Multifractality of self-avoiding walks on percolation clusters.

Multifractality of self-avoiding walks on percolation clusters. Research Abstract Details 

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Multifractality of self-avoiding walks on percolation clusters. Abstract Text:

We consider self-avoiding walks on the backbone of percolation clusters in space dimensions d=2,3,4. Applying numerical simulations, we show that the whole multifractal spectrum of singularities emerges in exploring the peculiarities of the model. We obtain estimates for the set of critical exponents that govern scaling laws of higher moments of the distribution of percolation cluster sites visited by self-avoiding walks, in a good correspondence with an appropriately summed field-theoretical epsilon=6-d expansion [H.-K. Janssen and O. Stenull, Phys. Rev. E 75, 020801(R) (2007)10.1103/PhysRevE.75.020801].

Multifractality of self-avoiding walks on percolation clusters. Publishing Authors By Initials

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Multifractality of self-avoiding walks on percolation clusters. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Physical review letters

VOLUME: 101

Page Numbers: 125701

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ISSN: 0031-9007

DAY: 18

MONTH: 09

YEAR: 2008

Multifractality of self-avoiding walks on percolation clusters. Information

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LANGUAGE: eng

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Grant and Affiliation Information for Multifractality of self-avoiding walks on percolation clusters.

AFFILIATION: Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany and Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 79011 Lviv, Ukraine.

Country: United States

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MEDLINETA: Phys Rev Lett

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