https://doi.org/10.1007/s100510050293
Quasi Bernoulli fluctuations in random and disordered systems
P.O. Box 39953, Ramat-Aviv 61398,
Tel-Aviv, Israel
Corresponding author: a bersh@hotmail.com
Received:
14
April
1998
Accepted:
20
April
1998
Published online: 15 May 1998
It is shown that quasi Bernoulli fluctuations, which appear at a morphological phase transition, can be considered as a statistical basis for multifractal processes with constant multifractal specific heat in a wide class of random and disordered systems. This class contains at least following processes: percolation, diffusion-limited aggregation and corrosion, Lorenz like attractors, and mesoscopic systems with Anderson transition.
PACS: 05.40. +j – Fluctuation phenomena, random processes, and Brownian motion / 05.45. +b – Theory and models of chaotic systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998