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Title

DNLS in Complex Networks

Author

Περάκης, Φοίβος

Thesis advisor

Τσιρώνης, Γεώργιος

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).

Language

English

Subject

Classical Case

Linear Case

Neighbor Limit

Nonlinear Case

Numerics

Issue date

2008-11-21

Collection

School/Department--School of Sciences and Engineering--Department of Physics--Graduate theses