A kinetic equation for spin polarized Fermi systems
Journal article, 2014
This paper considers a kinetic Boltzmann equation, having a gen-
eral type of collision kernel and modelling spin-dependent Fermi gases at low
temperatures. The distribution functions have values in the space of posi-
tive hermitean 2
2 complex matrices. Global existence of weak solutions is
proved in
L
1
\
L
1
for the initial value problem of this Boltzmann equation in
a periodic box
low temperature kinetic thory
Boltzmann spin kinetics
Fermi system with spin
Author
Leif Arkeryd
Chalmers, Mathematical Sciences
University of Gothenburg
Kinetic and Related Models
1937-5093 (ISSN) 1937-5077 (eISSN)
Vol. 7 1 1-8Areas of Advance
Nanoscience and Nanotechnology (SO 2010-2017, EI 2018-)
Subject Categories
Computational Mathematics
Physical Sciences
Roots
Basic sciences
DOI
10.3934/krm.2014.7.1
Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University: 2012:10