Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion Serge Aubry - Physics Department . Technion
Participation number of norm distribution in Anderson space for the random DNLS model and for different amplitudes of the single Anderson mode initial wave packet Serge Aubry, Aubry, LLB, FRANCE
3 orders of magnitude longer time of evolutions Serge Aubry, Aubry, LLB, FRANCE Second moment Participation number The second moment versus time seems to diverge. The participation number does not! e n = energy density in Anderson space for KG e n =|Ψ n | 2 for DNLS
- Page 1 and 2: Suppression of Energy Diffusion in
- Page 3 and 4: I-Nonlinear spatially periodic syst
- Page 5 and 6: Initial wavepacket Time periodic so
- Page 7 and 8: II- Exact Time Periodic Solutions (
- Page 9 and 10: Numerical Calculation of Localized
- Page 11 and 12: RDNLS: a straightforward proof of e
- Page 13 and 14: Anderson Representation of DNLS nor
- Page 15: Quasiperiodic Periodic Solutions: B
- Page 18 and 19: The probability to find an initial
- Page 20 and 21: Assume the wavepacket spreads unifo
- Page 22 and 23: Example: What is the behavior of a
- Page 24 and 25: V Diffusion of a Wavepacket in nonl
- Page 26 and 27: There are initial conditions with n
- Page 28 and 29: VI-New Numerical Investigations G.
- Page 30 and 31: Serge Aubry, Aubry, LLB, FRANCE t=1
- Page 34 and 35: Serge Aubry, Aubry, LLB, FRANCE Tim
- Page 36 and 37: Scenario for the Absence of spreadi
- Page 38 and 39: Warning about the problem of reliab
- Page 40 and 41: VII Summary and concluding remarks
3 orders of magnitude<br />
longer time of evolutions<br />
<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />
LLB, FRANCE<br />
Second moment<br />
Participation number<br />
The second moment<br />
versus time seems to diverge.<br />
The participation number<br />
does not!<br />
e n = energy density in<br />
Anderson space for KG<br />
e n =|Ψ n | 2 for DNLS
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