Self-Avoiding Walks on the Simple Cubic Lattice
- 15 July 1963
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 39 (2) , 410-412
- https://doi.org/10.1063/1.1734262
Abstract
Numerical data on self‐avoiding walks on the simple cubic lattice are presented. It is estimated that the number, cn, of such walks of n steps behaves for large n as n1/6μn, where μ=4.68260±0.00025.Keywords
This publication has 15 references indexed in Scilit:
- Monte Carlo Procedures for Generation of Nonintersecting ChainsThe Journal of Chemical Physics, 1962
- The exact enumeration of self-avoiding walks on a latticeMathematical Proceedings of the Cambridge Philosophical Society, 1962
- Probability of Initial Ring Closure in the Restricted Random-Walk Model of a MacromoleculeThe Journal of Chemical Physics, 1961
- Cluster Size in Random Mixtures and Percolation ProcessesPhysical Review B, 1961
- Configuration and Free Energy of a Polymer Molecule with Solvent InteractionThe Journal of Chemical Physics, 1961
- On the theory of cooperative phenomena in crystalsAdvances in Physics, 1960
- On Noncrossing Lattice PolygonsThe Journal of Chemical Physics, 1959
- Excluded-Volume Problem and the Ising Model of FerromagnetismPhysical Review B, 1959
- New Method for the Statistical Computation of Polymer DimensionsThe Journal of Chemical Physics, 1959
- Statistical Computation of Mean Dimensions of Macromolecules. IThe Journal of Chemical Physics, 1954