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Causal Baryon Diffusion and Colored Noise
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Causal Baryon Diffusion and Colored Noise
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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.
Forward citations
Cited by 2 Pith papers
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Memory effect on the heavy quark dynamics in hot QCD matter
Time-correlated thermal noise modeled with a fractional derivative substantially alters heavy quark momentum correlations, displacement, and transverse-momentum moments in hot QCD matter.
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Non-Markovian heavy-quark equilibration and equilibrium correlation function in a thermal medium
Memory (colored noise) changes the transient equilibration of heavy quarks but leaves their asymptotic spatial diffusion coefficient unchanged in this Langevin model.
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