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Relativistic fluctuating hydrodynamics with memory functions and colored noises
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Relativistic fluctuating hydrodynamics with memory functions and colored noises
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Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises appeared in an integral form of constitutive equations should be colored ones from fluctuation-dissipation relations. Nevertheless noises turn out to be white ones in its differential form when noises are assumed to be Gaussian. The obtained ifferential equations are very useful in numerical implementation of relativistic fluctuating hydrodynamics.
Forward citations
Cited by 1 Pith paper
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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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