A first-order phase-transition, a super-cooled fluid, and a glass in a two-dimensional lattice gas model

Details A first-order phase-transition, a super-cooled fluid, and a glass in a two-dimensional lattice gas model A first-order phase-transition, a super-cooled fluid, and a glass in a two-dimensional lattice gas model

2005-02-03

arxiv.org/abs/cond-mat/0502088v1

Europhys. Lett. 71, 900-5 (2005)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/epl/i2005-10166-3

Studying the series expansion of the thermodynamic potential for the hard-core N3 lattice-gas model, we provide evidence for a first-order phase-transition with a finite jump in density and entropy, in agreement with numerical transfer matrix calculations. The solid branch terminates at the transition, while the fluid branch continues beyond the critical activity, describing a meta-stable super-cooled fluid. It terminates with density 0.85 (relative to the closest packing density) and finite entropy per site. This termination density is close to the random-closest-packing density of the glassy state obtained for infinitely-fast cooling. The model thus exhibits a thermodynamic meta-stable glassy phase with finite Edwards' compactivity.

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