Abstract
The Peierls-Boltzmann transport formalism for phonons is re-formulated in such a way that the collision term is represented by the kernel of the master equation. Sequences of transport and statistical postulates lead to higher “golden rules” with non-energy-conserving intermediate states. This reveals the possibility of cumulative excitations by transport, in particular if a high-energy local motion is coupled to the transport system. A practical illustration is given in the example of the monoatomic harmonic chain.
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Wagner, M. (1973). On the Possibility of Transport-Phase-Transitions in Phonon Systems. In: Haken, H., Wagner, M. (eds) Cooperative Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86003-4_33
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DOI: https://doi.org/10.1007/978-3-642-86003-4_33
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