Kinetics of the Bose-Einstein Condensation

TL;DR

This paper analyzes the kinetic equations governing the formation of Bose-Einstein condensates in weakly interacting bosonic systems, providing detailed equations of motion and exploring post-nucleation dynamics.

Contribution

It presents the complete coupled equations of motion for the normal fluid and condensate, and investigates the post-nucleation self-similar solution in greater detail than prior studies.

Findings

Derived the full equations of motion for the coupled system.

Analyzed the energy density distribution of the normal fluid.

Explored the self-similar solution after nucleation.

Abstract

We study the bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The issue of the dynamical formation of a Bose-Einstein condensate has been studied extensively. We supply here the completed equations of motion for the coupled system, the energy density distribution of the normal fluid and the density of the condensate. With this information the post-nucleation self-similar solution is investigated in more detail than before.