Exact solution of the nonlinear boson diffusion equation for gluon scattering
Nuclear Theory
2024-07-31 v1 High Energy Physics - Phenomenology
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.2406.11017,
title = {Exact solution of the nonlinear boson diffusion equation for gluon scattering},
author = {L. Möhringer and G. Wolschin},
journal= {arXiv preprint arXiv:2406.11017},
year = {2024}
}
Comments
16 pages, 2 figures; submitted to J. Stat. Mech.: Theory and Experiment (IOP/SISSA)