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

E. Eisenberg; A. Baram

doi:10.1209/epl/i2005-10166-3

All issues

Volume 71 / No 6 (September 2005)

Europhys. Lett., 71 6 (2005) 900-905

Abstract

Issue		Europhys. Lett. Volume 71, Number 6, September 2005


Page(s)		900 - 905
Section		General
DOI		https://doi.org/10.1209/epl/i2005-10166-3
Published online		10 August 2005

Europhys. Lett., 71 (6), pp. 900-905 (2005)

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

E. 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: 8 July 2005

Abstract

Studying the series expansion of the thermodynamic potential for the hard-core $\chem{N_3}$ 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 z_c, but the fluid branch continues beyond z_c, describing a super-cooled fluid. It terminates with $\rho/\rho_{cp}\sim 0.85$ 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

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