Strong screening in the plum pudding model
LPS, UMR CNRS 8502, Bât. 510, Université Paris-Sud - 91405 Orsay, France, EU
2 Gulliver, UMR CNRS 7083, ESPCI - 10 rue Vauquelin, 75005 Paris, France, EU
3 Université Paris-Sud, Laboratoire de Physique Théorique et Modèles Statistiques, UMR CNRS 8626 91405 Orsay, France, EU
Accepted: 3 May 2011
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.
PACS: 82.70.Dd – Colloids / 52.27.Gr – Strongly-coupled plasmas / 05.20.Jj – Statistical mechanics of classical fluids
© EPLA, 2011