Fractal dimensionality of polymer chains
- 1 June 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (6)
- https://doi.org/10.1088/0305-4470/15/6/011
Abstract
The authors suggest that the concept of fractal dimensionality provides a useful characterisation of the configurational properties of a single polymer. From numerical studies of long polymers traced out by self-avoiding walks on a planar lattice, they find that the fractal dimensionality is well defined and has a constant value for most scales of length of the chain. Renormalisation group theory provides a theoretical basis for the concept of fractal dimensionality in polymers.Keywords
This publication has 11 references indexed in Scilit:
- Fractal Form of ProteinsPhysical Review Letters, 1980
- Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponentsJournal of Physics A: General Physics, 1977
- Polymers and scalingPhysics Reports, 1976
- Configurational properties of polymers in a good solventJournal of Physics A: General Physics, 1976
- Monte Carlo Studies of Self-Interacting Polymer Chains with Excluded Volume. I. Squared Radii of Gyration and Mean-Square End-to-End Distances and Their MomentsMacromolecules, 1973
- Shape of self-avoiding walk or polymer chainJournal of Physics A: General Physics, 1971
- Mean-Square Intrachain Distances in a Self-Avoiding WalkThe Journal of Chemical Physics, 1969
- Correlations in a Self-Avoiding WalkThe Journal of Chemical Physics, 1969
- Self‐Avoiding Walks on LatticesPublished by Wiley ,1969
- Shape of a Self-Avoiding Walk or Polymer ChainThe Journal of Chemical Physics, 1966