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Liquid polymorphism and density anomaly in a lattice gas model

Vera B. Henriques*

Marcia C. Barbosa

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315970 São Paulo, SP, Brazil

  • Instituto de Física, Uinversidade Federal do Rio Grande do Sol, Caixa Postal 15051, 91501-970 Porto Alegre, RS, Brazil

  • *Electronic address: vhenriques@if.usp.br
  • Electronic address: barbosa@if.ufrgs.br; URL:http://www.if.ufrgs.br/~barbosa

Phys. Rev. E 71, 031504 – Published 21 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.031504

Abstract

We present a simple model for an associating liquid in which polymorphism and density anomaly are connected. Our model combines a two dimensional lattice gas with particles interacting through a soft core potential and orientational degrees of freedom represented through thermal “ice variables.” The competition between the directional attractive forces and the soft core potential leads to a phase diagram in which two liquid phases and a density anomaly are present. The coexistence line between the low density liquid and the high density liquid has a positive slope contradicting the surmise that the presence of a density anomaly implies that the high density liquid is more entropic than the low density liquid.

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