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Numerical integration of thermal noise in relativistic hydrodynamics

2013/06/03 by Clint Young · 34 citations
Physics and Astronomy · #Astrophysics #Cosmology and Gravitation Theories #Event (particle physics) #Geology #High-Energy Particle Collisions Research #Mechanics #Noise (video) #Observable #Particle (ecology) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Thermal #Thermal fluctuations #Thermodynamics #nucl-th

paper · pdf · doi:10.1103/physrevc.89.024913

published in Physical Review C 89(2) (American Institute of Physics) · 14 pages

arxiv created 2013/06/03 · openalex publication_date 2014/02/27 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Thermal fluctuations affect the dynamics of systems near critical points, the evolution of the early universe, and two-particle correlations in heavy-ion collisions. For the latter, numerical simulations of nearly ideal, relativistic fluids are necessary. The correlation functions of noise in relativistic fluids are calculated, stochastic integration of the noise in 3+1-dimensional viscous hydrodynamics is implemented, and the effect of noise on observables in heavy-ion collisions is discussed. Thermal fluctuations will cause significant variance in the event-by-event distributions of integrated v2 while changing average values even when using the same initial conditions, suggesting that including thermal noise will lead to refitting of the hydrodynamical parameters with implications for understanding the physics of hot QCD.

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