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Size of rings in two dimensions

Privman, V. and Rudnick, J. (1985) Size of rings in two dimensions. Journal of Physics A: Mathematical and General, 18 (13). L789-L793. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:PRIjpa85c

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Abstract

The authors report enumeration results for the radius of gyration and caliper size distribution of self-avoiding unrooted polygons of up to 28 steps, on the square lattice. The (second moment) radius of gyration series is sufficiently smooth to allow verification of the theoretical prediction v(rings)=v(walks) to 0.2% accuracy.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 1985. Received 29 May 1985. Print publication: Issue 13 (11 September 1985) We are indebted to M Cross for providing the computer facilities (which are supported by the NSF through grant DMR-84-12543) and to him and F Family for instructive discussions. VP acknowledges the award of a Bantrell Fellowship by the California Institute of Technology. JR wishes to thank the NSF for partial support through grant DMR-81-15542.
Record Number:CaltechAUTHORS:PRIjpa85c
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PRIjpa85c
Alternative URL:http://dx.doi.org/10.1088/0305-4470/18/13/010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6772
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Dec 2006
Last Modified:26 Dec 2012 09:24

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