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Collaboration of statistical mechanics and fluid mechanics for development of new theories of plastic flows and turbulence

Research Project

Project/Area Number 24540404
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 InstitutionTottori University

Principal Investigator

OOSHIDA Takeshi  鳥取大学, 工学研究科, 助教 (50294343)

Co-Investigator(Kenkyū-buntansha) NAKAHARA Akio  日本大学, 理工学部, 准教授 (60297778)
GOTO Susumu  大阪大学, 基礎工学研究科, 准教授 (40321616)
MATSUMOTO Takeshi  京都大学, 理学研究科, 助教 (20346076)
OTSUKI Michio  島根大学, 総合理工学研究科, 講師 (30456751)
Co-Investigator(Renkei-kenkyūsha) KITSUNEZAKI So  奈良女子大学, 自然科学系, 准教授 (00301284)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
KeywordsLagrange記述 / コロイド / 乱流 / 相関関数 / 応答関数 / モード結合理論 / 協同運動 / 非平衡統計力学 / 塑性流動 / ラグランジュ的記述 / 揺動応答関係 / ラベル変数 / 一列縦隊拡散 / シェルモデル
Outline of Final Research Achievements

In order to lay a future foundation for a microscopic theory of plastic flows, an idea of importing the Lagrangian correlation, also known as the label variable method, into the statistical theory of dense colloidal liquids from the theory of fluid turbulence was tested and developed. The usefulness of this idea was demonstrated by analytical calculation of four-point space-time correlations in single-file diffusion in one-dimensional colloidal systems; besides, the label variable method is shown to be extensible to the two-dimensional cases.

Report

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

    (32 results)

All 2015 2014 2013 2012 Other

All Journal Article (7 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 1 results) Presentation (22 results) Remarks (3 results)

  • [Journal Article] ペーストの記憶効果と破壊の制御への応用2015

    • Author(s)
      中原明生・松尾洋介・大信田丈志
    • Journal Title

      日本物理学会誌

      Volume: 70 Pages: 179-187

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise2014

    • Author(s)
      Takeshi Matsumoto, Michio Otsuki, Ooshida Takeshi, Susumu Goto, and Akio Nakahara
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 6

    • DOI

      10.1103/physreve.89.061002

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Analytical calculation of four-point correlations for a simple model of cages involving numerous particles2013

    • Author(s)
      Ooshida Takeshi, Susumu Goto, Takeshi Matsumoto, Akio Nakahara, and Michio Otsuki
    • Journal Title

      Physical Review E

      Volume: 88 Issue: 6

    • DOI

      10.1103/physreve.88.062108

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] ガラス系の統計理論に対する流体屋のアプローチ2013

    • Author(s)
      大信田 丈志 ほか
    • Journal Title

      数理解析研究所講究録

      Volume: 1822 Pages: 109-139

    • Related Report
      2012 Research-status Report
  • [Journal Article] Position control of desiccation cracks by memory effect and Faraday waves2013

    • Author(s)
      H. Nakayama, Y. Matsuo, Ooshida T. and A. Nakahara
    • Journal Title

      European Physical Journal E

      Volume: 36 Issue: 1 Pages: 1-1

    • DOI

      10.1140/epje/i2013-13001-8

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] 斥力的1次元Brown粒子系の異常拡散と動的秩序構造2012

    • Author(s)
      大信田 丈志 ほか
    • Journal Title

      日本流体力学会誌「ながれ」

      Volume: 31 Pages: 475-478

    • Related Report
      2012 Research-status Report
  • [Journal Article] メモリー効果とファラデー波を用いた乾燥破壊の位置制御2012

    • Author(s)
      中山 寛士 ほか
    • Journal Title

      日本流体力学会誌「ながれ」

      Volume: 31 Pages: 499-502

    • Related Report
      2012 Research-status Report
  • [Presentation] Analysis of generalized Leutheusser equation involving a zero-frequency mode2015

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・松本剛
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2015-03-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 記憶効果による応力異方性の検出 (II)2015

    • Author(s)
      狐崎創・中原明生・松尾洋介
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] コロイド系のラベル変数理論によるテンソル的相関2014

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・松本剛
    • Organizer
      鳥取非線形研究会2014
    • Place of Presentation
      鳥取大学(鳥取県)
    • Year and Date
      2014-12-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] 記憶効果による応力異方性の検出2014

    • Author(s)
      狐崎創・中原明生・松尾洋介
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学春日井キャンパス(愛知県)
    • Year and Date
      2014-09-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] コロイド系におけるテンソル的な相関2014

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・中原明生・松本剛
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      中部大学春日井キャンパス(愛知県)
    • Year and Date
      2014-09-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] Analytical calculation of four-point correlations as indicators of collective motion in one-dimensional and two-dimensional systems of repulsive Brownian particles2014

