DIFFUSION ON NONEXACTLY DECIMABLE TREE-LIKE FRACTALS

Authors
BURIONI R CASSI D PIRATI A REGINA S
Citation
R. Burioni et al., DIFFUSION ON NONEXACTLY DECIMABLE TREE-LIKE FRACTALS, Journal of physics. A, mathematical and general, 31(22), 1998, pp. 5013-5019
Citations number
9
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
22
Year of publication
1998
Pages
5013 - 5019
Database
ISI
SICI code
0305-4470(1998)31:22<5013:DONDTF>2.0.ZU;2-E
Abstract
We calculate the spectral dimension of a wide class of tree-like fract als by solving the random walk problem using a new analytical techniqu e, based on invariance under generalized cutting-decimation transforma tions. These fractals are generalizations of the NTD lattices and they are characterized by noninteger spectral dimension equal to or greate r than 2, nonanomalous diffusion laws, dynamical dimension splitting a nd the absence of phase transitions for spin models.