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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-1946
DTSTART:20100924T180000Z
DURATION:PT1H0M0S
DTSTAMP:20260419T201707Z
LAST-MODIFIED:20100913T125802Z
LOCATION:5310 Chamberlin
SUMMARY:Weak chaos in the disordered nonlinear Schroedinger chain: des
 truction of Anderson localization by Arnold diffusion\, Condensed Matt
 er Theory Group Lecture\, Denis Basko\, Universite Joseph Fourier & CN
 RS\, Grenoble\, France
DESCRIPTION:I will discuss the long-time equilibration dynamics of a s
 trongly disordered one-dimensional chain of coupled weakly anharmonic 
 classical oscillators\, which is one of the simplest models allowing t
 o study the effect of a classical nonlinearity on the Anderson localiz
 ation. The system has chaotic behavior\, and it is shown that chaos in
  this system has a very particular spatial structure: it can be viewed
  as a dilute gas of chaotic spots. Each chaotic spot corresponds to a 
 stochastic pump which drives the Arnold diffusion of the oscillators s
 urrounding it\, thus leading to their relaxation and thermalization. T
 he most important mechanism of relaxation at long distances is provide
 d by random migration of the chaotic spots along the chain\, which bea
 rs analogy with variable-range hopping of electrons in strongly disord
 ered solids.
URL:https://www.physics.wisc.edu/events/?id=1946
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