On a Boltzmann equation for Haldane statistics
Journal article, 2019

The paper is a study of quantum quasi-pÄarticles 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

Author

Anne Nouri

Aix Marseille University

Leif Arkeryd

Chalmers, Mathematical Sciences

Kinetic and Related Models

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

Vol. 12 2 323-346

Areas of Advance

Nanoscience and Nanotechnology (SO 2010-2017, EI 2018-)

Subject Categories

Mathematics

Physical Sciences

Roots

Basic sciences

DOI

10.3934/krm.2019014

More information

Latest update

3/19/2021