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Sum rules for the one-component plasma with additional short-range forces
Authors:P. Vieillefosse  M. Brajon
Affiliation:(1) Laboratoire de Physique Théorique des Liquides (équipe associée au CNRS), Université Pierre et Marie Curie, 75252 Paris Cedex 05, France
Abstract:It is proved that, in the one-component plasma, with interactions including a non-Coulombic short-range part, the density derivative of the correlation functionsrgrn(r1,ctdot,rn) can be simply expressed as an integral ofrgrn+1(r1,ctdot,rn+1). This result is applied to prove the relation between the fourth moment ofrgr2 and the compressibility.
Keywords:One-component plasma  BBGKY hierarchy  sum rules  screening
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