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Dynamics theory of deformable solids with quasiparticle excitations in the presence of electromagnetic fields

1998/06/18 by Dimitar I. Pushkarov, D. I. Pushkarov, Pushkarov, Dimitar I.
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Condensed Matter (cond-mat) #Elasticity and Wave Propagation #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Magnetic and Electromagnetic Effects #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9806216

28 pages, RevTex, no figures. PACS: 72 (Electronic transport in condensed matter), 66 (Transport properties in condensed matter), 05.60 (Transport theory, Boltzmann equation), 05.20 (Kinetic theory), 70 (Condensed matter...), 41.20 (Electromagnetism)

arxiv created 1998/06/18 · openalex publication_date 1998/06/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A full selfconsistent set of equations is deduced to describe the kinetics and dynamics of charged quasiparticles (electrons, holes etc.) with arbitrary dispersion law in crystalline solids subjected to time-varying deformations. The set proposed unifies the nonlinear elasticity theory equation, a kinetic equation for quasiparticle excitations and Maxwell's equations supplemented by the constitute relations. The kinetic equation used is valid for the whole Brillouin zone. It is compatible with the requirement for periodicity in k-space and contains an essential new term compared to the traditional form of the Boltzmann equation. The theory is exact in the frame of the quasiparticle approach and can be applied to metals, semiconductors, as well as to other crystalline solids including quantum crystals and low-dimensional lattice structures.

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