Non-Gaussian fluctuations in relativistic hydrodynamics: Confluent equations for three-point correlations

Fuente: arXiv
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Hauptverfasser: An, Xin, Basar, Gokce, Stephanov, Mikhail
Format: Preprint
Veröffentlicht: 2026
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author An, Xin
Basar, Gokce
Stephanov, Mikhail
author_facet An, Xin
Basar, Gokce
Stephanov, Mikhail
contents 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 multi-component matrix form. A novel 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 nontrivial problem in relativistic hydrodynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14110
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Non-Gaussian fluctuations in relativistic hydrodynamics: Confluent equations for three-point correlations
An, Xin
Basar, Gokce
Stephanov, Mikhail
Nuclear Theory
Statistical Mechanics
High Energy Physics - Theory
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 multi-component matrix form. A novel 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 nontrivial problem in relativistic hydrodynamics.
title Non-Gaussian fluctuations in relativistic hydrodynamics: Confluent equations for three-point correlations
topic Nuclear Theory
Statistical Mechanics
High Energy Physics - Theory
url https://arxiv.org/abs/2604.14110