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Analysis of nonequilibrium forces induced by heat flow

Research Project

Project/Area Number 17K14355
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionNagoya University (2020)
Kyoto University (2017-2019)

Principal Investigator

Masato Itami  名古屋大学, 理学研究科, 学振特別研究員(PD) (00779184)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords非平衡ゆらぎ / 大偏差理論 / 断熱ピストン問題 / ソレー効果 / 統計物理学 / 非平衡 / ゆらぎ / 大偏差原理 / 統計力学
Outline of Final Research Achievements

Aiming at understanding forces induced by heat flow, I mainly focus on the Soret effect and the adiabatic piston problem. First, nonlinear multiplicative Langevin equations for a complete set of slow variables in equilibrium systems were generally derived on the basis of the separation of time scales. Next, we found that a force in the same direction as the adiabatic piston problem appears in a simple case of the Soret effect. Finally, in the adiabatic piston problem, I focused on the statistical properties in the long-time limit of a randomly moving piston, and derived effective Langevin equations that describe the long-time dynamics.

Academic Significance and Societal Importance of the Research Achievements

本研究により、非平衡系において物体の長時間での振る舞いを記述できる運動方程式や、熱流に誘起されて生じる非平衡力を理解するための礎を築くことができたと考えている。熱流に誘起された力は、生命の起源の濃度問題と関連し得ることが指摘されており、生体系の理解にもつながる可能性がある。また、熱流を利用して分子を好きな場所に運ぶことができるようになれば、薬物輸送システムの開発に大きく貢献できる可能性がある。

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (15 results)

All 2021 2020 2019 2018 2017

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (12 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston2021

    • Author(s)
      Itami Masato、Nakayama Yohei、Nakagawa Naoko、Sasa Shin-ichi
    • Journal Title

      Physical Review E

      Volume: 103 Issue: 2 Pages: 022125-022125

    • DOI

      10.1103/physreve.103.022125

    • NAID

      120007164841

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multiplicative Langevin equation to reproduce long-time properties of nonequilibrium Brownian motion2020

    • Author(s)
      Seya Atsumasa、Aoyagi Tatsuya、Itami Masato、Nakayama Yohei、Nakagawa Naoko
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2020 Issue: 1 Pages: 013201-013201

    • DOI

      10.1088/1742-5468/ab54bc

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Singular behaviour of time-averaged stress fluctuations on surfaces2018

    • Author(s)
      Itami Masato、Sasa Shin-ichi
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2018 Issue: 12 Pages: 123210-123210

    • DOI

      10.1088/1742-5468/aaf31c

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 平衡流体における面平均カレントの長距離相関と超均一性2021

    • Author(s)
      伊丹將人
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston2020

    • Author(s)
      Masato Itami
    • Organizer
      33rd Marian Smoluchowski Symposium on Statistical Physics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 時間平均によるマルコフ過程の粗視化2020

    • Author(s)
      伊丹將人
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Singular behaviour of time-averaged stress fluctuations on surfaces2019

    • Author(s)
      Masato Itami
    • Organizer
      Statistical Physics of Complex Systems
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 断熱ピストン問題における長時間変位のキュムラント母関数2019

    • Author(s)
      伊丹將人
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 流体中で固定壁に働く熱誘起力2019

    • Author(s)
      伊丹將人
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Singular behaviour of time-averaged stress fluctuations on surfaces2019

    • Author(s)
      Masato Itami
    • Organizer
      第16回京都大学福井謙一記念研究センターシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] Singular behavior of time-averaged stress fluctuations on surfaces2018

    • Author(s)
      Masato Itami
    • Organizer
      Advances in Physics of Emergent orders in Fluctuations
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] The difference between the heat-induced forces of the Soret effect and the adiabatic piston2018

    • Author(s)
      伊丹將人、佐々真一
    • Organizer
      第15回京都大学福井謙一記念研究センターシンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 平衡流体における時間平均応力ゆらぎの超均一性II2018

    • Author(s)
      伊丹將人、佐々真一
    • Organizer
      日本物理学会第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Universal form of stochastic evolution for slow variables in equilibrium systems2017

    • Author(s)
      Masato Itami and Shin-ichi Sasa
    • Organizer
      30th Marian Smoluchowski Symposium on Statistical Physics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] ソレー効果と断熱ピストン問題における熱誘起力の差異2017

    • Author(s)
      伊丹將人、佐々真一
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2022-01-27  

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