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Cluster Structure of a Two‐Dimensional Lattice Gas Model
Author(s) -
Esin V. O.,
Danilyuk V. I.
Publication year - 1985
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221270202
Subject(s) - cluster (spacecraft) , perimeter , cluster size , monte carlo method , lattice (music) , materials science , statistical physics , condensed matter physics , physics , geometry , mathematics , statistics , electronic structure , computer science , acoustics , programming language
Using the Monte Carlo method the cluster structure of a two‐dimensional lattice gas model is investigated. The ratios Γ s and Γ ε of the perimeter S and boundary energy ε of a cluster to its size are studied over a wide temperature interval. For all temperatures, beyond some characteristic temperature‐dependent cluster size l 0 , Γ S and Γ ε are found to be independent of l . The temperature dependences of the ratios of the perimeter and energy of a cluster to its size, of the mean size of clusters, and of the vacant‐site concentration of occupied‐site clusters in a two‐dimensional system are studied.