A fluid-dynamic approach to heavy-quark diffusion in the quark-gluon plasma

Abstract

A fluid-dynamic approach to the diffusion of heavy quarks in the quark--gluon plasma (QGP) is presented. Specifically, we analyze the Fokker-Planck equation for the momentum transport of heavy quarks from a fluid perspective and use a mapping to second-order fluid-dynamics to determine conductivities and relaxation times governing their spatial diffusion. By investigating the relation between the two approaches, we provide new insights concerning the level of local thermalization of charm and bottom quarks inside the expanding QGP. Our results indicate that a fluid-dynamic description of diffusion is feasible for charm quarks at least for the latest stages of the fireball evolution.

8 pages, 4 figures

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Cited by in corpus (9)

• Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory
• Fluid dynamics of charm quarks in the quark--gluon plasma
• Charmonium Transport in Ultra-Relativistic Heavy-Ion Collisions at the LHC
• Measurement of Non-prompt ${\mathrm{D}}^0$-meson Elliptic Flow in Pb-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Towards the understanding of heavy quarks hadronization: from leptonic to heavy-ion collisions
• Mapping properties of the quark gluon plasma in Pb-Pb and Xe-Xe collisions at energies available at the CERN Large Hadron Collider
• Effect of Coriolis Force on Diffusion of D Meson
• Non-equilibrium attractor for non-linear stochastic dynamics
• Nonlinear causality of Israel-Stewart theory with diffusion