On the connective constants of two-dimensional self-avoiding walks |
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Authors: | A J Guttmann |
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Institution: | (1) Department of Mathematics, Statistics and Computer Science, The University of Newcastle, 2308, New South Wales, Australia |
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Abstract: | A recent proposal that a new critical exponent characterises the variation of the self-avoiding walk connective constant with lattice co-ordination number is shown to be invalid. Instead, a functional relationship similar to that which holds for the Ising model in two dimensions is found to represent the available data for two-dimensional self-avoiding walks rather well. |
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