Cutting-Decimation Renormalization for diffusive and vibrational dynamics on fractals

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Recently, we pointed out that on a class on non exactly decimable fractals two different parameters are required to describe diffusive and vibrational dynamics. This phenomenon we call dynamical dimension splitting is related to the lack of exact decimation invariance for these structures, which turn out to be invariant under a more complex cutting-decimation transform. In this paper we study in details the dynamical dimension splitting on these fractals analyzing the mathematical properties of the cutting-decimation transform. Our results clarify how the splitting arises from the cutting transform and show that the dynamical dimension degeneration is a very peculiar consequence of exact decimability.
10 pages Latex, 3 figures (figures are postscript files)

Keywords

Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/27842

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9710273
 http://arxiv.org/abs/cond-mat/9710273

Collections

arXiv