Non-Gaussian fluctuations in relativistic hydrodynamics: Confluent equations for three-point correlations
Phys. Rev. C 114, 034916 – Published 25 September, 2026
DOI: https://doi.org/10.1103/89yq-qzm5
Abstract
We derive deterministic equations for the evolution of non-Gaussian fluctuations in relativistic stochastic hydrodynamics. This is achieved by defining the average local Landau frame and corresponding fluctuating hydrodynamic variables. Fully nonlinear stochastic hydrodynamics is expressed in a unified multicomponent matrix form. A relativistic formalism, also manifestly covariant under SO(3) rotations of the local spatial basis in the average local Landau frame, is introduced. The equations describe correlators of all hydrodynamic variables, including fluctuating velocity (or momentum density)—a long-standing problem in relativistic hydrodynamics.
