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2008 (EN)
DNLS in Complex Networks

Περάκης, Φοίβος

Τσιρώνης, Γεώργιος

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). (EN)

text
Τύπος Εργασίας--Πτυχιακές εργασίες

Linear Case
Nonlinear Case
Classical Case
Numerics
Neighbor Limit

Πανεπιστήμιο Κρήτης (EL)
University of Crete (EN)

English

2008-11-21


Σχολή/Τμήμα--Σχολή Θετικών και Τεχνολογικών Επιστημών--Τμήμα Φυσικής--Πτυχιακές εργασίες



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