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arXiv · 2108.01607

Nonlinear diffusion of gluons

Georg Wolschin
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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< 600 MeV 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.

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Georg Wolschin. 2021-08-03. Nonlinear diffusion of gluons. https://doi.org/10.1016/j.physa.2022.127299

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