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

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

2006-08-28

arxiv.org/abs/physics/0608266v4

JPSJ Vol. 76 No. 4 (2007) p. 043401

Physics

Fluid Dynamics

4 pages, 12 figures, to appear in JPSJ

Scientific paper

10.1143/JPSJ.76.043401

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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