THE IDEAL CHAIN PROBLEM IN INFINITELY RAMIFIED SELF-SIMILAR STRUCTURES

Authors
REIS FDAA RIERA R
Citation
Fdaa. Reis et R. Riera, THE IDEAL CHAIN PROBLEM IN INFINITELY RAMIFIED SELF-SIMILAR STRUCTURES, Physica. A, 208(3-4), 1994, pp. 322-335
Citations number
16
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
208
Issue
3-4
Year of publication
1994
Pages
322 - 335
Database
ISI
SICI code
0378-4371(1994)208:3-4<322:TICPII>2.0.ZU;2-Z
Abstract
Series expansions for the ideal chain problem in Sierpinski carpets we re calculated and critical exponents gamma < 1 and nu < 1/2 were obtai ned with good accuracy. From the scaling properties of the probability of the chain returning to the starting site, it is shown that the ide al chain has asymptotic behaviour different from the random walk probl em in those lattices.