q-linear approximants: Scaling functions for polygon models

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dc.creatorRichard, C.
dc.creatorGuttmann, A. J.
dc.date2001-09-10
dc.date.accessioned2026-07-07T09:58:43Z
dc.date.available2026-07-07T09:58:43Z
dc.descriptionThe perimeter and area generating functions of exactly solvable polygon models satisfy q-functional equations, where q is the area variable. The behaviour in the vicinity of the point where the perimeter generating function diverges can often be described by a scaling function. We develop the method of q-linear approximants in order to extract the approximate scaling behaviour of polygon models when an exact solution is not known. We test the validity of our method by approximating exactly solvable q-linear polygon models. This leads to scaling functions for a number of q-linear polygon models, notably generalized rectangles, Ferrers diagrams, and stacks.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0109159
dc.identifierhttp://arxiv.org/abs/cond-mat/0109159
dc.identifierJ. Phys. A: Math. Gen. 34 (2001) 4783-4796
dc.identifierdoi:10.1088/0305-4470/34/23/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167821
dc.subjectStatistical Mechanics
dc.titleq-linear approximants: Scaling functions for polygon models
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