On low temperature kinetic theory; spin diffusion, Bose Einstein condensates, anyons

TL;DR

This paper explores quantum kinetic models at near-zero temperatures, highlighting differences from classical theory through examples involving spin diffusion, Bose-Einstein condensates, and anyons.

Contribution

It introduces quantum-specific kinetic behaviors and discusses their distinctions from classical Boltzmann theory at very low temperatures.

Findings

Quantum effects alter collision dynamics at low temperatures

Differences between quantum and classical Boltzmann theories are highlighted

Examples include spin diffusion, Bose-Einstein condensates, and anyons

Abstract

The paper considers some typical problems for kinetic models evolving through pair-collisions at temperatures not far from absolute zero, which illustrate specific quantum behaviours. Based on these examples, a number of differences between quantum and classical Boltzmann theory is then discussed in more general terms.