title: Dynamics of Ion Transport in Ionic Liquids.
abstract: A gap in understanding the link between continuum theories of ion transport in ionic liquids and the underlying microscopic dynamics has hindered the development of frameworks for transport phenomena in these concentrated electrolytes. Here, we construct a continuum theory for ion transport in ionic liquids by coarse graining a simple exclusion process of interacting particles on a lattice. The resulting dynamical equations can be written as a gradient flow with a mobility matrix that vanishes at high densities. This form of the mobility matrix gives rise to a charging behavior that is different to the one known for electrolytic solutions, but which agrees qualitatively with the phenomenology observed in experiments and simulations.
authors.affiliation: Mathematical Institute, Andrew Wiles Building, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
authors.forename: Alpha A
authors.initials: AA
authors.lastname: Lee
authors.affiliation: IBG-1: Biotechnology, Forschungszentrum Jülich, 52425 Jülich, Germany.|Department of Chemistry, Faculty of Natural Sciences, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Svyatoslav
authors.initials: S
authors.lastname: Kondrat
authors.affiliation: Mathematical Institute, Andrew Wiles Building, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
authors.forename: Dominic
authors.initials: D
authors.lastname: Vella
authors.affiliation: Mathematical Institute, Andrew Wiles Building, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
authors.forename: Alain
authors.initials: A
authors.lastname: Goriely
mesh_terms: D000838:Anions / Q000737:chemistry; D002412:Cations / Q000737:chemistry; D052578:Ionic Liquids / Q000737:chemistry*; D008956:Models, Chemical; D013696:Temperature
chemical_list: D000838:Anions; D002412:Cations; D052578:Ionic Liquids