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Non-existence of a gap in the eigenvalue spectrum of the linearized collision operator of Peierls' phonon-Boltzmann equation
Authors:Josef Jäckle
Affiliation:1. Max-Planck-Institut für Physik und Astrophysik, Munich, Germany
2. Institut de Physique Théorique, Université de Genève, CH-1211, Genève 4
Abstract:
It is proved that the eigenvalue spectrum of the linearized collision operator of Peierls' phonon-Boltzmann equation has no gap. As a consequence the usual derivation of hydrodynamic equations from a Boltzmann equation is not valid in the case of a phonon system.
Keywords:
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