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.
Auteurs
A. D. Chepelianskii 1 F. Closa 2 E. Raphael 2 E. Trizac 3
1 LPS – Laboratoire de Physique des Solides
2 Gulliver (UMR 7083)
3 LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques
