Dynamics of crossover from a chaotic to a power-law state in jerky flow.

@article{Bharathi2003DynamicsOC,
  title={Dynamics of crossover from a chaotic to a power-law state in jerky flow.},
  author={M. S. Bharathi and G. Ananthakrishna},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 6 Pt 2},
  pages={
          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 that 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… Expand
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