Mitsusada M. Sano

Kinetic theory of point vortex systems from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy.

Kinetic equations are derived from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for point vortex systems in an infinite plane. At the level of approximation for the Landau equation, the collision term of the kinetic equation derived coincides with that by Chavanis [Phys. Rev. E 64, 026309 (2001)]. Furthermore, we derive a kinetic equation corresponding to the Balescu-Lenard equation for plasmas using the theory of the Fredholm integral equation. For large N , this kinetic equation is reduced to the Landau equation above.

The classical Coulomb three-body problem in the collinear eZe configuration

Classical dynamics of two-electron atom and ions H

Numerical Simulation of Vortex Crystals and Merging in N-Point Vortex Systems with Circular Boundary

^{-}

Statistical properties of actions of periodic orbits

, He, Li

Kinetic Theory of Dawson Plasma Sheet Model

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Velocity Correlation Function of the One-Dimensional Self-Gravitating System

, Be

Irreversible Circulation of Fluctuation and Entropy Production

^{2+}

Statistical mechanical estimate of energy spectrum for N-point vortex systems

,... in collinear eZe configuration is investigated. It is revealed that the mass ratio

Steady Thermal Conduction Far From Equilibrium in Ding-Dong Model

\xi

Dynamics of two-sign point vortices in positive and negative temperature states

between necleus and electron plays an important role for dynamical behaviour of these systems. With the aid of analytical tool and numeircal computation, it is shown that thanks to large mass ratio