A hard-sphere model on generalized Bethe lattices: Statics

Details A hard-sphere model on generalized Bethe lattices: Statics A hard-sphere model on generalized Bethe lattices: Statics

2005-01-24

arxiv.org/abs/cond-mat/0501571v2

J. Stat. Mech. (2005) P04006

Physics

Condensed Matter

Statistical Mechanics

24 pages, revised version

Scientific paper

10.1088/1742-5468/2005/04/P04006

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.

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