Kinetic theory of two-dimensional point vortex system

Abstract

Diffusion coefficient implicitly included in the point vortex solution for the two-dimensional inviscid Euler equation is examined analytically. This diffusive effect arises from a discrete distribution of the vorticity. The obtained diffusion coefficient is proportional to 1/N^-1/2 in case of single species. It indicates the diffusion coefficient vanishes in the limit of infinite N. It may be consistent that the point vortex is a solution of the inviscid two dimensional Euler equation.