EQUILIBRIUM-CONFIGURATIONS OF PARTICLES ON A SPHERE - THE CASE OF LOGARITHMIC INTERACTIONS

Authors
BERGERSEN B BOAL D PALFFYMUHORAY P
Citation
B. Bergersen et al., EQUILIBRIUM-CONFIGURATIONS OF PARTICLES ON A SPHERE - THE CASE OF LOGARITHMIC INTERACTIONS, Journal of physics. A, mathematical and general, 27(7), 1994, pp. 2579-2586
Citations number
16
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
7
Year of publication
1994
Pages
2579 - 2586
Database
ISI
SICI code
0305-4470(1994)27:7<2579:EOPOAS>2.0.ZU;2-Y
Abstract
We consider a system of N particles which are confined to the surface of a sphere and which interact via a potential that depends logarithmi cally on their separation. The ground-state properties of this system are investigated for N = 2 to 65. Unlike the case of Coulomb interacti ons this system has ground-state configurations with zero dipole momen t for all N. The thermal properties of a selected set of systems in th e range N = 2 to 500 are determined by Monte Carlo simulation. The res ults are compared with analytical calculations in the small- and large -N limits.