Periodic Orbits and Binary Collisions in the Classical Coulomb Three-Body Problem (2008)
Sano, Mitsusada M., Tanikawa, Kiyotaka
In the helium case of the classical Coulomb three-body problem in two dimensions with zero angular momentum, we develop a procedure to find periodic orbits applying two symbolic dynamics for...
The Steady State Distribution of the Master Equation (2008)
The steady states of the master equation are investigated. We give two expressions for the steady state distribution of the master equation a la the Zubarev-McLennan steady state distribution, i.e.,...
Irreversible Circulation of Fluctuation and Entropy Production (2007)
Tomita, Hiroyuki, Sano, Mitsusada M.
Physical and chemical stochastic processes described by the master equation are investigated. In this paper, we examine the entropy production both for the master equation and for the corresponding...
Kinetic theory of point vortex systems from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy (2007)
Kinetic theory of point vortex systems from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy (2007)
Kinetic equations are derived from the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for point vortex systems in an infinite plane. As the level of approximation for the Landau equation, the...
Dynamics of two-sign point vortices in positive and negative temperature states (2006)
Yatsuyanagi, Yuichi, Kiwamoto, Yasuhito, Tomita, Hiroyuki, Sano, Mitsusada M., Yoshida, Takeshi, Ebisuzaki, Toshikazu
Dynamics of Two-Sign Point Vortices in Positive and Negative Temperature States (2006)
Yatsuyanagi, Yuichi, Kiwamoto, Yasuhito, Tomita, Hiroyuki, Sano, Mitsusada M., Yoshida, Takeshi, Ebisuzaki, Toshikazu
Yoshida, Takeshi, Sano, Mitsusada M.
In two-dimensional (2D) inviscid incompressible flow, low background vorticity distribution accelerates intense vortices (clumps) to merge each other and to array in the symmetric pattern which is...
Classical Coulomb three-body problem in collinear eZe configuration (2003)
Classical dynamics of two-electron atom and ions H$^{-}$, He, Li$^{+}$, Be$^{2+}$,... in collinear eZe configuration is investigated. It is revealed that the mass ratio $\xi$ between necleus and...