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Non-thermal fluctuation and correlation of chaos in conservative systems

Research Project

Project/Area Number 20540371
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionNagoya University

Principal Investigator

KONISHI Tetsuro (KONISHI Tetsur)  名古屋大学, 理学研究科, 准教授 (30211238)

Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
KeywordsBoltzmann-Jeans理論 / エネルギー等分配則 / カオス / 多重振り子 / 拘束系 / 数理物理 / 構造形成 / 物性基礎論 / 非線形物理学 / 溶媒 / 高分子 / 生体高分子 / エネルギー簿分配則 / 多重振り予 / 拘東系 / 末端効果
Research Abstract

Dynamical and equilibrium properties of chaotic Hamiltonian systems are investigated. In particular, we studied chain-type systems where masses are connected by rigid links or springs. For systems where masses are connected by rigid links, average kinetic energies of masses take excessive large values near the ends of chain. For systems where masses are connected by springs, average kinetic energies near the ends transiently take excessive values. The relaxation time to equipartitionτgrows rapidly with the increase of the spring constant k. It is in agreement with the expressionτ∝exp(√^<ck>) obtained from Boltzmann-Jeans theory. The results imply that chain-type systems such as polymers, DNA, protein, artificial objects also show excess average energy near ends of the chain.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (39 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (32 results) Remarks (1 results)

  • [Journal Article] Slow relaxation to equipartition in spring-chain systems2010

    • Author(s)
      Tetsuro Konishi and Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics

      Pages: 9001-9001

    • NAID

      120002548781

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Slow relaxation to equipartition in spring-chain systems2010

    • Author(s)
      Tetsuro Konishi, Tatsuo Yanagita
    • Journal Title

      J.Stat.Mech.

    • NAID

      120002548781

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Slow relaxation to equipartition in spring-chain systems2010

    • Author(s)
      Tetsuro KONISHI, Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics

      Volume: 2010 Pages: 900-900

    • NAID

      120002548781

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energetic motion of end-particles in constrained dynamical systems2009

    • Author(s)
      Tetsuro Konishi and Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics

      Pages: 9001-9001

    • NAID

      120001629791

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Energetic motion of end-particles in constrained dynamical systems2009

    • Author(s)
      Tetsuro Konishi, Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics

    • NAID

      120001629791

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Energetic motion of end-particles in constrained dynamical systems2009

    • Author(s)
      Tetsuro KONISHI, Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics 2009

    • NAID

      120001629791

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 強束縛ひも状系のエネルギー分配:溶媒の効果2012

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
    • Related Report
      2011 Final Research Report
  • [Presentation] 強束縛ひも状系のエネルギー分配:溶媒の効果2012

    • Author(s)
      小西哲郎
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大
    • Year and Date
      2012-03-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] 3次元中の強束縛ひも状系:末端と分岐点での運動の特異性2011

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-22
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元中の強束縛な鎖状多体系におけるエネルギー分配と特異な振舞い2011

    • Author(s)
      小西哲郎
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] 3次元中の強束縛な鎖状多体系におけるエネルギー分配と特異な振舞い2011

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      基研研究会基研研究会2011「非平衡系の物理-ミクロとマクロの架け橋」
    • Place of Presentation
      湯川記念館パナソニックホール(京都)
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元中の強束縛な鎖状多体系におけるエネルギー分配と特異な振舞い2011

    • Author(s)
      小西哲郎
    • Organizer
      基研研究会2011「非平衡系の物理-ミクロとマクロの架け橋」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2011 Annual Research Report
  • [Presentation] 鎖状多体系における末端部の浩発な運動とゆっくりした緩和2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      2010年度高分子計算機科学研究会・高分子ナノテクノロジー研究会合同討論会
    • Place of Presentation
      東京大学山上会館大会議室
    • Year and Date
      2010-12-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 鎖状多体系のダイナミクス:末端部の活発な運動とゆっくりした緩和2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      第24回分子シミュレーション討論会
    • Place of Presentation
      福井県民ホール
    • Year and Date
      2010-11-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 鎖状多体系の末端における活発な運動と遅い緩和2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      数理解析研究所研究集会「非線形波動現象の多様性と普遍性」
    • Place of Presentation
      京都大学数理解析研究所 招待講演
    • Year and Date
      2010-10-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] 3次元中の強束縛ひも状系の末端異常2010

    • Author(s)
      小西哲郎、御国達雄
    • Organizer
      日本物理学会秋季大会 24pTB-11
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Partition and relaxation of energy in chain-type systems2010

    • Author(s)
      Tetsuro KONISHI
    • Organizer
      Dynamics Days Asia Pacific 6
    • Place of Presentation
      University.of New South Wales, Sydney, Australia
    • Year and Date
      2010-06-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] 非束縛力学系に現れる遅い緩和~束縛運動の陰II2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
    • Related Report
      2011 Final Research Report
  • [Presentation] 非束縛力学系に現れる遅い緩和~束縛運動の陰II2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
    • Related Report
      2009 Annual Research Report
  • [Presentation] Slow relaxation to equi-partition in spring chain systems2010

