Abstract
We calculate the site occupation probabilities of one-dimensional lattice gas models within the canonical and grand canonical ensembles. The appearing differences do not vanish if we increase the system size keeping the site energies discrete. In this way one can explain the surprising numerical results of Barszczak and Kutner. This effect in the single-site occupation number disappears in higher dimensions.
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Németh, R. Difference between canonical and grand canonical ensembles in discrete lattice gas models. J Stat Phys 63, 419–424 (1991). https://doi.org/10.1007/BF01026615
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DOI: https://doi.org/10.1007/BF01026615