Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
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V Diffusion of a Wavepacket in nonlinear random<br />
Arrays: Early numerical investigation<br />
When linear modes are localized (Anderson localization)<br />
no diffusion but nonlinearity couples the linear Anderson modes<br />
Then, energy diffusion?<br />
Many early works conclude subdiffusion!<br />
Bourbonnay-Maynard (1990) (random FPU)<br />
Shepelyansky (1994), Molina (1997)…. (DNLS)<br />
Snyder-Kirpatrick(random FPU) (2006)<br />
Pikovsky-Shepeliansky(2008)<br />
Numerical investigation of the second moment versus time<br />
Diffusion is subcritical t α<br />
where α ~ 2/5 (Shepelyansky) … 0.27 (Molina) etc....<br />
<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />
LLB, FRANCE
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