Dhar, Deepak (1983) Exact solution of a directed-site animals-enumeration problem in three dimensions Physical Review Letters, 51 (10). pp. 853-856. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v51/i10/p853_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.51.853
Abstract
An exact equivalence is established between the directed-site animals-enumeration (DSAE) problem in d dimensions and a crystal-growth model defined on the same lattice. In special cases, the latter reduces to the calculation of the free energy of a (d-1)-dimensional lattice gas with extended hard cores. The author solves a DSAE problem with d=3 exactly by using its equivalence to the hard-hexagon problem, and shows that the exponent θ=5/6. A new and simpler solution to the DSAE problem on the square and triangular lattices is given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 9295 |
| Deposited On: | 02 Nov 2010 12:33 |
| Last Modified: | 02 Nov 2010 12:33 |
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