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Universal lwas in laminar turbulence transition as a nonequilibrium phase transition

Research Project

Project/Area Number 16H02212
Research Category

Grant-in-Aid for Scientific Research (A)

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

Principal Investigator

Sano Masaki  東京大学, 大学院理学系研究科(理学部), 教授 (40150263)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥47,970,000 (Direct Cost: ¥36,900,000、Indirect Cost: ¥11,070,000)
Fiscal Year 2018: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2017: ¥7,150,000 (Direct Cost: ¥5,500,000、Indirect Cost: ¥1,650,000)
Fiscal Year 2016: ¥35,490,000 (Direct Cost: ¥27,300,000、Indirect Cost: ¥8,190,000)
Keywords層流乱流転移 / 流れの安定性 / Directed Percolation / 非平衡統計力学 / 非平衡ゆらぎ / 非平衡相転移 / 層流・乱流転移 / 液晶乱流 / チャネル流 / シア流不安定 / 臨界現象
Outline of Final Research Achievements

Transition from laminar to turbulent flow drastically changes the mixing, transport, and drag properties of fluids, yet when and how turbulence emerges is elusive even for simple flow within pipes and rectangular channels. In this project, through extensive experimental investigation of channel flow, we identify a distinctive transition with critical behaviour. We identified 3 independent critical exponents and universal scaling relations which coincides with the theoretical predictions of (2+1)dimensional DP (Directed Percolation) transition. These results are not accidental, even if we consider the shortage in our system size and the existence of unstable solutions which grow slower than the observation time. We have also made experiments of turbulent liquid crystals under shear flow with an active wall and found that DP transition is robust against such conditions.
Phenomenological theory and simulation for DP transition with advetive flow and an active wall were also developed.

Academic Significance and Societal Importance of the Research Achievements

流体の運動において、整った状態(層流)がいつどのようにして、乱れた状態(乱流)に遷移するのかは、世紀を超えて科学者が挑戦し続けている難問の一つである。20世紀終わりにカオスが発見され、閉鎖流における時間的乱れの発生機構が明らかになったが、パイプ流などの開放系のせん断流れにおいて、時空間的な乱れがどのような条件で発生するのかは、19世紀のレイノルズの実験以来、未解決であった。我々は、統計力学的な視点を導入し、粗視化した乱流構造が時空間全体に広がるかどうかに着目することで、非平衡相転移の一種であるDirected Percolationと呼ばれる普遍的な臨界現象と見做せることを明らかにした。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (18 results)

All 2019 2018 2017 2016

All Journal Article (8 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 8 results,  Open Access: 2 results) Presentation (10 results) (of which Int'l Joint Research: 9 results,  Invited: 10 results)

  • [Journal Article] Hydrodynamic rot- let dipole driven by spinning chiral liquid crystal droplets2019

    • Author(s)
      T. Yamamoto, and M. Sano:
    • Journal Title

      Physical Review E,

      Volume: 99 Issue: 2

    • DOI

      10.1103/physreve.99.022704

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 有向パーコレーションと乱流遷移2019

    • Author(s)
      玉井敬一, 佐野雅己
    • Journal Title

      応用数理

      Volume: 28

    • NAID

      130007720876

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] How to experimentally probe universal features of absorbing phase transitions using steady state2018

    • Author(s)
      Tamai Keiichi、Sano Masaki
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2018 Issue: 12 Pages: 123207-123207

    • DOI

      10.1088/1742-5468/aaeb42

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 層流・乱流転移: 非平衡相転 移としての乱流2018

    • Author(s)
      佐野雅己,玉井敬一
    • Journal Title

      日本物理学会誌

      Volume: 73 Pages: 463-468

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Theoretical model of chirality-induced helical self-propulsion2018

    • Author(s)
      Yamamoto, Takaki; Sano, Masaki
    • Journal Title

      Physical Review E

      Volume: 97-1 Issue: 1

    • DOI

      10.1103/physreve.97.012607

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Flagellar dynamics of chains of active Janus particles fueled by an AC electric field2018

    • Author(s)
      Daiki Nishiguchi, Junichiro Iwasawa, Hong-Ren Jiang and Masaki Sano
    • Journal Title

      New Journal of Physics

      Volume: 20 Issue: 1 Pages: 015002-015002

    • DOI

      10.1088/1367-2630/aa9b48

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Chirality-induced helical self-propulsion of cholesteric liquid crystal droplets2017

    • Author(s)
      Yamamoto, Takaki; Sano, Masaki
    • Journal Title

      Soft Matter

      Volume: 13-18 Issue: 18 Pages: 3328-3333

    • DOI

      10.1039/c7sm00337d

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 層流・乱流転移における法則性の発見2017

    • Author(s)
      佐野雅己
    • Journal Title

      パリティー

      Volume: 32 Pages: 20-22

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Presentation] Extracting Dynamics from Data in Active Matter: Force and Tissue Dynamics2019

    • Author(s)
      M. Sano
    • Organizer
      Gordon Research Conference on Complex Active and Adaptive Material Systems, Jan. 29, 2019, Ventura, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonequilibrium Phase Transition in Shear Flow2018

    • Author(s)
      M. Sano
    • Organizer
      10th Dynamics Days Asia Pacic, Nov. 4, 2018, Xiamen, China
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonequilibrium Phase Transition in Shear Flow2018

    • Author(s)
      M. Sano
    • Organizer
      International Conference on APEF2018 (Advances in Physics of Emergent Orders in Fluctuations), Nov. 15, 2018, Tokyo, Japan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] シア流と非平衡相転移2017

    • Author(s)
      佐野雅己
    • Organizer
      統計物理学懇談会
    • Place of Presentation
      慶応大学、東京
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Transition to Turbulence and Nonequilibrium Phase Transition2017

    • Author(s)
      M. Sano
    • Organizer
      ENS-UT Workshop (Nov. 15-16, 2017), Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Transition to Turbulence in Channel and Annular Flow2017

    • Author(s)
      M. Sano
    • Organizer
      Workshop: Transition to Turbulence, Niels Bohr Institute (Oct. 23-25, 2017), Copenhagen, Denmark.
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermal and Electric Effects in Active Colloid: Thermophoresis, Self-Propulsion, Self-Assembly2017

    • Author(s)
      M. Sano
    • Organizer
      Gordon Research Conference on Plasmonically-Powered Processes (Jun. 25-30, 2017), Hong Kong
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Universal Transition to Turbulence in Shear Flow of Simple and Complex Fluids2016

    • Author(s)
      Masaki Sano
    • Organizer
      StatPhys Taiwan 2016
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2016-09-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Universal critical behavior of the transition to turbulence in channel flow2016

    • Author(s)
      Masaki Sano
    • Organizer
      International Congress of Theoretical and Applied Mechanics (ICTAM2016)
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2016-08-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Does the Transition to Turbulence in Shear Flow belong to the Directed Percolation Universality Class?2016

    • Author(s)
      Masaki Sano
    • Organizer
      , 7th KIAS Conference on Statistical Mechanics
    • Place of Presentation
      Seoul, Korea.
    • Year and Date
      2016-07-04
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited

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Published: 2016-04-21   Modified: 2020-03-30  

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