Feb 14, 2002
Viscous Fingering and a Shape of an Electronic Droplet in the Quantum Hall Regime
Dr. Paul Wiegmann, James Franck Institute
Two different phenomena: (a) one classical: finger-like patterns in
diffusion driven fronts, (b) the second is quantum: a pattern of
electronic droplets in Quantum Hall regime, are found to be intimately
related. They are described by the same equations scaled by a factor of
up to 10-9. I will discuss the origin of this relation and
insights into analysis of (a) singularities in nonequilibrium patterns
and (b) interference phenomena at the QHE plateau transitions. The talk
is based on a recent paper written with 0. Agam, E. Bettelheim and A.
Zabrodin.
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