A first-order phase transition and a super-cooled fluid in a two-dimensional lattice gas modelE. Eisenberg1 and A. Baram2
1 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
received 8 April 2005; accepted in final form 8 July 2005
published online 10 August 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.
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