Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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5 pages, 3 figures, submitted to PRL on March 29, 2000 New version: 10 pages, 9 figures, forwarded to PRE on October 16, 2000

Scientific paper

10.1103/PhysRevE.63.031206

We examine in full generality the phase behavior of systems whose constituent particles interact by means of potentials which do not diverge at the origin, are free of attractive parts and decay fast enough to zero as the interparticle separation r goes to infinity. By employing a mean field-density functional theory which is shown to become exact at high temperatures and/or densities, we establish a criterion which determines whether a given system will freeze at all temperatures or it will display reentrant melting and an upper freezing temperature.

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