Europhys. Lett., 63 (3) , pp. 415-418 (2003)
Why charges go to the surface: A generalized Thomson problemY. Levin and J. J. Arenzon
Instituto de Física, Universidade Federal do Rio Grande do Sul Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brazil firstname.lastname@example.org
(Received 28 April 2003; accepted in final form 5 June 2003)
We study a variant of the generalized Thomson problem in which n particles are confined to a neutral sphere and interacting by a potential. It is found that for the electrostatic repulsion expels all the charges to the surface of the sphere. However, for and 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.
71.10.Ca - Electron gas, Fermi gas.
64.60.Cn - Order-disorder transformations; statistical mechanics of model systems.
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