Theoretical Study of Non-Hermitian Dynamics on the Basis of the Classical Mechanics

2010 Fiscal Year Final Research Report

• Project/Area Number: 19740235
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: The University of Tokyo (2008-2010); Nagoya University (2007)
• Principal Investigator: WATANABE Hiroshi The University of Tokyo, 物性研究所, 助教 (50377777)
• Project Period (FY): 2007 – 2010
• Keywords: 統計物理学 / 分子動力学法 / 温度制御

Research Abstract

The Nose-Hoover method is studied as a non-Hamilton dynamics system. A stochastic process of the Nose-Hoover method is discussed on the basis of the Markovian approximation. It is proved that the dynamics which achieves Gibbs' canonical distribution must involve non-canonical transformation.

Research Products

• [Journal Article] Cumulative distribution functions associated with bubble-nucleation processes in cavitation (2010)
  • Author(s): H.Watanabe, M.Suzuki, N.Ito
  • Journal Title: Phys.Rev.E 82 Pages: 051604
  • Peer Reviewed
• [Journal Article] Dynamical study of a polydisperse hard-sphere system (2010)
  • Author(s): T.Nogawa, N.Ito, H.Watanabe
  • Journal Title: Phys.Rev.E 82 Pages: 021201
  • Peer Reviewed
• [Journal Article] 剛体系の固体-流体相転移に与える多分散性の影響について (2009)
  • Author(s): 渡辺宙志・能川知昭・伊藤伸泰
  • Journal Title: 日本結晶成長学会誌 Vol.36, No.2 Pages: 46-54
  • Peer Reviewed
• [Journal Article] Non-equilibrium Relaxation Analysis on Two-dimensional Melting (2009)
  • Author(s): H.Watanabe
  • Journal Title: Prog.Theor.Phys.Suppl. No.178 Pages: 41-48
  • Peer Reviewed
• [Journal Article] Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles, Marta (2009)
  • Author(s): L.Guerra, M.A.Novotny, H.Watanabe, N.Ito
  • Journal Title: Phys.Rev.E 79 Pages: 026706-1-026706-6
  • Peer Reviewed
• [Journal Article] Markovian Approximation for the Nose-Hoover method and H-theorem (2008)
  • Author(s): H.Watanabe
  • Journal Title: J.Phys.Soc.Jpn 77 Pages: 103001-1-103001-3
  • Peer Reviewed
• [Journal Article] Ergodicity of a Thermostat Family of Nose-Hoover type (2007)
  • Author(s): H.Watanabe, H.Kobayashi
  • Journal Title: Phys.Rev.E 75 Pages: 040102-1-040102-4(R)
  • Peer Reviewed
• [Journal Article] 二次元粒子系の融解現象における非平衡緩和解析 (2007)
  • Author(s): 渡辺宙志
  • Journal Title: 分子シミュレーション研究会会誌「アンサンブル」 Vol.9, No.4, (通巻40号) Pages: 22-30
  • Peer Reviewed
• [Journal Article] 定温分子動力学法におけるエルゴード性 (2007)
  • Author(s): 渡辺宙志, 小林礼人
  • Journal Title: 日本物理学会誌 第62巻第10号 Pages: 785-788
  • Peer Reviewed
• [Presentation] カノニカル分布を導く運動方程式と変分原理 (2010)
  • Author(s): 渡辺宙志, 轟木義一
  • Organizer: 日本物理学会2010年秋季大会
  • Place of Presentation: 大阪府立大学中百舌鳥キャンパス
  • Year and Date: 2010-09-23
• [Presentation] 定温ダイナミクスとその幾何学的理解 (2009)
  • Author(s): 渡辺宙志, 轟木義一
  • Organizer: 日本物理学会秋季大会
  • Place of Presentation: 熊本大学黒髪キャンパス
  • Year and Date: 2009-09-26
• [Presentation] Isothermal Dynamics and Time Reversibility (2008)
  • Author(s): Hiroshi, Watanabe
  • Organizer: US-Japan Bilateral Workshop, University of California
  • Place of Presentation: Berkeley, USA, Large-scale Molecular Dynamics Simulation and Related Topics
  • Year and Date: 2008-09-25
• [Presentation] 定温ダイナミクスと,その縮約としての確率過程 (2008)
  • Author(s): 渡辺宙志, 轟木義一
  • Organizer: 2008年秋季大会
  • Place of Presentation: 岩手大学上田キャンパス
  • Year and Date: 2008-09-23
• [Presentation] カノニカルダイナミクスと時間反転対称性 (2008)
  • Author(s): 渡辺宙志
  • Organizer: 第1回ACPWS「マルチスケールシミュレーションおよびその周辺
  • Place of Presentation: 東京大学本郷キャンパス
  • Year and Date: 2008-05-19
• [Presentation] Ergodicity of Isothermal Molecular Dynamics Method (2008)
  • Author(s): Hiroshi, Watanabe
  • Organizer: 2008 NCTS May Workshop on Critical Phenomena and Complex Systems
  • Place of Presentation: Academia Sinica, Taipei
  • Year and Date: 2008-05-02
• [Presentation] Ergodicity of Isothermal Molecular Dynamics Method (2008)
  • Author(s): Hiroshi, Watanabe
  • Organizer: Nagoya-COE and Beijing-LHD Joint Workshop
  • Place of Presentation: Nagoya University
  • Year and Date: 2008-03-24
• [Presentation] Ergodicity of the Isothermal Dynamics (2008)
  • Author(s): Hiroshi, Watanabe
  • Organizer: アメリカ物理学会(APS)
  • Place of Presentation: New Orleans, LA, USA
  • Year and Date: 2008-03-13
• [Presentation] 定温分子動力学法とエルゴード性 (2007)
  • Author(s): 渡辺宙志
  • Organizer: 第13回交通流のシミュレーションシンポジウム
  • Place of Presentation: 名古屋大学VBL
  • Year and Date: 2007-12-07
• [Book] 超多自由度系の新しい科学(笹井理生編) (2010)
  • Author(s): 金田行雄・笹井理生監修
  • Total Pages: 252-282
  • Publisher: 共立出版