Evolution of Non-Gaussian Hydrodynamic Fluctuations
High Energy Physics - Theory
2021-09-13 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
In the context of the search for the QCD critical point using non-Gaussian fluctuations, we obtain the evolution equations for non-Gaussian cumulants to the leading order of the systematic expansion in the magnitude of thermal fluctuations. We develop a diagrammatic technique in which the leading order contributions are given by tree diagrams. We introduce a Wigner transform for multipoint correlators and derive the evolution equations for three- and four-point Wigner functions for the problem of nonlinear stochastic diffusion with multiplicative noise.
Cite
@article{arxiv.2009.10742,
title = {Evolution of Non-Gaussian Hydrodynamic Fluctuations},
author = {Xin An and Gokce Basar and Mikhail Stephanov and Ho-Ung Yee},
journal= {arXiv preprint arXiv:2009.10742},
year = {2021}
}
Comments
8 pages, 3 figures. Clarifications and Supplementary Material with a numerical simulation added. Version accepted by PRL