Statistics of spiral lattice site animals with loops

Santra, S. B. ; Bose, I. (1989) Statistics of spiral lattice site animals with loops Journal of Physics A: Mathematical and General, 22 (22). pp. 5043-5049. ISSN 1751-8121

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Official URL: http://iopscience.iop.org/0305-4470/22/22/028

Related URL: http://dx.doi.org/10.1088/0305-4470/22/22/028

Abstract

For spiral lattice site animals embedded in the square lattice the authors conjecture a relation θ c = θ -ac where θ c is the animal number exponent for animals with c loops, θ 0 is the exponent for trees and a is a numerical constant of approximate value 1.62. This result is different from the relation θ c= θ 0- c which holds true for both undirected and directed animals.

Item Type:Article
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ID Code:5994
Deposited On:19 Oct 2010 09:58
Last Modified:23 May 2011 05:16

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