Kinetic approach to a relativistic Bose-Einstein condensate
arXiv:1510.04552 · doi:10.1103/PhysRevE.93.032131
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.
11 pages, 8 figures; v2: Ref. added, additional results, 12 figures
References in corpus (6)
- Color superconductivity in dense quark matter
- Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
- Thermalization of gluons with Bose-Einstein condensation
- Relativistic Boltzmann transport approach with Bose-Einstein statistics and the onset of gluon condensation
- Properties of the Boltzmann equation in the classical approximation
- A Monte Carlo framework for noncontinuous interactions between particles and classical fields
Cited by in corpus (5)
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- Kinetic description of Bose-Einstein condensation with test particle simulations
- Thermalization of overpopulated systems in the 2PI formalism
- Kinetic approach to a relativistic BEC with inelastic processes
- Shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate