Quasi Bernoulli fluctuations in random and disordered systems
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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