One-dimensional “turbulence” in a discrete lattice

DOI10.1063/1.1530991zbMath1080.76536OpenAlexW2065099679WikidataQ73458578 ScholiaQ73458578MaRDI QIDQ5706372

I. Daumont, Michel Peyrard

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1530991

zbMATH Keywords

Fourier spaceprobability distribution functionanharmonic oscillators

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Particle methods and lattice-gas methods (76M28) Turbulence (76F99)

Related Items (4)

The statistical distributions of one-dimensional \`\` turbulence\'\' ⋮ Dynamics of nonlinear waves in a Burridge and Knopoff model for earthquake with long-range interactions, velocity-dependent and hydrodynamics friction forces ⋮ Nonlinear dynamics of damped DNA systems with long-range interactions ⋮ On the energy transfer to small scales in a discrete model of one-dimensional turbulence

Cites Work

• Strained spiral vortex model for turbulent fine structure
• Modulational instability: first step towards energy localization in nonlinear lattices
• A small-scale turbulence model
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

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