Dynamical process
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.
Year of publication: |
1997
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Authors: | Ovchinnikov, A.A. ; Atrazhev, V.V. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 247.1997, 1, p. 331-337
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Publisher: |
Elsevier |
Saved in:
Online Resource
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