title: Mean-field beyond mean-field: the single particle view for moderately to strongly coupled charged fluids.
abstract: In a counter-ion only charged fluid, Coulomb coupling is quantified by a single dimensionless parameter. Yet, the theoretical treatment of moderately to strongly coupled charged fluids is a difficult task, central to the understanding of a wealth of soft matter problems, including biological systems. We show that the corresponding coupling regime can be remarkably well described by a single particle treatment, which, at variance with previous works, takes due account of inter-ionic interactions. To this end, the prototypical problem of a planar charged dielectric interface is worked out. Testing our predictions against Monte Carlo simulation data reveals an excellent agreement.
authors.affiliation: Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia.
authors.forename: Ladislav
authors.initials: L
authors.lastname: Šamaj
authors.affiliation: Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, CEP 91501-970 Porto Alegre, RS, Brazil.
authors.forename: Alexandre P
authors.initials: AP
authors.lastname: Dos Santos
authors.affiliation: Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, CEP 91501-970 Porto Alegre, RS, Brazil.
authors.forename: Yan
authors.initials: Y
authors.lastname: Levin
authors.affiliation: LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France.
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Trizac