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. (C) 2015 Elsevier Ltd. All rights reserved.
展开▼
