Diffusion on non exactly decimable tree-like fractals
统计力学
2009-10-30 v1
摘要
We calculate the spectral dimension of a wide class of tree-like fractals by solving the random walk problem through a new analytical technique, based on invariance under generalized cutting-decimation transformations. These fractals are generalizations of the NTD lattices and they are characterized by non integer spectral dimension equal or greater then 2, non anomalous diffusion laws, dynamical dimension splitting and absence of phase transitions for spin models.
引用
@article{arxiv.cond-mat/9710103,
title = {Diffusion on non exactly decimable tree-like fractals},
author = {Raffaella Burioni and Davide Cassi and Alberto Pirati and Sofia Regina},
journal= {arXiv preprint arXiv:cond-mat/9710103},
year = {2009}
}
备注
5 pages Latex, 3 figures (figures are poscript files)