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

F. Spineanu and Mihaela Vlad

Chaos, Solitons & Fractals, 2015, vol. 81, issue PB, 473-479

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:81:y:2015:i:pb:p:473-479

DOI: 10.1016/j.chaos.2015.05.034

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