منابع مشابه
Are oceanic rings and jets statistical equilibrium states ?
Oceanic flows have the property to self-organize into large scale coherent structures such as rings (robust vortices) and jets. The concomitant turbulent nature of such flows, and their self-organization property, gives a strong incentive for a statistical mechanics approach. Here we apply equilibrium statistical mechanics theory to a simple ocean model, in order to answer basic questions: What...
متن کاملOceanic rings and jets as statistical equilibrium states
Equilibrium statistical mechanics of two-dimensional flows provides an explanation and a prediction for the self-organization of large scale coherent structures. This theory is applied in this paper to the description of oceanic rings and jets, in the framework of a 1.5 layer quasi-geostrophic model. The theory predicts the spontaneous formation of regions where the potential vorticity is homog...
متن کاملUniqueness of equilibrium on rings
We consider congestion games on networks with nonatomic users and user-specific costs. We are interested in the uniqueness property defined by Milchtaich [Milchtaich, I. 2005. Topological conditions for uniqueness of equilibrium in networks. Math. Oper. Res. 30 225-244] as the uniqueness of equilibrium flows for all assignments of strictly increasing cost functions. He settled the case with two...
متن کاملFluctuating elastic rings: statics and dynamics.
We study the effects of thermal fluctuations on elastic rings. Analytical expressions are derived for correlation functions of Euler angles, mean-square distance between points on the ring contour, radius of gyration, and probability distribution of writhe fluctuations. Since fluctuation amplitudes diverge in the limit of vanishing twist rigidity, twist elasticity is essential for the descripti...
متن کاملEquilibrium shapes of planar elastic membranes.
Using a rod theory formulation, we derive equations of state for a thin elastic membrane subjected to several different boundary conditions-clamped, simply supported, and periodic. The former is applicable to membranes supported on a softer substrate and subjected to uniaxial compression. We show that a wider family of quasistatic equilibrium shapes exist beyond the previously obtained analytic...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1967
ISSN: 0022-247X
DOI: 10.1016/0022-247x(67)90182-5