The ideal chain problem in infinitely ramified self-similar structures

Series expansions for the ideal chain problem in Sierpinski carpets were calculated and critical exponents γ < 1 and ν < 12 were obtained with good accuracy. From the scaling properties of the probability of the chain returning to the starting site, it is shown that the ideal chain has asymptotic behaviour different from the random walk problem in those lattices.

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Year of publication:	1994
Authors:	Reis, Fábio D.A. Aarão ; Riera, R.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 208.1994, 3, p. 322-335
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011058741