On a Boltzmann equation for Haldane statistics
Artikel i vetenskaplig tidskrift, 2019

The paper is a study of quantum quasi-påarticles obeying Haldane statistics in a fully non-linear Boltzmann equation model with large initial data on a torus. Strong L1 solutions are obtained for the Cauchy problem. The main results concern existence, uniqueness, and stability. Depending on the space dimension and the collision kernel, the results obtained are local or global in time.

low temperature kinetic theory

quantum Boltzmann equation

anyon

Haldane statistics

Författare

Anne Nouri

Aix-Marseille Université

Leif Arkeryd

Chalmers, Matematiska vetenskaper

Kinetic and Related Models

1937-5093 (ISSN) 1937-5077 (eISSN)

Vol. 12 2 323-346

Styrkeområden

Nanovetenskap och nanoteknik (SO 2010-2017, EI 2018-)

Ämneskategorier

Matematik

Fysik

Fundament

Grundläggande vetenskaper

DOI

10.3934/krm.2019014

Mer information

Senast uppdaterat

2021-03-19