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- W2091140984 abstract "Exact relationships are developed that describe the occupation statistics for pseudobidimensional arrays of dumbbells. It is found that E(k,N), the number of ways of arranging k indistinguishable dumbbells on a 3×N diagonal array of compartments is exactly described by the recursion relation E(k,N) = 4E(k−1,N−1)+E(k,N−1)−2E(k−2,N−2). The 3×N diagonal lattice space provides to the central sites of the lattice their full coordination number of nearest-neighboring compartments; therefore the solution of the present system provides a 1×N diagonal (central sites) ’’window’’ to watch the behavior of a true bidimensional array of dumbbells. For large values of N, the dumbbell freedom per lattice site on any given site of the central diagonal is found to be 1.8477⋅⋅⋅, which is only 3% higher than the exact value (1.7916⋅⋅⋅) found for a ’’locked’’ dumbbell on a bidimensional array." @default.
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- W2091140984 date "1982-04-01" @default.
- W2091140984 modified "2023-09-26" @default.
- W2091140984 title "Exact recursion relation for pseudobidimensional arrays of dumbbells" @default.
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- W2091140984 doi "https://doi.org/10.1063/1.525416" @default.
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