Long Time Behaviors of Orbits in Symplectic Map with Many Degrees of Freedom : General and Mathematical Physics

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概要

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• Long time behaviors of orbits are investigated for a symplectic map p(t+1)=p(t)-∇_qU(q(t)), q(t+1)=q(t)+p(t+1) with many degrees of freedom focusing on asymptotic distributions realized by a single orbit. The orbits are classified by means of a static quantity which is closely related to ergodicity in the Hamiltonian phase flows. It is found numerically that single orbit in a class produces the Maxwell-Boltzmann distribution or the Gibbs' canonical ditribution in 1-D subspaces.

• 理論物理学刊行会の論文
• 1989-08-25

著者

• Akiyama Shinji

  Department Of Clinical Pharmaceutical Science Graduate School Of Medicine Dentistry And Pharmaceutic

• Akiyama Shinji

  Department Of Physics Kyoto University

• AKIYAMA Shinji

  Department of Physics, Kyoto University

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• Long Time Behaviors of Orbits in Symplectic Map with Many Degrees of Freedom : General and Mathematical Physics

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