On the modeling of ion transfer processes: from electrode reactions and polymer membranes to flows in micro- and nanochannels

The process of transfer of charged particles-ions in electrolyte solutions is a fundamental object of research in modern physical chemistry and electrochemistry. In our report, we will focus on one of the most interesting and difficult situations – the transfer of ions through the surface separating a liquid electrolyte and a charged solid (for example, an electrode or a polymer membrane). In this case, the leading characteristics and parameters of the phenomenon under study depend on the physicochemical processes occurring on a wide range of spatial scales - from interatomic distances (nanometers) to macroscopic scales (millimeters and centimeters). In recent decades, this field of electrochemistry and related applied mathematical research has become particularly important due to the rapid development of nano-technology and, in particular, micro- and nano-fluidics, a subdomain of nano–technology that studies the processes of fluid flow and associated transfer processes in micro- and nano-channels.