Strong screening in the plum pudding model

Abstract

We study a generalized Thomson problem that appears in several condensed matter settings: identical point-charge particles can penetrate inside a homogeneously charged sphere, with global electro-neutrality. The emphasis is on scaling laws at large Coulombic couplings, and deviations from mean-field behaviour, by a combination of Monte Carlo simulations and an analytical treatment within a quasi-localized charge approximation, which provides reliable predictions. We also uncover a local overcharging phenomenon driven by ionic correlations alone.

References in corpus (5)

• Statics and Dynamics of Strongly Charged Soft Matter
• Local molecular field theory for effective attractions between like charged objects in systems with strong Coulomb interactions
• Ionic Capillary Evaporation in Weakly Charged Nanopores
• Theoretical Description of Coulomb Balls - Fluid Phase
• On the connected-charges Thomson problem

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• A two-dimensional one component plasma and a test charge : polarization effects and effective potential