Discrete Boltzmann Equation for Anyons
Mathematical Physics
2025-05-29 v1 math.MP
Abstract
A semi-classical approach to the study of the evolution of anyonic excitations--elementary particles with fractional statistics, complementing bosons and fermions--is through the Boltzmann equation for anyons. This work reviews a discretized version--a system of partial differential equations--of such a quantum equation. Trend to equilibrium is studied for a planar stationary system, as well as the spatially homogeneous system. Essential properties of the linearized operator are proven, implying that results for general steady half-space problems for the discrete Boltzmann equation in a slab geometry can be applied.
Cite
@article{arxiv.2505.22529,
title = {Discrete Boltzmann Equation for Anyons},
author = {Niclas Bernhoff},
journal= {arXiv preprint arXiv:2505.22529},
year = {2025}
}
Comments
13 pages; MAT-DYN-NET 24