2009/09/30 by Fivos Perakis, F. Perakis, G. P. Tsironis · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Delocalized electron #Lattice (music) #Limit (mathematics) #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear system #Physics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.dis-nn
paper · pdf · doi:10.1016/j.physleta.2010.11.053
published as F.Perakis, G.P.Tsironis, Physics Letters A 375 (2011) 676-679 · 5 pages, 5 figures
openalex publication_date 2010/11/24 · arxiv created 2011/01/26 · arxiv updated 2011/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate dynamical aspects of the discrete nonlinear Schrödinger equation (DNLS) in finite lattices. Starting from a periodic chain with nearest neighbor interactions, we insert randomly links connecting distant pairs of sites across the lattice. Using localized initial conditions we focus on the time averaged probability of occupation of the initial site as a function of the degree of complexity of the lattice and nonlinearity. We observe that selftrapping occurs at increasingly larger values of the nonlinearity parameter as the lattice connectivity increases, while close to the fully coupled network limit, localization becomes more preferred. For nonlinearity values above a certain threshold we find a reentrant localization transition, viz. localization when the number of long distant bonds is small followed by delocalization and enhanced transport at intermediate bond numbers while close to the fully connected limit localization reappears.