Stochastic fluctuations and the relaxation time in transient relativistic fluids

2024/06/21 by Gabriel S. Denicol, Denicol, Gabriel S., Jorge Noronha +1
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th)

paper · pdf · doi:10.48550/arxiv.2406.15569

openalex publication_date 2024/06/21 · openalex created_date 2024/06/26 · openalex updated_date 2026/08/01

Abstract

We argue that the ratio between the shear viscosity and the shear relaxation time, η/τ_π, should be defined as a thermodynamic quantity obtained from the equal-time symmetric correlator of the shear-stress tensor. In kinetic theory, we show that this ratio does not depend on the type of interaction. Similarly, an exact expression for this ratio is obtained for holographic gauge theories. We also determine how stochastic fluctuations change η/τ_π in transient relativistic hydrodynamics and show that thermal fluctuations do not spoil causality and stability.

Related

• Stochastic fluctuations in relativistic fluids: causality, stability, and the information current
• Relativistic fluctuations in stochastic fluid dynamics
• Recent developments in relativistic hydrodynamic fluctuations
• Transport coefficients of causal dissipative relativistic hydrodynamics in quenched lattice simulations
• A new approach to stochastic relativistic fluid dynamics from information flow