Temperature Propagation in Anharmonic Solids

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Abstract
Kadanoff and Martin have shown how the macroscopic propagation of a temperature wave can be expressed in terms of linear response functions of energy density and heat current density. We give here an evaluation of these response functions for an anharmonic crystal by perturbation techniques, and hence show the possibility of the temperature wave propagating as a second sound or as a first sound. We also demonstrate the correct limits of our response functions at small frequency and wave vector.

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