Chaotic and power law turbulent states in jerky flow

Ananthakrishna, G. ; Bharathi, M. S. (2003) Chaotic and power law turbulent states in jerky flow Physica Scripta, 2003 (T106). pp. 82-88. ISSN 0031-8949

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Recent studies on the Portevin-Le Chatelier effect report an intriguing crossover phenomenon from a low dimensional chaotic to an infinite dimensional scale invariant power law regime in experiments on CuAl single crystals and AlMg polycrystals, as a function of strain rate. We devise a fully dynamical model which reproduces this crossover. At low and medium strain rates, the model is chaotic with the structure of the attractor resembling the reconstructed experimental attractor. At high strain rates, power law statistics for the magnitudes and durations of the stress drops emerge as in experiments and concomitantly, the largest Lyapunov exponent is zero.

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Source:Copyright of this article belongs to Royal Swedish Academy of Sciences.
ID Code:529
Deposited On:21 Sep 2010 11:47
Last Modified:12 May 2011 08:46

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