A hard-sphere model on generalized Bethe lattices: Statics

Abstract

We analyze the phase diagram of a model of hard spheres of chemical radius one, which is defined over a generalized Bethe lattice containing short loops. We find a liquid, two different crystalline, a glassy and an unusual crystalline glassy phase. Special attention is also paid to the close-packing limit in the glassy phase. All analytical results are cross-checked by numerical Monte-Carlo simulations.

24 pages, revised version

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• Liquid-Hextic-Solid Phase Transition of a Hard-Core Lattice Gas with Third Neighbor Exclusion
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• Phase Transition in a Random Minima Model: Mean Field Theory and Exact Solution on the Bethe Lattice
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