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

Ralph Grishman

Research output: Contribution to journalArticlepeer-review

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
DOIs
StatePublished - 1973

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry

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