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Nonlinear diffusion of gluons

Georg Wolschin

Physica A: Statistical Mechanics and its Applications, 2022, vol. 597, issue C

Abstract: It is proposed to consider the fast thermalization of gluons in relativistic heavy-ion collisions as a diffusion process in momentum space. Closed-form analytical solutions of a nonlinear boson diffusion equation (NBDE) with constant drift and diffusion coefficients v, D and boundary conditions at the singularity are derived. The time evolution towards local central temperatures T≲600MeV through inelastic gluon scatterings in heavy-ion collisions is calculated for under- and overoccupied systems in the full momentum range. The results are consistent with QCD-based numerical calculations for gluon thermalization via inelastic gluon collisions.

Keywords: Nonlinear boson diffusion equation; Analytical solution; Thermalization of gluons; Relativistic heavy-ion collisions; Over- and underoccupied systems; Inelastic scatterings (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002485

DOI: 10.1016/j.physa.2022.127299

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