Generalized Kinetic Theory of Electrons and Phonons: Models, Equilibrium, Stability

Details Generalized Kinetic Theory of Electrons and Phonons: Models, Equilibrium, Stability Generalized Kinetic Theory of Electrons and Phonons: Models, Equilibrium, Stability

2003-03-18

arxiv.org/abs/cond-mat/0303345v1

Physica B 334, 292 (2003).

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 2 figures, (RevTeX4), to appear in Physica B (2003)

Scientific paper

10.1016/S0921-4526(03)00079-6

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 non standard 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.

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