    • Author(s)
      T. Ooshida, S. Goto, T. Matsumoto, A. Nakahara, & M. Otsuki
    • Organizer
      SigmaPhi2014: International Conference on Statistical Physics 2014
    • Place of Presentation
      Rhodos, ギリシア
    • Year and Date
      2014-07-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Collective motion in dense colloidal suspensions calculated with a two-dimensional version of the Alexander-Pincus formula in a convected coordinate system2014

    • Author(s)
      Ooshida T., S. Goto, T. Matsumoto, A. Nakahara, & M. Otsuki
    • Organizer
      Majorana Centre Conference: Single file dynamics in biophysics, physics and related fields and extensions in higher dimensions
    • Place of Presentation
      Erice, イタリア
    • Year and Date
      2014-07-05
    • Related Report
      2014 Annual Research Report
  • [Presentation] 濃密コロイド粒子系での拡散に対する密度相関の完結近似理論とRallisonの現象論の比較

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・中原明生・松本剛
    • Organizer
      第11回日本流体力学会 中四国九州支部総会・講演会
    • Place of Presentation
      広島工業大学 沼田校舎
    • Related Report
      2013 Research-status Report
  • [Presentation] Mode-coupling theory of single-file diffusion

    • Author(s)
      Ooshida Takeshi(大信田 丈志)
    • Organizer
      Physics of glassy and granular materials
    • Place of Presentation
      Yukawa Institute for Theoretical Physics, Kyoto
    • Related Report
      2013 Research-status Report
  • [Presentation] 統計的定常乱流におけるランダム外力を経由した揺動応答関係

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・中原明生・○松本剛(○は登壇者)
    • Organizer
      流体力学会年会2013
    • Place of Presentation
      東京農工大
    • Related Report
      2013 Research-status Report
  • [Presentation] 2次元コロイド粒子系における変位相関テンソルの計算

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・中原明生・松本剛
    • Organizer
      日本物理学会2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 濃密コロイド粒子系に対するラベル変数の方法:1次元での結果と2次元への拡張

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・松本剛・中原明生
    • Organizer
      鳥取非線形研究会2013
    • Place of Presentation
      鳥取大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 2次元Navier-Stokes乱流における揺動応答関係

    • Author(s)
      松本剛・大信田丈志・大槻道夫・後藤晋・中原明生
    • Organizer
      鳥取非線形研究会2013
    • Place of Presentation
      鳥取大学
    • Related Report
      2013 Research-status Report
  • [Presentation] ラベル変数による2次元粒子系の変位相関と平均二乗変位の計算

    • Author(s)
      大信田丈志・大槻道夫・後藤晋・中原明生・松本剛
    • 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] Position control of cracks in dried paste by its memory effect and Faraday waves

    • Author(s)
      A. Nakahara
    • Organizer
      Workshop on Soft Matter Physics and Solid Earth Sciences: Unifying Concepts
    • Place of Presentation
      東京大学地震研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] メモリー効果とファラデー波を用いた乾燥破壊の位置制御

    • Author(s)
      中山 寛士
    • Organizer
      日本流体力学会年会2012
    • Place of Presentation
      高知大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 斥力的1次元Brown粒子系の異常拡散と動的秩序構造

    • Author(s)
      大信田 丈志
    • Organizer
      日本流体力学会年会2012
    • Place of Presentation
      高知大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Rewriting experiment of memory in paste and its implication: how is the memory of vibration kept in the paste?

    • Author(s)
      Akio Nakahara
    • Organizer
      Nonlinearity workshop in Tottori 2012
    • Place of Presentation
      鳥取大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Memory effect of paste and its visualization as desiccation crack patterns

    • Author(s)
      Akio Nakahara
    • Organizer
      Discussion Meeting: Current Topics in Statistical Mechanics
    • Place of Presentation
      Jawaharlal Nehru University, India
    • Related Report
      2012 Research-status Report
  • [Presentation] Kraichnan-like derivation of mode-coupling theory for transient and asymptotic behavior of single-file diffusion

    • Author(s)
      Ooshida Takeshi
    • Organizer
      Discussion Meeting: Current Topics in Statistical Mechanics
    • Place of Presentation
      Jawaharlal Nehru University, India
    • Related Report
      2012 Research-status Report
  • [Presentation] Memory effect of paste and its visualization as desiccation crack patterns

    • Author(s)
      Akio Nakahara
    • Organizer
      Mini-workshop at Shantiniketan
    • Place of Presentation
      Shantiniketan University, India
    • Related Report
      2012 Research-status Report
  • [Presentation] 一列縦隊拡散における動的空間相関

    • Author(s)
      大信田 丈志
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Remarks] 塑性コラボ

    • URL

      http://www.damp.tottori-u.ac.jp/~ooshida/collab/

    • Related Report
      2014 Annual Research Report
  • [Remarks] 塑性コラボ

    • URL

      http://www.damp.tottori-u.ac.jp/~ooshida/collab/

    • Related Report
      2013 Research-status Report
  • [Remarks] 塑性コラボ

    • URL

      http://www.damp.tottori-u.ac.jp/~ooshida/collab/

    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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