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Serge Aubry - Physics Department . Technion

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Subdiffusion was claimed only on<br />

the base of the second moment divergency<br />

(not clear numerically poorly defined exponents)<br />

Remark: Divergency of the second moment does not<br />

implies diffusion at all!!!!!<br />

Counter example: The second moment of a wavepacket<br />

in a linear harmonic chain of atoms coupled by<br />

random springs diverges as t 1/2<br />

but there is no diffusion because of Anderson localization<br />

Coll: Analytic estimations R. Schilling, S. Lepri and SA<br />

<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />

LLB, FRANCE

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