Exact solution of the nonlinear boson diffusion equation for gluon scattering

L. Möhringer,G. Wolschin

Published 2024 in Journal of Statistical Mechanics: Theory and Experiment

ABSTRACT

An exact analytical solution of the nonlinear boson diffusion equation is presented. It accounts for the time evolution toward the Bose–Einstein equilibrium distribution through inelastic and elastic collisions in the case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of the time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb–Pb collisions at relativistic energies is given.

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