Strong-coupling theory for counter-ion distributions

By A. Moreira, R. Netz. 2000

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The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory which becomes exact in the opposite limit of strong coupling. Formally, it corresponds to a standard virial expansion. Long-range divergences, which render the virial expansion intractable for homogeneous bulk systems, are shown to be renormalizable for the case of inhomogeneous distribution functions by a systematic expansion in powers of the fugacity. For a planar charged wall, our analytical results compare quantitatively with extensive Monte Carlo simulations.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/8a94cc178b928d516eb6155531f00395398d05db