Causal Baryon Diffusion and Colored Noise

Abstract

We construct a model of baryon diffusion which has the desired properties of causality and analyticity. The model also has the desired property of colored noise, meaning that the noise correlation function is not a Dirac delta function in space and time; rather, it depends on multiple time and length constants. The model can readily be incorporated in 3+1 dimensional second order viscous hydro-dynamical models of heavy ion collisions, which is particularly important at beam energies where the baryon density is large.

20 pages, 5 figures

References in corpus (2)

• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions

Cited by in corpus (5)

• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Evolving Charge Correlations in a Hybrid Model with both Hydrodynamics and Hadronic Boltzmann Descriptions
• Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions
• The "ripples" on relativistically expanding fluid
• Consistent Implementation of Finite-Range Terms into Hydrodynamics