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arXiv · 2009.10742

Evolution of Non-Gaussian Hydrodynamic Fluctuations

Xin An·Gokce Basar·Mikhail Stephanov·Ho-Ung Yee
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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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Xin An, Gokce Basar, Mikhail Stephanov, Ho-Ung Yee. 2021-08-13. Evolution of Non-Gaussian Hydrodynamic Fluctuations. https://doi.org/10.1103/physrevlett.127.072301

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