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Evolution of Non-Gaussian Hydrodynamic Fluctuations
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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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Critical fluid dynamics in two and three dimensions
Direct numerical simulations of stochastic model H give a dynamic critical exponent z ≈ 3 in 3D and z ≈ 2 in 2D, with a crossover from mean-field z = 4 controlled by the renormalized shear viscosity.
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