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Thermalization and isotropization of heavy quarks in a non-Markovian medium in high-energy nuclear collisions

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arxiv 2306.13749 v1 pith:TO5PAKMA submitted 2023-06-23 hep-ph hep-latnucl-th

classification hep-phhep-latnucl-th
keywords quarksheavyisotropizationmediummemorythermalizationeffectanalyze
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Melting of $c \bar c$ and $b \bar b$ pairs in the pre-equilibrium stage of proton-nucleus collisions at the Large Hadron Collider

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Color decorrelation in the evolving glasma melts roughly half of initially singlet charm and bottom quark pairs within about 0.4 to 0.5 fm/c after their formation in proton-nucleus collisions at the LHC.

  2. Nonequilibrium approach to heavy-quark transport

    hep-ph 2026-07 conditional novelty 5.0 of 10

    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.

  3. Effect of Coriolis Force on Diffusion of D Meson

    hep-ph 2024-11 conditional novelty 5.0 of 10

    D meson spatial diffusion in a rotating hadron gas becomes anisotropic, with perpendicular and Hall components controlled by the Coriolis force and the ratio of relaxation time to rotation time.

  4. Non-Markovian heavy-quark equilibration and equilibrium correlation function in a thermal medium

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Memory (colored noise) changes the transient equilibration of heavy quarks but leaves their asymptotic spatial diffusion coefficient unchanged in this Langevin model.

  5. Towards compressed baryonic matter densities: D meson diffusion

    nucl-th 2026-07 conditional novelty 4.0 of 10

    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.

  6. Entropy from decoherence: a case study using glasma-based occupation numbers

    hep-ph 2025-07 reject novelty 4.0 of 10

    Decoherence of a glasma-like coherent state yields an entropy per particle below the thermal gluon gas value, except in proton-nucleus collisions at small g mu.

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