Abstract
The statistics of clusters in binary linear lattices is studied on the assumption that the relative weight of an A l or B m cluster is determined only by its size l or m, and is independent of the location of the cluster on the chain. The average cluster numbers and the variance of their fluctuations are calculated for two probability ensembles, the quasi-grand ensemble where the total number of units N varies, and the canonical ensemble where N is fixed. It is shown that in the latter case in the limit of large N the statistics of clusters is fully described by the cluster densities ϱ l and ϱ m , and a correlation function g AB( R) for which a susceptibility theorem is derived.
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