Stokes equation. We find that the qualitative behavior of the correlation-functions remain same for all the models of the causal hydrodynamics.
Cite
@article{arxiv.1304.1873,
title = {Fluctuations in Relativistic Causal Hydrodynamics},
author = {Avdhesh Kumar and Jitesh R. Bhatt and Ananta P. Mishra},
journal= {arXiv preprint arXiv:1304.1873},
year = {2014}
}
Comments
22 pages, 12 figures, (some typographical errors are corrected, new references and figures have been added, accepted for publication in Nuclear Physics A.)