On onsager's relations in a magnetic field

Abstract

Onsager's theory is extended to the case of systems with a magnetic field, which is a continuous function of space. The reciprocal relations between phenomenological coefficients are found to be Linji (r′, B′; r, B) = Linij(r, B; r′, B′), where i and j number state variables of various kinds (which are continuous functions of space and time), r′ and r indicate space coordinates of two positions in the system, B′ and B denote the magnetic fields at those positions.