A fluctuation-corrected functional of convex Poisson-Boltzmann theory

A fluctuation-corrected functional of convex Poisson-Boltzmann theory

Poisson-Boltzmann theory allows to study soft matter and biophysical systems involving point-like charges of low valencies. The inclusion of fluctuation corrections beyond the mean-field approach typically requires the application of loop expansions around a mean-field solution for the electrostatic...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-09, Vol.51 (38), p.385001
Hauptverfasser: Blossey, R, Maggs, A C
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Sprache:eng
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Condensed Matter
duality
Physics
Poisson-Boltzmann theory
Soft Condensed Matter
soft matter electrostatics
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Maggs, A C
description Poisson-Boltzmann theory allows to study soft matter and biophysical systems involving point-like charges of low valencies. The inclusion of fluctuation corrections beyond the mean-field approach typically requires the application of loop expansions around a mean-field solution for the electrostatic potential , or sophisticated variational approaches. Recently, Poisson-Boltzmann theory has been recast, via a Legendre transform, as a mean-field theory involving the dielectric displacement field . In this paper we consider the path integral formulation of this dual theory. Exploiting the transformation between φ and , we formulate a dual sine-Gordon field theory in terms of the displacement field and provide a strategy for precise numerical computations of free energies beyond the leading order.
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subjects Condensed Matter
duality
Physics
Poisson-Boltzmann theory
Soft Condensed Matter
soft matter electrostatics
title A fluctuation-corrected functional of convex Poisson-Boltzmann theory
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