Collisional invariants for the phonon Boltzmann equation
Herbert Spohn
TL;DR
This paper characterizes all collisional invariants for the phonon Boltzmann equation with pair collisions, under certain conditions on the dispersion relation, advancing the understanding of phonon transport.
Contribution
It provides a complete characterization of collisional invariants for the phonon Boltzmann equation with pair collisions, under mild dispersion relation assumptions.
Findings
Identifies all collisional invariants for the specified phonon Boltzmann equation.
Provides conditions on the dispersion relation for the invariants.
Enhances theoretical understanding of phonon collision processes.
Abstract
For the phonon Boltzmann equation with only pair collisions we characterize the set of all collisional invariants under some mild conditions on the dispersion relation.
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