Clustering of point vortices in a periodic box

Abstract

The Monte Carlo simulation of $N$ point vortices with square periodic boundary conditions is performed where $N$ is order of 100. The clustering property is examined by computing the $L$ function familiar in the field of spatial ecology. The case of a positive value of $L$ corresponds to the state of clustering and the Onsager's negative temperature.

2 pages, 7 figures, submitted for the ICIAM07 proceedings