Entropy of the hard-core model.
The entropy of the hard-core model is analyzed subject to dimension, system size and particle density. Inspired by the exactly solvable one-dimensional case and the results from a virial expansion, we suggest a scaling relation for the two-dimensional and three-dimensional case. These relations are compared with numerical results, obtained by a modified Widom's particle insertion method. The notion of finite size effects, relevant for atomic glass-forming systems, is discussed in the context of the present results.
Winkler
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Institut für Mathematische Statistik, Westfälische Wilhelms-Universität Münster, Germany.
Alsmeyer
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G
Rubner
O
O
Heuer
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A