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Lattice Model of an Ionic Liquid at an Electrified Interface
Matheus Girotto1, Thiago Colla2, Alexandre P Dos Santos1
1Instituto de Física, Universidade Federal do Rio Grande do Sul , Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS Brazil.
Abstract:
We study ionic liquids interacting with electrified interfaces. The ionic fluid is modeled as a Coulomb lattice gas. We compare the ionic density profiles calculated using a popular modified Poisson-Boltzmann equation with the explicit Monte Carlo simulations. The modified Poisson-Boltzmann theory fails to capture the structural features of the double layer and is also unable to correctly predict the ionic density at the electrified interface. The lattice Monte Carlo simulations qualitatively capture the coarse-grained structure of the double layer in the continuum. We propose a convolution relation that semiquantitatively relates the ionic density profiles of a continuum ionic liquid and its lattice counterpart near an electrified interface.
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