Competition between Short-Ranged Attraction and Short-Ranged Repulsion in Crowded Configurational Space; A Lattice Model Description

Details Competition between Short-Ranged Attraction and Short-Ranged Repulsion in Crowded Configurational Space; A Lattice Model Description Competition between Short-Ranged Attraction and Short-Ranged Repulsion in Crowded Configurational Space; A Lattice Model Description

2004-05-06

arxiv.org/abs/cond-mat/0405108v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.70.022401

We describe a simple nearest-neighbor Ising model that is capable of supporting a gas, liquid, crystal, in characteristic relationship to each other. As the parameters of the model are varied one obtains characteristic patterns of phase behavior reminiscent of continuum systems where the range of the interaction is varied. The model also possesses dynamical arrest, and although we have not studied it in detail, these 'transitions' appear to have a reasonable relationship to the phases and their transitions.

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