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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Local Excitation as Transport Phase Transition in Phonon Systems

  • Fr. Kaiser

Abstract

The Peierls-Boltzmann transport equation for phonons, which was re-formulated and modified in a previous paper, is extended to be applicable to arbitrary interactions and phonon processes. As a rule, it turns out that only two types of steady state solutions are possible: hysteresis and threshold. These two solutions reveal the possibility of “transport phase transitions”, i. e. a transition from the “thermodynamic” branch to a “nonthermodynamic” one via a cumulative excitation. It is shown that both the threshold and the hysteresis situation exhibit pronounced analogies to phase transi­tions in thermal equilibrium. The dependence of the steady states from the relevant parameters is discussed.

Received: 1977-6-2
Published Online: 2014-6-2
Published in Print: 1977-7-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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