Exact solution of the nonlinear boson diffusion equation for gluon scattering
arXiv:2406.11017 · doi:10.1088/1742-5468/ad5a78
Abstract
An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb-Pb collisions at relativistic energies is given.
16 pages, 2 figures; submitted to J. Stat. Mech.: Theory and Experiment (IOP/SISSA)