Theory of thermoelectric effects when the temperature approximation is incorrect

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The flow of a thermoelectric current through a semiconductor of submicron dimensions is analyzed. The rate of surface relaxation of the energy is assumed to be much higher than the rate of electron-electron collisions. Under these conditions, it is incorrect to describe the electron gas by means of a Maxwellian distribution and thus to describe the thermoelectric effects in terms of an electron temperature and a chemical potential. A theory is derived for these effects. This theory does not include the latter parameters and is based on a non-Maxwellian distribution which is spatially nonuniform in terms of energy.
6 pages, RevTeX, AMSMath, authors can be contacted at http://www.fis.cinvestav.mx/~titov/

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