Mean square endpoint separation of off-lattice self-avoiding walks

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)220-225
Number of pages6
JournalThe Journal of chemical physics
Volume58
Issue number1
StatePublished - 1973

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Dimerization
dimerization

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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Mean square endpoint separation of off-lattice self-avoiding walks. / Grishman, Ralph.

In: The Journal of chemical physics, Vol. 58, No. 1, 1973, p. 220-225.

Research output: Contribution to journalArticle

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