Ten thousand off-lattice self-avoiding walks of 500 steps were generated using a new algorithm combining the features of the enrichment procedure of Wall and Erpenbeck and the dimerization procedure of Alexandrowicz. The mean square endpoint separation was tabulated as a function of the number of steps in the walk and fitted to the equation <R 2N > =A N γ, where N is the number of steps in the walk. A value for γ of 1.204-40.014 was obtained, in excellent agreement with values for on-lattice walks. Earlier investigators using off-lattice self-avoiding walks probably obtained higher values of γ because they were limited to 100-step walks.
ASJC Scopus subject areas
- General Physics and Astronomy
- Physical and Theoretical Chemistry