DYNAMICAL DIMENSION SPLITTING ON FRACTALS: STRUCTURES WITH DIFFERENT DIFFUSIVE AND VIBRATIONAL SPECTRAL DIMENSIONS

Author:

BURIONI RAFFAELLA1,CASSI DAVIDE2,REGINA SOFIA2

Affiliation:

1. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, via Celoria 16, 20133 Milano, Italy

2. Dipartimento di Fisica, Università di Parma INFM, Unità di Parma and INFN Gruppo Collegato di Parma, Viale delle Scienze, 43100 Parma, Italy

Abstract

On fractals and inhomogeneous structures that have been studied up to now, a single parameter, the spectral dimension, rules diffusion and vibrational dynamics. However, in principle, two distinct parameters could be necessary to describe the two physical phenomena. In this paper we show the existence of fractal structures where two different spectral dimensions are required. Random walks and vibrational spectrum are studied by renormalization group as well as alternative techniques to obtain the exact values of the dimensions and to clarify the origin of such dynamical dimension splitting.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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