title: Asymptotic current-voltage relations for currents exceeding the diffusion limit.
abstract: We consider the one-dimensional transport of ions into a perm-selective solid. Direct attempts to evaluate the current-voltage characteristics for currents exceeding the diffusion limit are frustrated by the appearance of nonconverging integrals. We describe how to overcome this obstacle using a regularization scheme.
authors.affiliation: Department of Mathematics, Technion-Israel Institute of Technology, Technion City 32000, Israel. udi@technion.ac.il
authors.forename: Ehud
authors.initials: E
authors.lastname: Yariv
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D004553:Electric Conductivity; D007477:Ions; D008956:Models, Chemical; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
chemical_list: D007477:Ions; D012996:Solutions