Dynamical process
A.A. Ovchinnikov and
V.V. Atrazhev
Physica A: Statistical Mechanics and its Applications, 1997, vol. 247, issue 1, 331-337
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.
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:247:y:1997:i:1:p:331-337
DOI: 10.1016/S0378-4371(97)00379-8
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