Evolution of Non-Gaussian Hydrodynamic Fluctuations

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.

8 pages, 3 figures. Clarifications and Supplementary Material with a numerical simulation added. Version accepted by PRL

References in corpus (7)

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• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Fluctuation dynamics in a relativistic fluid with a critical point
• Fluctuation dynamics near the QCD critical point
• Multiplicative noise and the diffusion of conserved densities
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