The asymptotic form of the cluster partition function in a two-dimensional lattice gas

R. Dickman and W.C. Schieve

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 1, 51-64

Abstract: The partition function, Zp, of a cluster of p particles in a lattice gas depends on the number of lattice embeddings of labelled, connected graphs with p points and a given number of lines. We have determined the asymptotic behavior of this quantity for the triangular lattice. It appears that a similar behavior obtains in the square lattice. We find that Zp⋍ekp−μ√p as p→∞. For small clusters, the surface energy is significantly greater than its asymptotic value.

Date: 1982
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:1:p:51-64

DOI: 10.1016/0378-4371(82)90208-4

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