Properties of Self-Avoiding Walks Not Constrained to Lattices
- 1 November 1971
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 55 (9) , 4167-4173
- https://doi.org/10.1063/1.1676732
Abstract
A study of self‐avoiding walks not confined to a lattice was performed. By use of the method of direct enumeration, walks of 14 steps were generated. Two different models were studied. Configurational properties, such as the mean square end‐to‐end distance, the mean‐square radius of gyration, etc., plus hydrodynamic as well as phase transitionproperties were obtained. They are discussed in terms of the theories incorporating the excluded volume effect. Some of the results were applied to the DNA molecule.Keywords
This publication has 31 references indexed in Scilit:
- Direct Enumeration Study of Self-Avoiding Walks on the Tetrahedral LatticeThe Journal of Chemical Physics, 1969
- Self-Avoiding Walks on the Tetrahedral LatticeThe Journal of Chemical Physics, 1967
- Monte Carlo Study of Flexible Branched MacromoleculesThe Journal of Chemical Physics, 1966
- Viscosity, Sedimentation, et Cetera, of Ring- and Straight-Chain Polymers in Dilute SolutionThe Journal of Chemical Physics, 1966
- A helical polysome modelBiochimica et Biophysica Acta (BBA) - Biophysics including Photosynthesis, 1965
- Self-Avoiding Walks on the Simple Cubic LatticeThe Journal of Chemical Physics, 1963
- The exact enumeration of self-avoiding walks on a latticeMathematical Proceedings of the Cambridge Philosophical Society, 1962
- Configuration and Free Energy of a Polymer Molecule with Solvent InteractionThe Journal of Chemical Physics, 1961
- STATISTICAL THERMODYNAMICS OF COILING‐TYPE POLYMERS*Annals of the New York Academy of Sciences, 1961
- New Method for the Statistical Computation of Polymer DimensionsThe Journal of Chemical Physics, 1959