Dynamics of Crossover from a Chaotic to a Power Law State in Jerky Flow

Details Dynamics of Crossover from a Chaotic to a Power Law State in Jerky Flow Dynamics of Crossover from a Chaotic to a Power Law State in Jerky Flow

2003-06-23

arxiv.org/abs/cond-mat/0306570v1

Physics

Condensed Matter

Materials Science

5 pages, 3 figures. In print in Phy. Rev. E Rapid Communications

Scientific paper

10.1103/PhysRevE.67.065104

We study the dynamics of an intriguing crossover from a chaotic to a power law state as a function of strain rate within the context of a recently introduced model which reproduces the crossover. While the chaotic regime has a small set of positive Lyapunov exponents, interestingly, the scaling regime has a power law distribution of null exponents which also exhibits a power law. The slow manifold analysis of the model shows that while a large proportion of dislocations are pinned in the chaotic regime, most of them are pushed to the threshold of unpinning in the scaling regime, thus providing insight into the mechanism of crossover.

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