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Statistical physics for viscosity and diffusion of weak turbulence in electro-convection systems

Research Project

Project/Area Number 17K14593
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Fluid engineering
Research InstitutionYamaguchi University

Principal Investigator

Narumi Takayuki  山口大学, 大学院創成科学研究科, 准教授 (50599644)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords液晶電気対流 / Nikolaevskii乱流 / 異常拡散 / 粒子シミュレーション / 階層構造 / ラグランジュ描像 / 対流構造 / 粒子拡散 / Lagrange描像 / 速い拡散 / 遅い拡散 / 乱流拡散 / ブラウン運動 / 時空カオス / 劣拡散 / 優拡散 / 分子動力学シミュレーション / 流体 / 統計力学 / 自己組織化 / 計算物理 / シミュレーション工学
Outline of Final Research Achievements

We aimed to clarify the physical properties of soft-mode turbulence, defect turbulence, and Nikolaevskii turbulence, which are weak turbulence for electroconvective systems in nematic liquid crystals. Furthermore, we tried to reveal the relationship between them. The tagged-particle dynamics in the turbulent flow was studied by experiments and numerical simulations from the viewpoint of the anomalous diffusion, which is a phenomenon not seen in the fully-developed turbulence. As a result, the importance of the hierarchical structure was clarified not only due to the properties of individual weak turbulence but also as properties that are universally found in weak turbulence for electroconvective systems.

Academic Significance and Societal Importance of the Research Achievements

本研究では,弱い乱流の物性を明らかにするために,液晶電気対流系に関する弱い乱流に焦点を当てた.液晶電気対流系に現れる種々の弱い乱流を,非平衡統計力学的手法および計算機シミュレーションにより研究することで,液晶電気対流系の弱い乱流に共通する性質から普遍性解明に向けた知見を得た.
本研究は,工学的には,弱い乱流を応用するための基礎的な知見となりうる.例えば,エネルギー散逸が抑えられた省エネルギーな状況での効率的な混合を,発達乱流とは異なる方法で実現する可能性につながるものと期待される.

Report

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

    (19 results)

All 2020 2019 2018 2017 Other

All Journal Article (4 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (13 results) (of which Int'l Joint Research: 7 results,  Invited: 2 results) Remarks (2 results)

  • [Journal Article] Tagged-Particle Dynamics in Weak Turbulence: System Size Dependence of Nikolaevskii Turbulence2020

    • Author(s)
      Narumi Takayuki、Hidaka Yoshiki
    • Journal Title

      AIP Conference Proceedings

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Slow diffusive structure in Nikolaevskii turbulence2020

    • Author(s)
      Narumi Takayuki、Hidaka Yoshiki
    • Journal Title

      Physical Review E

      Volume: 101 Issue: 2 Pages: 022202-022202

    • DOI

      10.1103/physreve.101.022202

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time-Dependent Diffusion Coefficients for Chaotic Advection due to Fluctuations of Convective Rolls2018

    • Author(s)
      Yamanaka Kazuma、Narumi Takayuki、Hashiguchi Megumi、Okabe Hirotaka、Hara Kazuhiro、Hidaka Yoshiki
    • Journal Title

      Fluids

      Volume: 3 Issue: 4 Pages: 99-99

    • DOI

      10.3390/fluids3040099

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sub-Diffusion in Electroconvective Turbulence of Homeotropic Nematic Liquid Crystals2018

    • Author(s)
      Kazuya Maeda, Takayuki Narumi, Rinto Anugraha, Hirotaka Okabe, Kazuhiro Hara, Yoshiki Hidaka
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Issue: 1 Pages: 014401-014401

    • DOI

      10.7566/jpsj.87.014401

    • NAID

      40021431832

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Nikolaevskii乱流での非局所構造2019

    • Author(s)
      鳴海孝之
    • Organizer
      西日本非線形科学研究会2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] Tagged-particle dynamics in weak turbulence - size-dependence for Nikolaevskii turbulence2019

    • Author(s)
      Narumi Takayuki
    • Organizer
      17th International Conference of Numerical Analysis and Applied Mathematics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Tagged-particle dynamics in Nikolaevskii turbulence2019

    • Author(s)
      Narumi Takayuki
    • Organizer
      International Mathematical Science Workshop in Yamaguchi 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nikolaevskii乱流での異常拡散2019

    • Author(s)
      鳴海 孝之, 日高 芳樹
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Nikolaevskii乱流での粒子運動2018

    • Author(s)
      鳴海 孝之, 井上 俊樹, 小田 和幸, 日高 芳樹
    • Organizer
      西日本非線形研究会2018
    • Related Report
      2018 Research-status Report
  • [Presentation] Relaxation and Transport of Spatiotemporal Chaos in a Homeotropic System of Nematic Liquid Crystals2018

    • Author(s)
      Takayuki Narumi, Yoshiki Hidaka
    • Organizer
      27th International Liquid Crystal Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 弱い乱流中での粒子拡散 - Nikolaevskii 方程式による理論研究2018

    • Author(s)
      鳴海 孝之, 日高 芳樹
    • Organizer
      日本流体力学会 年会2018
    • Related Report
      2018 Research-status Report
  • [Presentation] Anomalous diffusion in soft-mode turbulence2018

    • Author(s)
      Takayuki Narumi, Yoshiki Hidaka
    • Organizer
      International Conference on APEF2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Chaotic Advection in Weak Turbulence of Nematic Electroconvection2017

    • Author(s)
      Yoshiki Hidaka, Kazuya Maeda, Takayuki Narumi, Hirotaka Okabe, Kazuhiro Hara
    • Organizer
      The 4th Research Area Meeting of "Synergy of Fluctuation and Structure"
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Transport Phenomena of Spatiotemporal Chaos in Electroconvective Systems of Nematic Liquid Crystal2017

    • Author(s)
      Takayuki Narumi, Junichi Yoshitani, Yosuke Mikami, Hirotaka Okabe, Kazuhiro Hara, Yoshiki Hidaka
    • Organizer
      8th International Discussion Meeting on Relaxations in Complex Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 液晶配向のNambu-Goldstoneモードが乱流拡散に与える影響2017

    • Author(s)
      日高 芳樹, 前田 和也, 鳴海 孝之, 河野 真也, 岡部 弘高, 原 一広
    • Organizer
      2017年日本液晶学会討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] 非たたみこみ型モード結合理論による短距離引力コロイドの解析2017

    • Author(s)
      鳴海孝之
    • Organizer
      第7回計算統計物理学研究会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Transition between Super-diffusion and Sub-diffusion in Weak Turbulence of Nematic Electroconvection2017

    • Author(s)
      Yoshiki Hidaka, Kazuyuki Maeda, Takayuki Narumi, Hirotaka Okabe, Kazuhiro Hara
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Remarks] 山口大学 鳴海研究室のウェブサイト

    • URL

      http://web.cc.yamaguchi-u.ac.jp/~tnarumi/lang-jp/index.html

    • Related Report
      2019 Annual Research Report 2017 Research-status Report
  • [Remarks] 鳴海孝之webサイト

    • URL

      http://web.cc.yamaguchi-u.ac.jp/~tnarumi/lang-jp/index.html

    • Related Report
      2018 Research-status Report

URL: 

Published: 2017-04-28   Modified: 2021-02-19  

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