    • Author(s)
      Tetsuro Konishi and Tatsuo Yanagita
    • Organizer
      Workshop on dynamical systems theory and reaction dynamics toward large systems
    • Place of Presentation
      京都大学
    • Year and Date
      2010-01-05
    • Related Report
      2011 Final Research Report 2009 Annual Research Report
  • [Presentation] 鎖状多体系における末端部の活発な運動とゆっくりした緩和2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      2010年度高分子計算機科学研究会・高分子ナノテクノロジー研究会合同討論会
    • Place of Presentation
      東京大学山上会館大会議室
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] 鎖状多体系のダイナミクス:末端部の活発な運動とゆっくりした緩和2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      第24回分子シミュレーション討論会
    • Place of Presentation
      福井県民ホール、福井市
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] 鎖状多体系の末端における活発な運動と遅い緩和2010

    • Author(s)
      小西哲郎
    • Organizer
      数理解析研究所研究集会「非線形波動現象の多様性と普遍性」
    • Related Report
      2011 Final Research Report 2010 Self-evaluation Report
  • [Presentation] 3次元中の強束縛ひも状系の末端異常2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      大阪府立大学
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] Partition and relaxation of energy in chain-type systems2010

    • Author(s)
      Tetsuro KONISHI
    • Organizer
      DDAP6(Dynamics Days Asia Pacific 6)
    • Place of Presentation
      University of New South Wales, Sydney, Australia
    • Related Report
      2011 Final Research Report
  • [Presentation] 剛体棒あるいは硬いばねでつながれた鎖状系における末端部粒子の活発な運動2010

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      第59回理論応用力学講演会
    • Place of Presentation
      学術会議
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] Partition and relaxation of energy in chain-type systems2010

    • Author(s)
      Tetsuro KONISHI
    • Organizer
      DDAP6 (Dynamics Days Asia Pacific 6)
    • Place of Presentation
      University of New South Wales, Sydney, Australia
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 鎖状系における末端部粒子の活発な運動2009

    • Author(s)
      小西哲郎
    • Organizer
      第5回ILM勉強会
    • Place of Presentation
      滋賀県立大学
    • Year and Date
      2009-11-05
    • Related Report
      2011 Final Research Report
  • [Presentation] 鎖状系における末端部粒子の活発な運動2009

    • Author(s)
      小西哲郎
    • Organizer
      第5回 ILM勉強会、2009年11月
    • Place of Presentation
      滋賀県立大学
    • Year and Date
      2009-11-05
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非束縛力学系に現れる緩和と揺らぎ~束縛運動の陰2009

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
    • Related Report
      2011 Final Research Report
  • [Presentation] 非束縛力学系に現れる緩和と揺らぎ~束縛運動の陰2009

    • Author(s)
      小西哲郎、柳田達雄
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 遅い動きと小さな量 : カオスと多倍長計算2009

    • Author(s)
      小西哲郎
    • Organizer
      第41回天体力学N体力学研究会
    • Place of Presentation
      国立天文台(三鷹)
    • Year and Date
      2009-03-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] 一般鎖状系のダイナミクスとみかけのエネルギー非等分配22009

    • Author(s)
      小西哲郎柳田達雄
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Presentation] 遅い動きと小さな量:カオスと多倍長計算2009

    • Author(s)
      小西哲郎
    • Organizer
      第41回天体力学N体力学研究会
    • Place of Presentation
      国立天文台(三鷹)すばる解析研究棟大セミナー室
    • Related Report
      2011 Final Research Report
  • [Presentation] 一般鎖状系のダイナミクスとみかけのエネルギー非等分配2008

    • Author(s)
      小西哲郎柳田達雄
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      岩手大学
    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Presentation] 多重振り子のシミュレーションとみかけのエネルギー非等分配2008

    • Author(s)
      小西哲郎,柳田達雄
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      岩手大学
    • Related Report
      2011 Final Research Report 2008 Annual Research Report
  • [Presentation] Kyoto Dynamics Days Hamiltonian Systems and Related Topics2008

    • Author(s)
      小西哲郎
    • Place of Presentation
      (University of Barcelona),京都大学
    • Related Report
      2011 Final Research Report
  • [Presentation] Dynamics of planar, chain system2008

    • Author(s)
      小西哲郎
    • Organizer
      Kyoto Dynamics Days 7 "Hamiltonian Systems and Related Topics"
    • Place of Presentation
      京都大学
    • Related Report
      2008 Annual Research Report
  • [Remarks] 注 : 本研究課題以外の古い内容も含まれています

    • URL

      http://www.r.phys.nagoya-u.ac.jp/~tkonishi/research/list_of_publications.html

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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