Τσιρώνης, ΓεώργιοςΠεράκης, Φοίβος2008-11-21We 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).http://elocus.lib.uoc.gr:443/dlib/4/c/1/metadata-dlib-1363950870-372822-29582.tklengΣχολή/Τμήμα--Σχολή Θετικών και Τεχνολογικών Επιστημών--Τμήμα Φυσικής--Πτυχιακές εργασίεςLinear CaseNonlinear CaseClassical CaseNumericsNeighbor LimitDNLS in Complex NetworkstextΤύπος Εργασίας--Πτυχιακές εργασίεςΠτυχιακή εργασίαBachelor thesisΠανεπιστήμιο ΚρήτηςGreek Aggregator OpenArchives.gr | Nationalother