The critical behaviour of two-dimensional self-avoiding random walks View Full Text


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Article Info

DATE

1982-09

AUTHORS

P. Grassberger

ABSTRACT

We present exact results for the mean end-to-end distance of self-avoiding random walks on several planar lattices. For the square lattice, we extend the known results from walks with ≦20 steps to walks with ≦22 steps, and for the triagular lattice from 14 to 16 steps. For the honeycomb lattice we went up to 34 steps, for the two-choice square lattice up to 44 steps, and for the 4-choice triagular lattice up to 19 steps. The extrapolated valuev=0.747±0.001 (provided the correction-to-scalng exponent is not appreaciably smaller than unity) is in disagreement with both Flory's value and the recent estimate of Derrida. We claim that a different analysis of Derrida's data supports this value. More... »

PAGES

255-260

References to SciGraph publications

  • 1981-12. Monte Carlo renormalization of hard sphere polymer chains in two to five dimensions in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
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    http://scigraph.springernature.com/pub.10.1007/bf01420588

    DOI

    http://dx.doi.org/10.1007/bf01420588

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