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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… Click to show full 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 3,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 underand overoccupied systems in the full momentum range. The results are consistent with QCDbased numerical calculations for gluon thermalization via inelastic gluon collisions.
Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2022
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