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Title |
DNLS in Complex Networks |
Author
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Περάκης, Φοίβος
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Thesis advisor
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Τσιρώνης, Γεώργιος
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Abstract |
We investigate numerically dynamic aspects of the discrete nonlinear Scrodinger equation
(DNLS). We begin from a finite chain with periodic boundary conditions, where
all the sites of the system are connected only to their nearest neighbors (NN). Then we
insert complexity to that system, via the small-world networks concept, in the form of
“distant connections”, until we reach mean field limit (MF), where each site is connected
to all the other sites of the system. The initial condition used is that which
places the particle on one lattice site and the main quantity studied is the time averaged
probability for the particle to remain in that site. We observe the in the NN limit the
probability remains at the initial site above some values of the nonlinear parameter of
DNLS (self-trapping), while in the MF limit the probability localizes again, this time
because of the system’s structure (symmetric lattice).
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Language |
English |
Subject |
Classical Case |
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Linear Case |
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Neighbor Limit |
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Nonlinear Case |
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Numerics |
Issue date |
2008-11-21 |
Collection
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School/Department--School of Sciences and Engineering--Department of Physics--Graduate theses
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Type of Work--Graduate theses
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Notes |
Μόνο σε ηλεκτρονική μορφή |
Permanent Link |
https://elocus.lib.uoc.gr//dlib/4/c/1/metadata-dlib-1363950870-372822-29582.tkl
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Views |
135 |