Series study of the one-dimensional 'true' self-avoiding walk
- 21 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (9) , 1903-1912
- https://doi.org/10.1088/0305-4470/17/9/024
Abstract
The 'true' self avoiding walk problem is formulated using a grand canonical approach, and exact enumeration methods are used to calculate the average end-to-end distance for one-dimensional 'true' self-avoiding walks with up to 21 steps. The results are in agreement with a universality picture obtained both from Monte Carlo simulations and from scaling and crossover arguments. The extrapolated value of the end-to-end distance exponent nu is nu =0.67+or-0.04.Keywords
This publication has 12 references indexed in Scilit:
- Scaling and crossover in the one-dimensional true self-avoiding walkJournal of Physics A: General Physics, 1984
- Spiral self-avoiding walksJournal of Physics A: General Physics, 1983
- Corrections to scaling in self-avoiding walksPhysical Review A, 1983
- Critical dimensionality and exponent of the "true" self-avoiding walkPhysical Review B, 1983
- Asymptotic behavior of the "true" self-avoiding walkPhysical Review B, 1983
- The critical behaviour of two-dimensional self-avoiding random walksZeitschrift für Physik B Condensed Matter, 1982
- Polymers and scalingPhysics Reports, 1976
- The end-to-end length distribution of self-avoiding walksJournal of Physics A: Mathematical, Nuclear and General, 1973
- Shape of self-avoiding walk or polymer chainJournal of Physics A: General Physics, 1971
- The end-point distribution of self-avoiding walks on a crystal latticeJournal of Physics A: General Physics, 1971