Occupation Statistics for Parallel Dumbbells on a 2 × N Lattice Space

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Abstract
It is shown that occupation statistics for parallel dumbbells on a 2 × N lattice obeys the central limit theorem. On the basis of this conclusion, a modification of the maximum term method is utilized to enumerate for large N the number of distinguishable arrangements arising when indistinguishable, parallel dumbbells are placed on a 2 × N array. The coverage at which the maximum number of arrangements occurs and the pseudovariance for the distribution are also determined.

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