Generalized Kinetic Theory of Electrons and Phonons

TL;DR

This paper extends the kinetic theory to include particles with general statistics, analyzing equilibrium solutions and their stability for electrons and phonons.

Contribution

It introduces a generalized kinetic framework for electrons and phonons, accommodating a wide range of particle statistics beyond traditional models.

Findings

Equilibrium solutions are derived for the generalized kinetic equations.

Stability analysis of these solutions is performed.

The framework allows for modeling particles with non-standard statistical behaviors.

Abstract

A Generalized Kinetic Theory was proposed in order to have the possibility to treat particles which obey a very general statistics. By adopting the same approach, we generalize here the Kinetic Theory of electrons and phonons. Equilibrium solutions and their stability are investigated.