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Thermodynamic properties of nano-machines working under large fluctuations

Research Project

Project/Area Number 23540435
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionIbaraki University

Principal Investigator

NAKAGAWA Naoko  茨城大学, 理学部, 准教授 (60311586)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords非平衡定常系 / 揺らぎ / ポンピング / 熱力学第二法則 / メゾスコピック / 情報量 / 力学的仕事 / 非平衡 / タンパク質 / 遅い揺らぎ / 熱力学的操作 / 拡張クラウジウス等式 / Jarzynski等式 / 隠れた自由度 / メソスコピック
Outline of Final Research Achievements

We aimed to construct steady state thermodynamics, which may be applicable to various nano-machines such as proteins driven by chemical reactions. We have successfully derived an inequality corresponding to the second law of thermodynamics for non-equilibrium systems. The obtained inequality forms the combination of the minimum work principle and the linear response relation, both of which are milestones of equilibrium thermodynamics and non-equilibrium physics, respectively. As a first application of the inequality, we demonstrated the relation of equilibrium pumping to the mechanical work in driven states. According to this relation, we are possible to get experimental data for the pumping from the mechanical operation to the subjects under a conjugate driving.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (17 results)

All 2015 2014 2013 2012 2011

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 2 results) Presentation (12 results) (of which Invited: 1 results)

  • [Journal Article] Exact Equalities and Thermodynamic Relations for Nonequilibrium Steady States2015

    • Author(s)
      Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa, Hal Tasaki
    • Journal Title

      Journal of Statistical Physics

      Volume: 158 Issue: 6 Pages: 1195-1414

    • DOI

      10.1007/s10955-015-1221-1

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Universal expression for adiabatic pumping in terms of nonequilibrium steady states2014

    • Author(s)
      Naoko Nakagawa
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 2

    • DOI

      10.1103/physreve.90.022108

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Characterization of the low-temperature properties of a simplified protein model2014

    • Author(s)
      Johannes-Geert Hagmann, Naoko Nakagawa, Michel Peyrard
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 1

    • DOI

      10.1103/physreve.89.012705

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Work relations for time-dependent states2013

    • Author(s)
      Naoko Nakagawa and Shin-ichi Sasa
    • Journal Title

      Phys. Rev. E

      Volume: 87 Issue: 2

    • DOI

      10.1103/physreve.87.022109

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Work relation and the second law of thermodynamics in nonequilibrium steady states2012

    • Author(s)
      Naoko Nakagawa
    • Journal Title

      Physical Review E

      Volume: 85 Issue: 5

    • DOI

      10.1103/physreve.85.051115

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 温度差で駆動される壁の速度ゆらぎ2015

    • Author(s)
      中川尚子
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-22 – 2015-03-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] 一次元熱伝導系における過剰熱の示量性と相加性2015

    • Author(s)
      千葉義之、中川尚子
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-22 – 2015-03-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] 外場駆動される粒子の非線形ランジュバン方程式の数値的決定と有効温度の検討2015

    • Author(s)
      青柳達也、中川尚子
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-22 – 2015-03-25
    • Related Report
      2014 Annual Research Report
  • [Presentation] 温度勾配をかけた1次元格子系における非平衡エントロピーの計測2014

    • Author(s)
      千葉義之、中川尚子
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 環境と相互作用しながら外場で駆動される粒子の揺動散逸関係2014

    • Author(s)
      青柳達也、中川尚子
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 非平衡定常系への操作的仕事と線形応答関係の破れ2014

    • Author(s)
      中川尚子
    • Organizer
      第8回Mini-Symposium on Liquids
    • Place of Presentation
      岡山大学
    • Year and Date
      2014-07-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 非平衡系の定常分布によるポンピングの定式化2014

    • Author(s)
      中川尚子
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] A Work Relation for NESS that involves the Violation of Linear Response Relation2013

    • Author(s)
      Naoko Nakagawa
    • Organizer
      Frontier of Statistical Physics and Information Processing
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 時間依存ハミルトニアンがもたらす非定常分布と熱力学的仕事2012

    • Author(s)
      中川尚子
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 有限時間操作で生じる非定常分布と熱力学的仕事2012

    • Author(s)
      中川尚子
    • Organizer
      非平衡系の物理 -その普遍的理解を目指して
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] 非平衡定常系における熱力学第2法則と線形応答関係式2011

    • Author(s)
      中川尚子
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 線形応答関係式と非平衡定常系に拡張された熱力学第2法則の不可分な関係2011

    • Author(s)
      中川尚子
    • Organizer
      基礎物理学研究所研究会2011i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
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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