Characteristic length of random knotting for cylindrical self-avoiding polygons

Authors
Shimamura, MK Deguchi, T
Citation
Mk. Shimamura et T. Deguchi, Characteristic length of random knotting for cylindrical self-avoiding polygons, PHYS LETT A, 274(5-6), 2000, pp. 184-191
Citations number
31
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
274
Issue
5-6
Year of publication
2000
Pages
184 - 191
Database
ISI
SICI code
0375-9601(20000925)274:5-6<184:CLORKF>2.0.ZU;2-6
Abstract
We discuss the probability of random knotting for a model of self-avoiding polygons whose segments are given by cylinders of unit length with radius r . We show numerically that the characteristic length of random knotting is roughly approximated by an exponential function of the chain thickness r. ( C) 2000 Elsevier Science B.V. All rights reserved.