Evolution of Non-Gaussian Hydrodynamic Fluctuations
arXiv:2009.10742 · doi:10.1103/PhysRevLett.127.072301
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.
arXiv comment8 pages, 3 figures. Clarifications and Supplementary Material with a numerical simulation added. Version accepted by PRL
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