{"title":"Exact solution of the nonlinear boson diffusion equation for gluon scattering","authors":"L. Möhringer, G. Wolschin","doi":"arxiv-2406.11017","DOIUrl":null,"url":null,"abstract":"An exact analytical solution of the nonlinear boson diffusion equation (NBDE)\nis presented. It accounts for the time evolution towards the Bose-Einstein\nequilibrium distribution through inelastic and elastic collisions in case of\nconstant transport coefficients. As a currently interesting application, gluon\nscattering in relativistic heavy-ion collisions is investigated. An estimate of\ntime-dependent gluon-condensate formation in overoccupied systems through\nnumber-conserving elastic scatterings in Pb-Pb collisions at relativistic\nenergies is given.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Exactly Solvable and Integrable Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.11017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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