Privman, V. and Redner, S. (1985) Tests of hyperuniversality for self-avoiding walks. Journal of Physics A: Mathematical and General, 18 (13). L781-L788. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:PRIjpa85b
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A universal combination of amplitudes for the end-to-end distance of N-step self-avoiding walks and for the number of N step self-avoiding polygons is estimated numerically for various lattices. In d=2, universality of this amplitude combination is confirmed to good accuracy, while in d=3, the data are consistent with universality but the error limits are rather large. For finite-width, square-lattice strips the authors calculate universal critical point correlation amplitudes by fixed-fugacity Monte Carlo simulations. In addition, these amplitudes are calculated analytically either exactly or approximately by Cardy's conformal mapping approach. Numerical values agree well with the theoretical predictions.
|Additional Information:||Copyright © Institute of Physics and IOP Publishing Limited 1985. Received 21 May 1985. Print publication: Issue 13 (11 September 1985) We benefited from collaboration with J Rudnick, particularly, in establishing the universality of P in (9). We are indebted to him, J L Cardy, P Kleban and I Majid for helpful suggestions and communication of unpublished results. VP acknowledges the award of a Bantrell Fellowship by the California Institute of Technology. SR acknowledges partial support from the ARO and NSF through the Center for Polymer Studies. Research at Caltech was supported in part by the NSF through grant DMR-84-12543.|
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|Deposited On:||20 Dec 2006|
|Last Modified:||26 Dec 2012 09:24|
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