Smolukhovsky problem for electrons in a metal

We find an analytic solution of the Smolukhovsky problem of the temperature and electric potential jumps in a metal under the action of the temperature gradient normal to the surface. We take the character of the electron energy accommodation on the surface into account. We find the analytic expressions for the electric field generated by heat processes, for the temperature distribution, and for the electric potential.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 93–111, January, 2005.