We treat a lattice gas model on the planar-honeycomb lattice with nearest-neighbor exclusion and two types of next-nearest-neighbor attraction. In the generalized Bethe approximation described in the previous paper, the model exhibits both a gas-liquid, Ising-like, phase transition (with a critical point) and a gas-solid phase transition. We show that the qualitative features of the activity-temperature gas/liquid/solid phase diagram found in the Bethe approximation are present in a more rigorous treatment of the model using exact series expansions.
%0 Journal Article
%1 Poland1999Planar
%A Poland, Douglas
%D 1999
%I American Physical Society
%J Physical Review E
%K lattice\_model critical-phenomena
%N 2
%P 1523--1539
%R 10.1103/physreve.59.1523
%T Planar lattice model with gas, liquid, and solid phases
%U http://dx.doi.org/10.1103/physreve.59.1523
%V 59
%X We treat a lattice gas model on the planar-honeycomb lattice with nearest-neighbor exclusion and two types of next-nearest-neighbor attraction. In the generalized Bethe approximation described in the previous paper, the model exhibits both a gas-liquid, Ising-like, phase transition (with a critical point) and a gas-solid phase transition. We show that the qualitative features of the activity-temperature gas/liquid/solid phase diagram found in the Bethe approximation are present in a more rigorous treatment of the model using exact series expansions.
@article{Poland1999Planar,
abstract = {{We treat a lattice gas model on the planar-honeycomb lattice with nearest-neighbor exclusion and two types of next-nearest-neighbor attraction. In the generalized Bethe approximation described in the previous paper, the model exhibits both a gas-liquid, Ising-like, phase transition (with a critical point) and a gas-solid phase transition. We show that the qualitative features of the activity-temperature gas/liquid/solid phase diagram found in the Bethe approximation are present in a more rigorous treatment of the model using exact series expansions.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Poland, Douglas},
biburl = {https://www.bibsonomy.org/bibtex/2ada39db199b202fcb96220972d4b3951/nonancourt},
citeulike-article-id = {7749766},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.59.1523},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v59/i2/p1523},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v59/i2/p1523},
doi = {10.1103/physreve.59.1523},
interhash = {23affcbf0871c186886703fe14dcb7bb},
intrahash = {ada39db199b202fcb96220972d4b3951},
journal = {Physical Review E},
keywords = {lattice\_model critical-phenomena},
month = feb,
number = 2,
pages = {1523--1539},
posted-at = {2010-08-31 14:11:58},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-07-31T12:26:23.000+0200},
title = {{Planar lattice model with gas, liquid, and solid phases}},
url = {http://dx.doi.org/10.1103/physreve.59.1523},
volume = 59,
year = 1999
}