Thermalization of gluons with Bose-Einstein condensation

Abstract

We study the thermalization of gluons far from thermal equilibrium in relativistic kinetic theory. The initial distribution of gluons is assumed to resemble that in the early stage of ultrarelativistic heavy ion collisions. Only elastic scatterings in static, nonexpanding gluonic matter are considered. At first we show that the occurrence of condensation in the limit of vanishing particle mass requires a general constraint for the scattering matrix element. Then the thermalization of gluons with Bose-Einstein condensation is demonstrated in a transport calculation. We see a continuously increasing overpopulation of low energy gluons, followed by a decrease to the equilibrium distribution, when the condensation occurs. The times of the completion of the gluon condensation and of the entropy production are calculated. These times scale inversely with the energy density.

5 pages, 2 figures; references and clarifications added, version accepted by PRL

References in corpus (10)

• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Approach to equilibrium in weakly coupled nonabelian plasmas
• Non-abelian plasma instabilities for strong anisotropy
• The Glasma, Photons and the Implications of Anisotropy
• Quark-Gluon Plasmas and Thermalization
• Relativistic Boltzmann transport approach with Bose-Einstein statistics and the onset of gluon condensation
• Kinetic evolution of the glasma and thermalization in heavy ion collisions

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