https://doi.org/10.1140/epjb/e2002-00304-9
Lattice effects in the quasiparticle dynamics and kinetics
Institute of Solid State Physics,
Bulgarian Academy of Sciences, 1484 Sofia, Bulgaria
Corresponding author: a dipushk@issp.bas.bg
Received:
20
October
2001
Published online:
2
October
2002
In this work we present a full selfconsistent set of nonlinear equations which unifies the nonlinear elasticity theory equations, the Boltzmannn transport theory and the Maxwell equations for quasiparticles with arbitrary dispersion laws in nonstationarily deformed crystals with arbitrary (but linear) constitutive relations. Transformations to replace the Galilean ones are obtained, the quasiparticle mechanics in a Hamiltonian form is deduced, and a Boltzmann-type transport equation (valid in the whole Brillouin zone) is derived. The theory may be applied to metals, semiconductors, quantum crystals, low-dimensional structures etc.
PACS: 05.60.-k – Transport processes / 05.20.-y – Classical statistical mechanics / 41.20.-q – Applied classical electromagnetism
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002