Limiting ring closure probability index for the self avoiding random walk problem
- 28 March 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (6), 945-954
- https://doi.org/10.1088/0022-3719/6/6/009
Abstract
The limiting ring closure probability index alpha for the self avoiding random walk problem in two and three dimensions is investigated. It is concluded that this index is greater than the initial ring closure probability index, and that alpha >or=2 for both two and three dimensional lattices.Keywords
This publication has 6 references indexed in Scilit:
- Limiting ring closure probability on the square latticeJournal of Physics A: General Physics, 1972
- The number of selfavoiding rings on a latticeJournal of Physics A: General Physics, 1972
- The asymptotic behaviour of selfavoiding walks and returns on a latticeJournal of Physics A: General Physics, 1972
- The transition matrix approach to selfavoiding walksJournal of Physics C: Solid State Physics, 1970
- Some Counting Theorems in the Theory of the Ising Model and the Excluded Volume ProblemJournal of Mathematical Physics, 1961
- Statistical Computation of Mean Dimensions of Macromolecules. IThe Journal of Chemical Physics, 1954