Proof of the existence of the cluster free energy |
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| Authors: | Ronald Dickman William C Schieve |
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| Institution: | (1) Center for Studies in Statistical Mechanics, The University of Texas at Austin, 78712 Austin, Texas;(2) Present address: Department of Physics and Astronomy, Louisiana State University, 70803 Baton Rouge, Louisiana |
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| Abstract: | LetZ
p
be the partition function over internal configurational degrees of freedom of ap-particle cluster. The existence of the limit, asp  , of ( p)–1 logZ
p
is demonstrated for the square, triangle, hexagon, simple cubic, face-centered cubic, and body-centered cubic lattice gas models, and for continuous space models with potentials satisfying stability and tempering conditions. Pairwise, finite-range bonding is assumed throughout.Supported in part by the Robert A. Welch Foundation. |
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| Keywords: | Clusters metastability connectedness |
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