二维流体力学中Onsager涡的维里定理
Virial theorem for Onsager vortices in two-dimensional hydrodynamics
摘要：
我们推导了微正则系综和正则系综中二维点涡在统计平衡时的维里定理。在无界区域，它将角速度与角动量和温度联系起来。我们的表达式是有效的任意数量的点涡可能不同的物种。在单组分情况下，在平均场近似下，它归结为J. H. Williamson [J.等离子体物理17，85（1977）]。
英文摘要：
We derive the virial theorem appropriate to two-dimensional point vortices at statistical equilibrium in the microcanonical and canonical ensembles. In an unbounded domain, it relates the angular velocity to the angular momentum and the temperature. Our expression is valid for an arbitrary number of point vortices of possibly different species. In the single-species case, and in the mean field approximation, it reduces to the relation empirically obtained by J.H. Williamson [J. Plasma Physics 17, 85 (1977)].
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