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Dynamical process

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  • Ovchinnikov, A.A.
  • Atrazhev, V.V.

Abstract

The self-locking of self-avoiding walks (SAWs) on a three-dimensional cubic lattice was numerically and analytically studied. It was shown that self-locking in three-dimensional space is a local effect and is not related to the entanglement of a walk in a ball. The lenght distribution P(l) of the SAW's trajectory before self-locking was numerically obtained. P(l) can be approximated by the formula P(l) = const.lγexp(−l/a). The estimation of a was obtained analytically considering the self-locking as a local effect, and it is of the same order of magnitude as the value obtained numerically.

Suggested Citation

  • Ovchinnikov, A.A. & Atrazhev, V.V., 1997. "Dynamical process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 331-337.
    • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:331-337
    DOI: 10.1016/S0378-4371(97)00379-8
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