Zero separation theorem for systems with long range interactions

Abstract

We show that the value of the distribution function y_ij(r) at zero separation relates to the thermodynamic properties of systems whose species interact via an infinitely repulsive core plus long range interactions. This is the essence of the zero separation theorem (ZST). We derive the ZST for a model electrolyte solution made up of charged and neutral hard spheres, and extend this result to the case of partial dissociation. We also discuss the ZST for a mixture of hard spheres and hard dipoles. Furthermore we outline its generalization to the case of multipoles with fixed charge distribution. Finally, some conclusions are drawn concerning the behaviour of systems wherein the interactions are via a soft potential.

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Notes on contributors

M. Silbert

Lady Davis Fellow