کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1888441 | 1043696 | 2015 | 7 صفحه PDF | دانلود رایگان |
• The objective is to understand the self-organization of the vorticity in 2D fluids.
• We compare two approaches: statistical and field theoretical.
• The Field Theoretical formulation offers a wide range of developments.
• We suggest a connection between self-duality and statistical equilibrium.
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.
Journal: Chaos, Solitons & Fractals - Volume 81, Part B, December 2015, Pages 473–479