Statistical physics of intermittency: Phase transitions and fluctuations of scaling indices

Shinichi Sato and Katsuya Honda
Phys. Rev. A 42, 3233 – Published 1 September 1990
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Abstract

We propose a new statistical-mechanical formalism to extract the multifractal structure from intermittent phenomena. A simple stochastic model reproducing universal properties of intermittency is solved rigorously, and phase transitions associated with the spectrum of the generalized entropies are studied. We also apply the formalism to the logistic map near the critical point for a period-three cycle. The results are in good agreement with numerical results.

  • Received 22 November 1989

DOI:https://doi.org/10.1103/PhysRevA.42.3233

©1990 American Physical Society

Authors & Affiliations

Shinichi Sato

  • Department of Physics, Faculty of Liberal Arts, Shizuoka University, 836 Ohya, Shizuoka 422, Japan

Katsuya Honda

  • Department of Applied Physics, Faculty of Engineering, Nagoya University, Nagoya 464, Japan

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Vol. 42, Iss. 6 — September 1990

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