Physical Review Letters · 2001 · 116 citations · 18 references
Natural SciencesMaterials EngineeringMaterials ScienceCrystal StructureDynamical SystemsMechanical Behavior Of MaterialsChaos TheoryCritical PhenomenaDislocation MechanicsDislocation TheoryStrain HardeningDislocation DynamicsDislocation MotionFractal AnalysisMultifractal ProcessesMultifractal SpectrumSelf-organized CriticalitySpatiotemporal DynamicsStatistical Dislocation Mechanics
The collective behavior of dislocations in jerky flow is studied in Al-Mg polycrystalline samples subjected to constant strain rate tests. Complementary dynamical, statistical, and multifractal analyses are carried out on the stress-time series recorded during jerky flow to characterize the distinct spatiotemporal dynamical regimes. It is shown that the hopping type B and the propagating type A bands correspond to chaotic and self-organized critical states, respectively. The crossover between these types of bands is identified by a large spread in the multifractal spectrum. These results are interpreted on the basis of competing scales and mechanisms.
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Absence of Diffusion in Certain Random Lattices
P. W. Anderson · Physical Review · 1958 · 12.3K citations
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Dislocations and Plastic Flow in Crystals
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