Pseudo Matching To Identify Layers in Solid Electrolytes

We present a continuum model of charge transfer in a solid electrolyte which has a logarithmic singularity owing to a filling and emptying process. We use an auxiliary variable to regularize and simulate the model. We show that an electrically neutral bulk layer is present along with space charge layers at the boundary. Using matched asymptotic methods, we classify these into strong (polynomial) and weak (exponential) charge layers. We discuss the extensions to liquid electrolytes and the reconciliation between two different electrolyte models.

Iain Moyles obtained his PhD in Applied Mathematics from UBC in 2015 and is currently an Associate Professor in Applied Mathematics at York University. His research expertise is in mathematical modelling, perturbation methods, and scientific computing which he has applied to many fields including batteries, agriculture, diseases, pattern formation, and sugar processing. Interdisciplinarity is at the core of his research vision working with researchers in chemistry, biology, and industry to address complex problems in modern society. His research has appeared in the media including interviews with CTV News and Bloomberg.