NDLI: Directed self-avoiding walks on Sierpinski carpets: series results

Content Provider	Scilit
Author	Reis, F. D. A. A. Riera, R.
Copyright Year	1995
Description	Journal: Journal of Physics A: General Physics Using a graph counting technique suitable for self-similar fractals we obtain the exact densities of partially (PDSAW) and fully (FDSAW) directed self-avoiding walks on Sierpinski carpets. From them we calculate the root-mean-square transverse and longitudinal displacements of the n-step walks up to n=20 for PDSAWS and up to n=23 for FDSAWS. The critical exponents nu perpendicular to found for the PDSAW depend on the fractal dimension as well as on the lacunarity of the lattice. The results indicate that PDSAWS and FDSAWS have different critical behaviour on the same carpet.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/28/5/014/pdf
Ending Page	1270
Page Count	14
Starting Page	1257
ISSN	00223689
DOI	10.1088/0305-4470/28/5/014
Journal	Journal of Physics A: General Physics
Issue Number	5
Volume Number	28
Language	English
Publisher	IOP Publishing
Publisher Date	1995-03-07
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Mathematical Physics Critical Exponent Self Avoiding Walk Root Mean Square Fractal Dimension
Content Type	Text
Resource Type	Article

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Directed self-avoiding walks on Sierpinski carpets: series results