INVESTIGADORES
FABRICIUS Gabriel
artículos
Título:
Random walks in fractal media: a theoretical evaluation of the periodicity of the oscillations in dynamic observables
Autor/es:
ALBERTO MALTZ; GABRIEL FABRICIUS; MARISA BAB; EZEQUIEL ALBANO
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2008 vol. 41 p. 495004 - 495016
ISSN:
1751-8113
Resumen:
In this work we address the time evolution of random walks on a special
type of Sierpinski carpets, which we call walk similar (WS). By
considering highly symmetric fractals (symmetrically self-similar
graphs (SSG)), very recently Krön and Teufl (2003 Trans. Am. Math. Soc. 356
393) have developed a technique based on the fact that the random walk
gives rise to an equivalent process in a similar subset. The method is
used in order to obtain the time scaling factor (τ) as the average
passing time (APT) of the walker from a site in the subset to any
different site in the subset. For SSG, the APT is independent of the
starting point. In the present work we generalize this technique under
the less stringent symmetry conditions of the WS carpets, such that the
APT depends on the starting point. Therefore, we calculate exactly the
weighted APT . By performing Monte Carlo simulations on several WS carpets we verify that plays the role of τ by setting the logarithmic period of the oscillatory asymptotic behaviour of dynamic observables.