Volume 71, Number 6, September 2005
|Page(s)||900 - 905|
|Published online||10 August 2005|
A first-order phase transition and a super-cooled fluid in a two-dimensional lattice gas model
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University - Tel Aviv 69978, Israel
2 Soreq NRC - Yavne 81800, Israel
Accepted: 8 July 2005
Studying the series expansion of the thermodynamic potential for the hard-core 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 critical activity zc, but the fluid branch continues beyond zc, describing a super-cooled fluid. It terminates with and finite entropy per lattice site. This termination density is close to the random-closest-packing density of the glassy state obtained for infinitely fast cooling.
PACS: 05.70.Fh – Phase transitions: general studies / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 64.70.Pf – Glass transitions
© EDP Sciences, 2005
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