English

A hard-sphere model on generalized Bethe lattices: Statics

Statistical Mechanics 2009-11-11 v2 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0501571,
  title  = {A hard-sphere model on generalized Bethe lattices: Statics},
  author = {Hendrik Hansen-Goos and Martin Weigt},
  journal= {arXiv preprint arXiv:cond-mat/0501571},
  year   = {2009}
}

Comments

24 pages, revised version

R2 v1 2026-07-22T11:12:59.418Z