Samko S. Ion transport and electric potentials in liquid systems with membranes in a presence of external fields

The work is devoted to the study of the ion transport peculiarities and electric potentials in liquid systems with natural and artificial membranes in a presence of temperature gradients, external electric and electromagnetic fields. The solutions of generalized equations of electrodiffusion theory are obtained for the case of external fields with taking into account the principal notions of non-equilibrium thermodynamics and electrodynamics of continuous media. It is shown that the additional contribution of temperature field to the dimensionless membrane potential can be presented in the form of product of Soret coefficient and temperature difference for both sides of membrane. The additional contributions of external electromagnetic field to the concentration and stationary membrane potentials are proportional to the difference of concentration derivatives of dielectric and magnetic permeabilities for different sides of membranes and have quadratic dependence on electric and magnetic fields strength. The ion transport through membrane structures in a presence of external fields is characterized by exponential dependences of Ussing-Teorell relations on changes of membrane potentials produced by influence of external fields and temperature gradient, Soret coefficients, concentration derivatives of dielectric and magnetic permeabilities.