Ananthakrishna, G and Bharathi, MS (2003) Chaotic and Power Law Turbulent States in Jerky Flow. In: Physics of Random Networks, Econophysics and Models of Biophysics and Sociophysics, Mar 20-22 2003, pp. 82-88.
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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.
|Item Type:||Conference Paper|
|Additional Information:||Copyright of this article belongs to Physica Scripta.|
|Department/Centre:||Division of Chemical Sciences > Materials Research Centre|
|Date Deposited:||16 Jul 2007|
|Last Modified:||19 Sep 2010 04:37|
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