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Self-organization of the vorticity field in two-dimensional quasi-ideal fluids: The statistical and field-theoretical formulations

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  • Spineanu, F.
  • Vlad, M.

Abstract

The natural tendency of the quasi-ideal two-dimensional fluid to evolve by self-organization to highly coherent flow patterns can be formulated as a statistical and as a field theoretical problem. We show that both can derive the asymptotic ordered flows as solutions of the sinh-Poisson equation but the two approaches are different in their possibilities to describe the dynamic phase of the vorticity self-organization. This comparison suggests that, at least for relaxation phenomena, the statistical equilibrium and the geometric-algebraic property of self-duality are two aspects of aspects of the same reality.

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  • Spineanu, F. & Vlad, M., 2015. "Self-organization of the vorticity field in two-dimensional quasi-ideal fluids: The statistical and field-theoretical formulations," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 473-479.
    • Handle: RePEc:eee:chsofr:v:81:y:2015:i:pb:p:473-479
    DOI: 10.1016/j.chaos.2015.05.034
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    1. Xiao-Jun Yang & Jordan Hristov & H. M. Srivastava & Bashir Ahmad, 2014. "Modelling Fractal Waves on Shallow Water Surfaces via Local Fractional Korteweg-de Vries Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    2. Tarasov, Vasily E., 2014. "Flow of fractal fluid in pipes: Non-integer dimensional space approach," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 26-37.
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    Cited by:

    1. Scharf, Yael, 2017. "A chaotic outlook on biological systems," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 42-47.

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