Gyration radius of a circular polymer under a topological constraint with excluded volume
| Autor: | Miyuki K. Shimamura, Tetsuo Deguchi |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
chemistry.chemical_classification
Quantitative Biology::Biomolecules Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Polymer Condensed Matter - Soft Condensed Matter Topology Mathematics::Geometric Topology Gyration Condensed Matter::Soft Condensed Matter Knot (unit) Average size chemistry Excluded volume Radius of gyration Soft Condensed Matter (cond-mat.soft) Trefoil Condensed Matter - Statistical Mechanics Mathematics |
| Zdroj: | Physical review. E, Statistical, nonlinear, and soft matter physics. 64(2 Pt 1) |
| ISSN: | 1539-3755 |
| Popis: | It is nontrivial whether the average size of a ring polymer should become smaller or larger under a topological constraint. Making use of some knot invariants, we evaluate numerically the mean square radius of gyration for ring polymers having a fixed knot type, where the ring polymers are given by self-avoiding polygons consisting of freely-jointed hard cylinders. We obtain plots of the gyration radius versus the number of polygonal nodes for the trivial, trefoil and figure-eight knots. We discuss possible asymptotic behaviors of the gyration radius under the topological constraint. In the asymptotic limit, the size of a ring polymer with a given knot is larger than that of no topological constraint when the polymer is thin, and the effective expansion becomes weak when the polymer is thick enough. 12pages,3figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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