TY - JOUR

T1 - Discrete nonlinear Schrödinger equation dynamics in complex networks

AU - Perakis, F.

AU - Tsironis, G. P.

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2011/1/17

Y1 - 2011/1/17

N2 - We investigate dynamical aspects of the discrete nonlinear Schrödinger equation 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.

AB - We investigate dynamical aspects of the discrete nonlinear Schrödinger equation 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.

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U2 - 10.1016/j.physleta.2010.11.053

DO - 10.1016/j.physleta.2010.11.053

M3 - Article

AN - SCOPUS:78650919343

VL - 375

SP - 676

EP - 679

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3

ER -