Diffusion on non exactly decimable tree-like fractals

Details Diffusion on non exactly decimable tree-like fractals Diffusion on non exactly decimable tree-like fractals

1997-10-10

arxiv.org/abs/cond-mat/9710103v1

Physics

Condensed Matter

Statistical Mechanics

5 pages Latex, 3 figures (figures are poscript files)

Scientific paper

10.1088/0305-4470/31/22/006

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.

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