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Published September 11, 1985 | public
Journal Article Open

Size of rings in two dimensions

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.

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.

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