The statistics of interacting dumbbells on a 2×N lattice space
- 1 April 1985
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (4) , 815-821
- https://doi.org/10.1063/1.526572
Abstract
A set theoretic argument is utilizied to determine a 31‐term recursion that describes exactly the composite nearest‐neighbor degeneracy for indistinguishable dumbbell particles distributed on a rectangular 2×N lattice space. The associated generating functions, the expectation of the lattice coverage, and the density of occupied nearest‐neighbor pairs are also determined.Keywords
This publication has 2 references indexed in Scilit:
- An exact recursion for the composite nearest-neighbor degeneracy for a 2×N lattice spaceJournal of Mathematical Physics, 1984
- Exact Recursion Relation for 2 × N Arrays of DumbbellsJournal of Mathematical Physics, 1970