Thermodynamical theory of galvanomagnetic and thermomagnetic phenomena. I: Reciprocal relations in anisotropic metals

Abstract

The thermodynamic theory of galvanomagnetic and thermomagnetic phenomena in anisotropic metals is developed. With the method of De Groot and Mazur, which allows to treat vectorial phenomena, the following reciprocal relations are derived from microscopic reversibility L s s ( B ) = L s s † ( — B ) , L e e ( B ) = L e e † ( — B ) , L e s ( B ) = L s e † ( — B ) , where L ss is the heat conduction tensor, L ee the electrical conduction tensor, L es and L se the tensors describing the cross-effects, and where the sign † indicates transpose matrix. The relation between the cross-effects is a non-trivial example of a reciprocal relation derived from the formulation of microscopic reversibility with variables, which are even and odd functions of particle velocities (Casimir's α - and β -variables).