2003/06/23 by M. S. Bharathi, G. Ananthakrishna
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Chaotic #Complex Systems and Time Series Analysis #Computer science #Context (archaeology) #Crossover #Exponent #Flow (mathematics) #Geometry #Lyapunov exponent #Mathematics #Mechanics #Physics #Power law #Protein Structure and Dynamics #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.mtrl-sci #nlin.CD
paper · pdf · doi:10.1103/physreve.67.065104
5 pages, 3 figures. In print in Phy. Rev. E Rapid Communications
arxiv created 2003/06/23 · openalex publication_date 2003/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 regime, most of them are pushed to the threshold of unpinning in the scaling regime, thus providing an insight into the mechanism of crossover.