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 uθΪF@Intermittently Flowing Rivers of Quantized Magnetic Flux:  
Vortex Motion, Noisy Fractal Networks, and Flux Avalanches Superconductors.
 u@t@F@Prof. Franco Nori
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 v@|@FThis general talk will be mostly about vortex dynamics and a bit about granular  
media. After a pedagogical introduction, the main ideas and several results will  
be presented, sometimes using videos. A more technical description follows  
below. Vortices in superconductors exhibit a variety of equilibrium phases,  
including liquid, lattice, and glassy states. In addition, vortices might be  
driven, producing several dynamical phases with steady states of plastic and  
elastic motion. We characterize the dynamical instabilities (i.e., flux  
avalanches or cascades producing voltage bursts), as well as the evolution of  
the topological order and vortex flow paths ("vortex streets"  
surrounded by regions of pinned flux). Our analysis of the microscopic spatio-temporal  
dynamics of individual flux-lines in superconductors leads insight to commonly  
measured bulk macroscopic quantities, such as magnetization and critical  
currents. We have studied [1] flux-gradient-driven flux lines (i.e., there is no  
artificial uniform external force on the vortices) as an external field H(t) is  
quasi-statically ramped up and down. We explore a wide variety of relevant  
parameters which are difficult to continuously tune experimentally, such as the  
density, strength, radius, and location of the pinning sites. Our predictions  
(e.g., magnetization hysteresis loops) can be directly compared with  
commonly-measured experimental quantities. We analyze both global (e.g., M(H),  
J_c(H)) and local (e.g.,B(x,y,H(t)), M(x,y,H(t)), J_c(x,y,B)) measurable  
quantities. Our results elucidate the topological order dynamics of a driven  
plastic lattice interacting with a rigid disordered substrate, a problem that  
has recently attracted considerable attention [2].
 [1] C. Reichhardt et al, Phys. Rev. B 52, 10441 (1995); 53, R8898 (1996);  
54, 16108 (1996); Phys. Rev. Lett. 78, 2648 (1997); J. Groth et al, Phys. Rev.  
Lett. 77, 3625 (1996); Olson et al, Phys. Rev. B 56, 6175 (1997); Phys. Rev.  
Lett. 80, 2197 (1998); and preprints.[2] F. Nori, Science 271, 1373 (1996).

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 iTEL 706-6714j
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