The Thermoelectric, Galvanomagnetic and Thermomagnetic Effects of Monovalent Metals, IV. Effect of the Non-equilibrium Distribution of the Phonons

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The effects of the non-equilibrium distribution of the phonons on the electrical and thermal conductivities, thermoelectric power, and transverse galvano- and thermomagnetic effects of metals are calculated. It is shown that Onsager’s reciprocal relation holds, actually, in the case of the non-equilibrium distribution of the phonons with presence of a magnetic field. For the spherical band model, the effect on the Ettingshausen-Nernst coefficient is not so large as appeared in literatures. For an anisotropic band model, the phonon drag terms appear in the Ettingshausen, Ettingshausen-Nernst and Righi-Leduc coefficients.