Why charges go to the surface: A generalized Thomson problem
Abstract
We study a variant of the generalized Thomson problem in which n particles are confined to a neutral sphere and interacting by a 1/r^{γ} potential. It is found that for γ <= 1 the electrostatic repulsion expels all the charges to the surface of the sphere. However, for γ > 1 and n > n_{c}(γ) occupation of the bulk becomes energetically favorable. It is curious to note that the Coulomb law lies exactly on the interface between these two regimes.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 August 2003
 DOI:
 10.1209/epl/i2003005461
 arXiv:
 arXiv:condmat/0302524
 Bibcode:
 2003EL.....63..415L
 Keywords:

 71.10.Ca;
 64.60.Cn;
 Electron gas Fermi gas;
 Orderdisorder transformations;
 statistical mechanics of model systems;
 Condensed Matter  Soft Condensed Matter;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 Europhys. Lett. 63, 415 (2003)