Cross-Dimensional relaxation in Bose-Fermi mixtures

TL;DR

This paper investigates how fermions in Bose-Fermi mixtures reach equilibrium through cross-dimensional rethermalization, using simulations and analytical models to predict relaxation behaviors across various parameters.

Contribution

It introduces a simple Enskog-based analysis that accurately predicts equilibration rates in Bose-Fermi mixtures, accounting for mass differences and initial conditions.

Findings

Monte Carlo simulations cover a wide parameter range.

Enskog-based analysis matches simulation results.

Predictions applicable to common alkali atom mixtures.

Abstract

We consider the equilibration rate for fermions in Bose-Fermi mixtures undergoing cross-dimensional rethermalization. Classical Monte Carlo simulations of the relaxation process are performed over a wide range of parameters, focusing on the effects of the mass difference between species and the degree of initial departure from equilibrium. A simple analysis based on Enskog's equation is developed and shown to be accurate over a variety of different parameter regimes. This allows predictions for mixtures of commonly used alkali atoms.