Equilibration in finite Bose systems

TL;DR

This paper models the equilibration process in finite Bose systems using a nonlinear transport equation, deriving exact solutions and comparing them to fermionic cases, with applications in heavy-ion collisions and cold gases.

Contribution

It introduces a novel approach using a gradient expansion and nonlinear transformation to solve the equilibration dynamics of finite Bose systems.

Findings

Exact solutions for Bose system equilibration are obtained.

Equilibration times are derived and compared with fermionic systems.

Potential applications include gluon systems in heavy-ion collisions and cold quantum gases.

Abstract

The equilibration of a finite Bose system is modelled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For constant transport coefficients, it is solved in closed form through a nonlinear transformation. Using schematic initial conditions, the exact solution and the equilibration time are derived and compared to the corresponding case for fermions. Applications to the equilibration of the gluon system created initially in relativistic heavy-ion collisions, and to cold quantum gases are envisaged.