Cutting-Decimation Renormalization for diffusive and vibrational dynamics on fractals release_zla73sjlifhnjdchzvutylqbq4

by Raffaella Burioni, Davide Cassi, Sofia Regina

Released as a report .

1997  

Abstract

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.
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Type  report
Stage   submitted
Date   1997-10-24
Version   v1
Language   en ?
Number  UPRF-97-11
arXiv  cond-mat/9710273v1
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