Spiral-lattice-site animals: an exact enumeration study

Bose, Indrani ; Ray, P. (1987) Spiral-lattice-site animals: an exact enumeration study Physical Review B, 35 (4). pp. 2071-2074. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v35/i4/p2071_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.35.2071


Spiral-lattice-site animals are studied on a square lattice by exact enumeration methods. The number of animals gs, their average perimeter ts and the average radius of gyration Rs are obtained exactly for all s-sited animals up to s=11. We find as s →∞ , gsλ s with λ =2.811± 0.002 ts~As with A=1.157± 0.020, and Rs~sρ with ρ =0.499± 0.030. These results are discussed and comparisons with ordinary and directed lattice animals are made.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:5979
Deposited On:19 Oct 2010 10:00
Last Modified:19 Oct 2010 10:00

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