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Clustering Analysis of Periodic Point Vortices with the L Function
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| Journal of the Physical Society of Japan |
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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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point vortex, two-dimensional turbulence, L function, point process theory
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