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arXiv · 1510.04552

Kinetic approach to a relativistic Bose-Einstein condensate

Alex Meistrenko·Hendrik van Hees·Kai Zhou·Carsten Greiner
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Abstract

We apply a Boltzmann approach to the kinetic regime of a relativistic Bose-Einstein condensate of scalar bosons by decomposing the one-particle distribution function in a condensate part and a non-zero momentum part of excited modes, leading to a coupled set of evolution equations which are then solved efficiently with an adaptive higher order Runge-Kutta scheme. We compare our results to the partonic cascade Monte-Carlo simulation BAMPS for a critical but far from equilibrium case of massless bosons. Motivated by the color glass condensate initial conditions in QCD with a strongly overpopulated initial glasma state, we also discuss the time evolution starting from an overpopulated initial distribution function of massive scalar bosons. In this system a self-similar evolution of the particle cascade with a non-relativistic turbulent scaling in the infrared sector is observed as well as a relativistic exponent for the direct energy cascade, confirming a weak wave turbulence in the ultraviolet region.

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Alex Meistrenko, Hendrik van Hees, Kai Zhou, Carsten Greiner. 2015-12-15. Kinetic approach to a relativistic Bose-Einstein condensate. https://doi.org/10.1103/physreve.93.032131

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