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Non-linear fluctuating hydrodynamics based on fluctuation theorem

Research Project

Project/Area Number 19K21881
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 15:Particle-, nuclear-, astro-physics, and related fields
Research InstitutionSophia University

Principal Investigator

Hirano Tetsufumi  上智大学, 理工学部, 教授 (40318803)

Co-Investigator(Kenkyū-buntansha) 藤井 宏次  東京大学, 大学院総合文化研究科, 助教 (10313173)
村瀬 功一  上智大学, 理工学部, 研究員 (00834095)
Project Period (FY) 2019-06-28 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords揺らぎの定理 / 相対論的揺動流体力学 / 一般化された揺動散逸関係 / クォークグルーオンプラズマ / 因果律 / QCD相転移 / 高エネルギー原子核衝突反応 / 相対論的流体力学 / 揺動散逸関係 / 揺らぐ流体
Outline of Research at the Start

宇宙の始まりに存在した極限物質「クォークグルーオンプラズマ」の物性を研究する目的で高エネルギー原子核衝突実験が行われてきており、その実験結果を解釈する上で相対論的流体力学が重要な役割を果たしてきた。近年は時空の各点で熱揺らぎの影響を取り入れた「揺らぐ流体力学」が発展しているものの、非平衡統計力学における「揺らぎの定理」との関連は自明ではなかった。そこで本研究課題では、揺らぎの定理と矛盾しない「揺らぐ相対論的流体力学」の構築を目指す。非平衡統計力学の発展と素粒子原子核物理学の発展の交差する学際的課題として位置づけられ、クォークグルーオンプラズマ物性の理解を促進することを目指している。

Outline of Final Research Achievements

We applied the ``fluctuation theorem'', one of the milestone in non-equilibrium statistical physics, to a system in which local thermal equilibrium is maintained while the background expands. We aimed to apply the results to high-energy nuclear collision. First, we analyzed the Langevin system, which includes a simpler memory effect, and the LCR circuit system, which includes thermal fluctuations, as the same equation system. In particular, we formulated hydrodynamic fluctuations and critical fluctuations in a one-dimensional expanding system, and described their causal dynamics. We also discussed the limitations caused by hydrodynamic fluctuations for generalized relativistic fluid equations. It was suggested that a generalized fluctuation dissipation relation that includes the effect of expansion is necessary to satisfy the "fluctuation theorem" in these systems.

Academic Significance and Societal Importance of the Research Achievements

非平衡統計物理学の揺らぎの定理において揺動流体を扱う例はそれほど多くない。研究代表者らは高エネルギー原子核衝突反応におけるクォークグルーオンプラズマ流体を扱う中で、この系における揺らぎの定理の適用可能性に先鞭をつけ、学際的な領域の研究を進めた。今後、相対論的揺動流体力学が高エネルギー原子核衝突反応のダイナミクスを記述するうえで中心になるにあたり、その基礎的な土台の一部を築いたという意味で意義がある。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (15 results)

All 2024 2023 2022 2021 2019

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 3 results) Presentation (9 results) (of which Int'l Joint Research: 3 results,  Invited: 2 results)

  • [Journal Article] Causal hydrodynamic fluctuations in a one-dimensional expanding system2024

    • Author(s)
      Fujii Shin-ei、Hirano Tetsufumi
    • Journal Title

      Physical Review C

      Volume: 109 Issue: 2

    • DOI

      10.1103/physrevc.109.024916

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hydrodynamic fluctuations and ultra-central flow puzzle in heavy-ion collisions2023

    • Author(s)
      Kuroki Kenshi、Sakai Azumi、Murase Koichi、Hirano Tetsufumi
    • Journal Title

      Physics Letters B

      Volume: 842 Pages: 137958-137958

    • DOI

      10.1016/j.physletb.2023.137958

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Space-time Evolution of Critical Fluctuations in an Expanding System2023

    • Author(s)
      Sakai A.、Murase K.、Fujii H.、Hirano T.
    • Journal Title

      Acta Physica Polonica B Proceedings Supplement

      Volume: 16 Issue: 1 Pages: 1-1

    • DOI

      10.5506/aphyspolbsupp.16.1-a155

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effects of hydrodynamic and initial longitudinal fluctuations on rapidity decorrelation of collective flow2022

    • Author(s)
      Azumi Sakai,Koichi Murase,Tetsufumi Hirano
    • Journal Title

      Physics Letters B

      Volume: 829 Pages: 137053-137053

    • DOI

      10.1016/j.physletb.2022.137053

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Rapidity decorrelation caused by hydrodynamic fluctuations and initial longitudinal fluctuations2021

    • Author(s)
      Sakai Azumi、Murase Koichi、Hirano Tetsufumi
    • Journal Title

      Nuclear Physics A

      Volume: 1005 Pages: 121969-121969

    • DOI

      10.1016/j.nuclphysa.2020.121969

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Causal hydrodynamic fluctuations in non-static and inhomogeneous backgrounds2019

    • Author(s)
      Murase Koichi
    • Journal Title

      Annals of Physics

      Volume: 411 Pages: 167969-167969

    • DOI

      10.1016/j.aop.2019.167969

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Presentation] 膨張系における流体揺らぎの2粒子相関への影響2024

    • Author(s)
      藤井真栄, 平野哲文
    • Organizer
      日本物理学会2024年春季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 臨界点近傍におけるスペクトル関数の非平衡時間発展2024

    • Author(s)
      藤井宏次
    • Organizer
      日本物理学会2024年春季大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Dynamics of causal hydrodynamic fluctuations in an expanding system2023

    • Author(s)
      藤井真栄, 平野哲文
    • Organizer
      第40回 Heavy Ion Cafe
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] Dynamics of causal hydrodynamic fluctuations in an expanding system2023

    • Author(s)
      Shin-ei Fujii, Tetsufumi Hirano
    • Organizer
      Quark Matter 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dynamics of causal hydrodynamic fluctuations in an expanding system2023

    • Author(s)
      Shin-ei Fujii, Tetsufumi Hirano
    • Organizer
      Asian Triangle Heavy Ion Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 膨張系における流体揺らぎのダイナミクス2023

    • Author(s)
      藤井真栄, 平野哲文
    • Organizer
      日本物理学会2022年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 一般化された構成方程式に対する揺動散逸関係による制限2023

    • Author(s)
      木村奏, 平野哲文, 藤井宏次
    • Organizer
      日本物理学会2022年春季大会
    • Related Report
      2022 Research-status Report
  • [Presentation] Space-time evolution of critical fluctuations in an expanding system2022

    • Author(s)
      Azumi Sakai, Koichi Murase, Hirotsugu Fujii, Tetsufumi Hirano
    • Organizer
      Quark Matter 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 1次元膨張系における臨界揺らぎの時空発展2019

    • Author(s)
      坂井あづみ, 平野哲文, 藤井宏次, 村瀬功一
    • Organizer
      日本物理学会
    • Related Report
      2019 Research-status Report

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Published: 2019-07-04   Modified: 2025-01-30  

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