Electronic Resource
Springer
Journal of statistical physics
59 (1990), S. 1581-1588
ISSN:
1572-9613
Keywords:
Self-avoiding walks
;
percolation
;
fractals
;
random walks
;
shortest path
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A phenomenological approach which takes into account the basic geometry and topology of percolation fractal structures and of self-avoiding walks (SAW) is used to derive a new expression for the Flory exponent describing the average radius of gyration of SAWs on fractals. We focus on the radius of gyration and discuss the importance of the intrinsic fractal dimensions of percolation clusters in determining the lower and upper critical dimensions of SAWs. The mean-field version of our new formula corresponds to the Aharony and Harris expression, who used the standard Flory approach for its derivation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01334765
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