Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation

DOI10.1016/j.physd.2009.08.006zbMath1194.34012OpenAlexW1987082546MaRDI QIDQ1038455

Benno Rumpf

Publication date: 18 November 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.08.006

zbMATH Keywords

entropydiscrete nonlinear Schrödinger equationbreathercomplex oscillatorstable and metastable states

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Ordinary lattice differential equations (34A33)

Related Items

Frozen dynamics of a breather induced by an adiabatic invariant ⋮ Wave turbulence and thermalization in one-dimensional chains ⋮ Statistical mechanics of systems with negative temperature ⋮ Relaxation and coarsening of weakly-interacting breathers in a simplified DNLS chain ⋮ Coarsening dynamics in a simplified DNLS model ⋮ Condensation with two constraints and disorder ⋮ Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface ⋮ Localization transition in the discrete nonlinear Schrödinger equation: ensembles inequivalence and negative temperatures ⋮ Ergodicity: How Can It Be Broken?

Cites Work

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• Chaotic breathers of two types in a two-dimensional Morse lattice with an on-site harmonic potential
• Localization and coherence in nonintegrable systems
• Discrete breathers in transient processes and thermal equilibrium
• Discrete breathers in thermal equilibrium: distributions and energy gaps
• Discrete nonlinear Schrödinger approximation of a mixed Klein-Gordon/Fermi-Pasta-Ulam chain: modulational instability and a statistical condition for creation of thermodynamic breathers

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