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Updated: Oct 22, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Evolution of Non-Gaussian Hydrodynamic Fluctuations
Xin An1,2, Gökçe Başar2, Mikhail Stephanov1,3
1Department of Physics, University of Illinois, Chicago, Illinois 60607, USA.
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.
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