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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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This 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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