Counterions at Charged Cylinders: Criticality and universality beyond mean-field

Abstract

The counterion-condensation transition at charged cylinders is studied using Monte-Carlo simulation methods. Employing logarithmically rescaled radial coordinates, large system sizes are tractable and the critical behavior is determined by a combined finite-size and finite-ion-number analysis. Critical counterion localization exponents are introduced and found to be in accord with mean-field theory both in 2 and 3 dimensions. In 3D the heat capacity shows a universal jump at the transition, while in 2D, it consists of discrete peaks where single counterions successively condense.

arXiv comment4 pages, 3 figures; submitted to Phys. Rev. Lett. (2005)

References in corpus (5)

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• Strong-Coupling Theory for Counter-Ion Distributions
• Distribution of counterions near discretely charged planes and rods
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