Evidence is presented, based on transfer-matrix and Monte Carlo calculations, for the occurrence of a gas-liquid phase transition in suitably constructed, two-dimensional lattice-gas models with extended hard-core repulsion on the triangular lattice. Three different models having this property are identified. The first system is characterized by nearest-neighbor exclusion and an interparticle attraction ranging from second- to fourth-neighbor distance. In a further example, the hard core reaches second neighbors, while the attraction ranges from third to fifth neighbors. Finally, in a third model, the core extends up to fourth neighbors, while the attraction covers all distances from fifth to eighth neighbors. I discuss how to use these results in order to make a realistic lattice simulation of the triangular, (111) surface of a fcc solid.
%0 Journal Article
%1 Prestipino2000Twodimensional
%A Prestipino, Santi
%D 2000
%J Physical Review E
%K 76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics 82b20-lattice-systems-and-systems-on-graphs 82b26-phase-transitions 82c20-dynamic-lattice-systems-and-systems-on-graphs 82d15-liquids
%N 2
%P 2177--2187
%R 10.1103/physreve.62.2177
%T Two-dimensional Lattice Liquids
%U http://dx.doi.org/10.1103/physreve.62.2177
%V 62
%X Evidence is presented, based on transfer-matrix and Monte Carlo calculations, for the occurrence of a gas-liquid phase transition in suitably constructed, two-dimensional lattice-gas models with extended hard-core repulsion on the triangular lattice. Three different models having this property are identified. The first system is characterized by nearest-neighbor exclusion and an interparticle attraction ranging from second- to fourth-neighbor distance. In a further example, the hard core reaches second neighbors, while the attraction ranges from third to fifth neighbors. Finally, in a third model, the core extends up to fourth neighbors, while the attraction covers all distances from fifth to eighth neighbors. I discuss how to use these results in order to make a realistic lattice simulation of the triangular, (111) surface of a fcc solid.
@article{Prestipino2000Twodimensional,
abstract = {{Evidence is presented, based on transfer-matrix and Monte Carlo calculations, for the occurrence of a gas-liquid phase transition in suitably constructed, two-dimensional lattice-gas models with extended hard-core repulsion on the triangular lattice. Three different models having this property are identified. The first system is characterized by nearest-neighbor exclusion and an interparticle attraction ranging from second- to fourth-neighbor distance. In a further example, the hard core reaches second neighbors, while the attraction ranges from third to fifth neighbors. Finally, in a third model, the core extends up to fourth neighbors, while the attraction covers all distances from fifth to eighth neighbors. I discuss how to use these results in order to make a realistic lattice simulation of the triangular, (111) surface of a fcc solid.}},
added-at = {2019-03-01T00:11:50.000+0100},
author = {Prestipino, Santi},
biburl = {https://www.bibsonomy.org/bibtex/2b6c3e9318e7c0ac4017141f886b19329/gdmcbain},
citeulike-article-id = {14679962},
citeulike-attachment-1 = {prestipino_00_twodimensional_1151686.pdf; /pdf/user/gdmcbain/article/14679962/1151686/prestipino_00_twodimensional_1151686.pdf; 2142771a87a0ca6102827b22dd7b094fc3e995fb},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.62.2177},
day = 1,
doi = {10.1103/physreve.62.2177},
file = {prestipino_00_twodimensional_1151686.pdf},
interhash = {adcac38a0a09ad40fa19a9b9789c1247},
intrahash = {b6c3e9318e7c0ac4017141f886b19329},
issn = {1063-651X},
journal = {Physical Review E},
keywords = {76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics 82b20-lattice-systems-and-systems-on-graphs 82b26-phase-transitions 82c20-dynamic-lattice-systems-and-systems-on-graphs 82d15-liquids},
month = aug,
number = 2,
pages = {2177--2187},
posted-at = {2019-01-15 22:30:12},
priority = {2},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {{Two-dimensional Lattice Liquids}},
url = {http://dx.doi.org/10.1103/physreve.62.2177},
volume = 62,
year = 2000
}