Average size of random polygons with fixed knot topology.
Phys Rev E Stat Nonlin Soft Matter Phys
; 68(1 Pt 1): 011102, 2003 Jul.
Article
em En
| MEDLINE
| ID: mdl-12935122
ABSTRACT
We have evaluated by numerical simulation the average size R(K) of random polygons of fixed knot topology K=,3(1),3(1) musical sharp 4(1), and we have confirmed the scaling law R(2)(K) approximately N(2nu(K)) for the number N of polygonal nodes in a wide range; N=100-2200. The best fit gives 2nu(K) approximately 1.11-1.16 with good fitting curves in the whole range of N. The estimate of 2nu(K) is consistent with the exponent of self-avoiding polygons. In a limited range of N (N greater, similar 600), however, we have another fit with 2nu(K) approximately 1.01-1.07, which is close to the exponent of random polygons.
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Base de dados:
MEDLINE
Tipo de estudo:
Clinical_trials
Idioma:
En
Ano de publicação:
2003
Tipo de documento:
Article