Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin

The purpose of this wok is to obtain a complete description of the entropy production within the framework of non equilibrium thermodynamics for the case of an isotropic material interface between two one-component immiscible fluids when both of them are magnetizable and polarizable and external and internal angular momentum are included. All physical variables are allowed to be singular along the interface with the exception of the magnetic field and electric field. The set of conservation laws for the interface are derived and the explicit form of the entropy production is obtained. Taking into account spacial and time reversal symmetries, we establish the phenomenological relations between the fluxes and thermodynamic forces. We conclude by providing an example where constraints for the values of the transport coefficients are obtained as a consequence of conditions which must be fulfilled to guarantee that the matrix of transport coefficients remains positive definite.