Clustering Analysis of Periodic Point Vortices with the $L$ Function

Makoto Umeki

doi:10.1143/jpsj.76.043401

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Clustering Analysis of Periodic Point Vortices with the $L$ Function

Makoto Umeki

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Abstract

A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the $L$ function used in point process theory in spatial ecology. It is shown that clustering persists if it is initially clustered like an infinite row or a checkered pattern.

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Makoto Umeki. 2007-03-01. Clustering Analysis of Periodic Point Vortices with the $L$ Function. https://doi.org/10.1143/jpsj.76.043401

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