Generalized kinetic theory of electrons and phonons: models, equilibrium and stability
Abstract
In the present paper our aim is to introduce some models for the generalization of the kinetic theory of electrons and phonons (KTEP), as well as to study equilibrium solutions and their stability for the generalized KTEP (GKTEP) equations. We consider a couple of models, relevant to nonstandard quantum statistics, which give rise to inverse power law decays of the distribution function with respect to energy. In the case of electrons in a phonon background, equilibrium and stability are investigated by means of Lyapounov theory. Connections with thermodynamics are pointed out.
 Publication:

Physica B Condensed Matter
 Pub Date:
 July 2003
 DOI:
 10.1016/S09214526(03)000796
 arXiv:
 arXiv:condmat/0303345
 Bibcode:
 2003PhyB..334..292R
 Keywords:

 Condensed Matter  Soft Condensed Matter;
 Mathematical Physics
 EPrint:
 10 pages, 2 figures, (RevTeX4), to appear in Physica B (2003)