Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
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What is the long time behavior of an initially localized wavepacket<br />
1-Does it spread to zero amplitude (diffusion)?<br />
2- does it remain localized (absence of diffusion)?<br />
3- Does a part of the energy spread and another part remains localized?<br />
The answer is known in linear systems<br />
Diffusion if the linear spectrum is continuous<br />
Absence of diffusion when the linear spectrum is purely discrete<br />
(for example in disordered systems with Anderson localization)<br />
Nonlinear systems?<br />
<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />
LLB, FRANCE
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