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Causal Baryon Diffusion and Colored Noise

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arxiv 1404.4894 v1 pith:VVSFVVBF submitted 2014-04-18 nucl-th

Causal Baryon Diffusion and Colored Noise

classification nucl-th
keywords baryonmodelnoisecoloreddesireddiffusionfunctiontime
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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.

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    Time-correlated thermal noise modeled with a fractional derivative substantially alters heavy quark momentum correlations, displacement, and transverse-momentum moments in hot QCD matter.