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arXiv · 2306.13749

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

Pooja·Santosh K. Das·Vincenzo Greco·Marco Ruggieri
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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 $β-1$, $0\leqβ<1$; we treat $β$ 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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Pooja, Santosh K. Das, Vincenzo Greco, Marco Ruggieri. 2023-06-23. Thermalization and isotropization of heavy quarks in a non-Markovian medium in high-energy nuclear collisions. https://arxiv.org/abs/2306.13749

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