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Medeiros JT, Simões AS. Heuristic model for the energy spectrum of phase turbulence. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(5):057301doi: 10.1103/PhysRevE.64.057301.
Medeiros, J. T., & Simões, A. S. (2001). Heuristic model for the energy spectrum of phase turbulence. Physical review. E, Statistical, nonlinear, and soft matter physics, 64(5), 057301. https://doi.org/10.1103/PhysRevE.64.057301
Medeiros, J T, and Simões, A S. "Heuristic model for the energy spectrum of phase turbulence." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 64,5 (2001): 057301. doi: https://doi.org/10.1103/PhysRevE.64.057301
Medeiros JT, Simões AS. Heuristic model for the energy spectrum of phase turbulence. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5):057301. doi: 10.1103/PhysRevE.64.057301. Epub 2001 Oct 30. PMID: 11736148.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5):057301. doi: 10.1103/PhysRevE.64.057301. Epub 2001 Oct 30.

Heuristic model for the energy spectrum of phase turbulence.

Physical review. E, Statistical, nonlinear, and soft matter physics

J T Medeiros, A S Simões

Affiliations

  1. Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, RS, Brazil.

PMID: 11736148 DOI: 10.1103/PhysRevE.64.057301

Abstract

We present a heuristic model for the energy spectrum of the one-dimensional phase turbulence in the steady state of the Kuramoto-Sivashinsky equation. Our model contains an energy transfer mechanism from low- to high-wave-vector modes. The energy transfer is written as the sum of local and nonlocal interactions. Our analytical results show good agreement with numerical simulations, particularly for the hump in the energy spectrum, which is mainly due to the local interactions.

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