Thermal noise in a boost-invariant matter expansion in relativistic heavy-ion collisions

TL;DR

This paper develops a theoretical framework for thermal fluctuations in relativistic heavy-ion collisions, incorporating causal viscous hydrodynamics, and explores their phenomenological impact on particle correlations.

Contribution

It introduces a perturbative approach to thermal noise within second-order viscous hydrodynamics for boost-invariant expansion, including numerical simulations with lattice QCD equations of state.

Findings

Thermal fluctuations influence two-particle rapidity correlations.

Numerical simulations demonstrate the effects of thermal noise.

The framework is applicable to realistic heavy-ion collision scenarios.

Abstract

We formulate a general theory of thermal fluctuations within causal second-order viscous hydrodynamic evolution of matter formed in relativistic heavy-ion collisions. The fluctuation is treated perturbatively on top of a boost-invariant longitudinal expansion. Numerical simulation of thermal noise is performed for a lattice QCD equation of state and for various second-order dissipative evolution equations. Phenomenological effects of thermal fluctuations on the two-particle rapidity correlations are studied.