Self-avoiding walks on Sierpinski carpets

Self-avoiding random walks on Sierpinski carpets with different fractal dimensionalities (FDs) were simulated. The results indicate that the scaling property of walks remains; however, the power exponents are modified by the FDs of the carpets on which the walker is placed.

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Bibliographic Details
Published inPhysics letters. A Vol. 177; no. 3; pp. 279 - 281
Main Authors Zhu, Yang-Ming, Lu, Zu-Hong, Wei, Yu
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 14.06.1993
Elsevier Science
Subjects
Applied sciences
Exact sciences and technology
Organic polymers
Physicochemistry of polymers
Properties and characterization
Structure, morphology and analysis
Polymer
Self avoiding walk
Sierpinski carpets
Fractal dimension
Random walk
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Summary:Self-avoiding random walks on Sierpinski carpets with different fractal dimensionalities (FDs) were simulated. The results indicate that the scaling property of walks remains; however, the power exponents are modified by the FDs of the carpets on which the walker is placed.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(93)90041-W