The Non-linear Relation between Average Size and Perimeter of Lattice Animals
Open Access
- 1 November 1978
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 33 (11) , 1404-1405
- https://doi.org/10.1515/zna-1978-1126
Abstract
For t, the average number of sites in two dimensional cluster configurations (“lattice animals”) with a fixed perimeter t, an asymptotic dependence of the form t α t3/2 is found. This dependence, for which a scaling theory is still missing, is particularly accurate for the triangular lattice when t is measured by the number of broken bonds.Keywords
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