Solution of lattice gas models in the generalized ensemble on the Bethe lattice

Nave, Emilia La ; Sastry, Srikanth ; Sciortino, Francesco ; Tartaglia, Piero (1999) Solution of lattice gas models in the generalized ensemble on the Bethe lattice Physical Review E, 59 (6). pp. 6348-6355. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v59/i6/p6348_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.59.6348

Abstract

We present the exact Bethe lattice solution for a lattice gas Potts model defined in the generalized ensemble which was previously studied in elucidating the anomalous thermodynamic properties of water. For this model the locus of density maxima (TMD), the locus of isothermal compressibility extrema, (TEC), the spinodal curve, and the percolation curve for four hydrogen bonded molecules are calculated using the Bethe lattice solution. The results confirm qualitative relationships between the TMD, the TEC, and the percolation curve obtained previously from a mean field calculation.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:50146
Deposited On:21 Jul 2011 14:25
Last Modified:21 Jul 2011 14:25

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