Chemical potential distribution of nonhomogeneous solid electrolyte

The concept of mean potentials is used for calculating the free energy and chemical potential distribution in a crystalline nonhomogeneous medium, taking into account Coulomb interactions. The lattice version of the equations determining the mean potentials is considered. The closed system of algebraic equations for the mean potentials is formulated and solved. The interparticle interaction potential is split into a short range part, screened Coulomb interaction and the rest of long range Coulomb interaction. The former two interactions are considered in detail, while the long range part is suggested to take into account in the mean spherical approximation. The chemical potential on a given site depends on the concentration distribution over the whole system.