This paper is devoted to an heuristic discussion of the merging mechanism between two clusters of point vortices, supported by some numerical simulations. A concept of renormalized Onsager function is introduced, elaboration of the solutions of the mean field equation. It is used to understand the shape of the single cluster observed as a result of the merging process. Potential implications for the inverse cascade 2D turbulence are discussed.

中文翻译：

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重整化的 Onsager 函数和涡旋星团的合并

本文致力于启发式讨论两个点涡簇之间的合并机制，并得到一些数值模拟的支持。引入了重整化Onsager函数的概念，阐述了平均场方程的解。它用于了解由于合并过程而观察到的单个集群的形状。讨论了反级联二维湍流的潜在影响。