Theory of self-avoiding walks on percolation fractals |
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Authors: | A. K. Roy A. Blumen |
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Affiliation: | (1) Physikalisches Institut and BIMF, University of Bayreuth, D-8580 Bayreuth, Federal Republic of Germany |
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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.On leave from Santipur College, Nadia 741404, India. |
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Keywords: | Self-avoiding walks percolation fractals random walks shortest path |
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