Generalized Equations for Ion Transport in Aqueous Solutions Through Membrane Structures: І. Electromagnetic and Subdiffusion Processes
A system of generalized transport equations for ions and water molecules in the system "initial aqueous solution of electrolyte – membrane – filtrate" is obtained, which describes diffusion electromagnetic processes through Maxwell's equations. The method of non-equilibrium statistical operator Zubarev is used. Generalized transport equations for ions of the $\bar{a}$ variety, which must be retained by the membrane for the purpose of selectivity, are identified. Using the method of fractional calculus and modeling the corresponding memory function, a generalized subd