### 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 ^{2}_{N} > =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 language | English (US) |
---|---|

Pages (from-to) | 220-225 |

Number of pages | 6 |

Journal | The Journal of chemical physics |

Volume | 58 |

Issue number | 1 |

State | Published - 1973 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of chemical physics*,

*58*(1), 220-225.

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

Research output: Contribution to journal › Article

*The Journal of chemical physics*, vol. 58, no. 1, pp. 220-225.

}

TY - JOUR

T1 - Mean square endpoint separation of off-lattice self-avoiding walks

AU - Grishman, Ralph

PY - 1973

Y1 - 1973

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36849103469&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36849103469&partnerID=8YFLogxK

M3 - Article

VL - 58

SP - 220

EP - 225

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 1

ER -