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Thermalization and isotropization of heavy quarks in a non-Markovian medium in high-energy nuclear collisions
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Thermalization and isotropization of heavy quarks in a non-Markovian medium in high-energy nuclear collisions
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We study the isotropization and thermalization of heavy quarks in a non-Markovian medium in high energy nuclear collisions. In particular, we analyze the case of a non-stationary medium with a noise whose time-correlator decays as a power law (heavy tailed noise). We assume the correlations decay with an exponent $\beta-1$, $0\leq\beta<1$; we treat $\beta$ as a free parameter. We analyze the effect of memory on the thermalization and isotropization of heavy quarks in the medium via a generalized Langevin equation. In general, we find that memory slows down the dynamics of heavy quarks; moreover, thermalization and isotropization happen on the same time scale once a realistic initialization is considered. We also find that while the effect on charm quarks can be relevant, beauty quarks are hardly affected by memory in the quark-gluon plasma phase. Finally, we comment on the effect of memory on the estimate of $D_s$ of charm and beauty.
Forward citations
Cited by 4 Pith papers
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Nonequilibrium approach to heavy-quark transport
Heavy-quark transport in quark-gluon plasma is derived from the Kadanoff-Baym equation; off-shell and memory effects reduce scattering rates and slow relaxation.
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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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Towards compressed baryonic matter densities: D meson diffusion
Using relaxation-time kinetic theory with a chiral hadronic model, the authors estimate that D meson spatial diffusion in dense nuclear matter decreases rapidly in a dilute-gas regime and mildly in a degenerate-gas regime.
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