Time average and canonical average of macroscopic variable in classical Hamiltonian system with long-range interaction(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quan
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概要
- 論文の詳細を見る
相互作用距離が1パラメータでコントロールされる大自由度古典ハミルトンカ学系族を調べた.この力学系族の長距離力領域においては,自由エネルギーは熱力学極限で相互作用距離に依らないが,リアプノフ数の自由度依存性は相互作用距離に依存することが知られている.今回我々はマクロ変数の自由度依存性に注目し,ハミルトン力学による時間平均値と,熱力学極限でのカノニカル平均値との相違を観察することにより有限サイズ効果の相互作用距離依存性を調べた.この有限サイズ効果を高エネルギー領域で理論的に予言し,数値的に確認することができた.
- 物性研究刊行会の論文
- 2005-06-20
著者
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Yamaguchi Y.
Jsps Research Fellowship For Young Scientists
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GOTO Shin-itiro
Department of Applied Mathematics and Physics, Kyoto University
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Goto Shin-itiro
Department Of Applied Mathematics And Physics Kyoto University
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Goto Shin‐itiro
Ntt Corp. Kyoto‐fu Jpn
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- Time average and canonical average of macroscopic variable in classical Hamiltonian system with long-range interaction(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quan
- Dynamics near Resonance Junctions in Hamiltonian Systems
- Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map
- Asymptotic Expansions of Unstable and Stable Manifolds in Time-Discrete Systems