WAVE INTERACTIONS IN LOCALIZING MEDIA — A COIN WITH MANY FACES

DOI10.1142/S0218127411029665zbMath1248.34135arXiv1102.4604OpenAlexW3098336662MaRDI QIDQ3165824

Goran Gligorić, D. O. Krimer, Charalampos Skokos, Sergej Flach, T. V. Laptyeva, J. D. Bodyfelt

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4604

zbMATH Keywords

nonlinearityAnderson localizationdelocalizationkicked rotorAubry-Andréheterogeneous potentialWannier-Starkwave spreading

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics; integrable lattice equations (37K60)

Related Items (9)

Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices ⋮ Frequency Map Analysis of Spatiotemporal Chaos in the Nonlinear Disordered Klein–Gordon Lattice ⋮ Long-time Anderson localization for the nonlinear Schrödinger equation revisited ⋮ Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ Magnon-lattice dynamics in a Heisenberg-Morse model with spin-lattice interaction ⋮ Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics ⋮ Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field ⋮ Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions ⋮ Complex statistics and diffusion in nonlinear disordered particle chains

Cites Work

• Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion
• Discrete nonlinear Schrödinger approximation of a mixed Klein-Gordon/Fermi-Pasta-Ulam chain: modulational instability and a statistical condition for creation of thermodynamic breathers
• Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field
• What Determines the Spreading of a Wave Packet?
• The General Motion of Conduction Electrons in a Uniform Magnetic Field, with Application to the Diamagnetism of Metals
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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