The ideal chain problem in infinitely ramified self-similar structures

Fábio D.A.Aarão Reis and R. Riera

Physica A: Statistical Mechanics and its Applications, 1994, vol. 208, issue 3, 322-335

Abstract: 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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:208:y:1994:i:3:p:322-335

DOI: 10.1016/0378-4371(94)00056-5

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