An exactly solvable two component classical Coulomb system
Peter J Forrester
The Journal of the Australian Mathematical Society Series B Applied Mathematics | Cambridge University Press (CUP) | Published : 1984
AbstractA two component classical Coulomb system is considered, in which particles of charge +q and + 2q are constrained to lie on a circle and interact via the two-dimensional Coulomb potential. At a special value of the coupling constant the correlation functions are calculated exactly and the asymptotic form of the truncated charge-charge correlation is found to obey Jancovici's sum rule.