Abstract

We derive nonasymptotic expressions for the frequency- and temperature-dependent thermal diffusivity near a critical point in an Ising-type magnet. We consider a dynamic model which takes also into account the longitudinal sound mode. The asymptotic scaling function of the thermal diffusion constant at long wavelengths is given within the renormalization group formalism in one-loop order. A relation connecting longitudinal sound velocity and thermal diffusivity in a broad range of frequency and reduced temperature is obtained.

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