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Experimental statistical physics for macroscopic non-equilibrium systems using liquid-crystal turbulence

Research Project

Project/Area Number 25707033
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypePartial Multi-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionTokyo Institute of Technology (2015)
The University of Tokyo

Principal Investigator

Takeuchi Kazumasa  東京工業大学, 理工学研究科, 准教授 (50622304)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥18,850,000 (Direct Cost: ¥14,500,000、Indirect Cost: ¥4,350,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥8,190,000 (Direct Cost: ¥6,300,000、Indirect Cost: ¥1,890,000)
Fiscal Year 2013: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Keywords統計物理学 / 非平衡・非線形物理学 / 数理物理学 / 臨界現象 / 液晶 / 乱流 / 界面成長 / スケーリング則 / 相転移 / 数理物理
Outline of Final Research Achievements

Using electrically driven liquid-crystal turbulence, we experimentally studied universal fluctuation properties in a type of phase transitions called absorbing-state transitions as well as growth of fluctuating interfaces. For the absorbing-state transitions, we determined an optimal condition for measuring critical behavior in the presence of up-down symmetry. For the growth phenomena, we experimentally or numerically realized the following three cases: (1) outward growth from a circle, (2) inward growth from a circle, (3) growth in two regions of different growth speeds. For each case we measured statistical properties of interface fluctuations. Universality of the results was also studied through comparison with numerical simulations and collaboration with theorists.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (50 results)

All 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (3 results) Journal Article (9 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (35 results) (of which Int'l Joint Research: 11 results,  Invited: 26 results) Remarks (3 results)

  • [Int'l Joint Research] Columbia University/Georgia Institute of Technology(米国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Universite Paris-Saclay/ENS-Paris/Universite Paris 7(フランス)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Chalmers University of Technology(スウェーデン)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 確率的統計力学モデルとKPZ普遍法則 -非平衡トイモデルが自然現象と出会うとき2016

    • Author(s)
      竹内一将
    • Journal Title

      数理科学

      Volume: 631 Pages: 26-31

    • Related Report
      2015 Annual Research Report
  • [Journal Article] A KPZ Cocktail- Shaken, not stirred... Toasting 30 years of kinetically roughened surfaces2015

    • Author(s)
      Timothy Halpin-Healy and Kazumasa A. Takeuchi
    • Journal Title

      J. Stat. Phys.

      Volume: 160 Issue: 4 Pages: 794-814

    • DOI

      10.1007/s10955-015-1282-1

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] To be, or not to be -吸収状態をめぐる非平衡臨界現象の物理学2015

    • Author(s)
      竹内一将
    • Journal Title

      日本物理学会誌

      Volume: 70 Pages: 599-607

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interface fluctuations for deposition on enlarging flat substrates,2014

    • Author(s)
      I. S. S. Carrasco, K. A. Takeuchi, S. C. Ferreira, and T. J. Oliveira
    • Journal Title

      New. J. Phys.

      Volume: 16 Issue: 12 Pages: 123057-123057

    • DOI

      10.1088/1367-2630/16/12/123057

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Tracy-Widom distributions in experiment: evidence in growing interfaces of liquid crystal turbulence2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Journal Title

      MSRI Publications

      Volume: 65 Pages: 495-507

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments2014

    • Author(s)
      K.A. Takeuchi
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Volume: 2014 Issue: 1 Pages: P01006-P01006

    • DOI

      10.1088/1742-5468/2014/01/p01006

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Crossover from Growing to Stationary Interfaces in the Kardar-Parisi-Zhang Class2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Journal Title

      Phys. Rev. Lett.

      Volume: 110 Issue: 21 Pages: 210604-210604

    • DOI

      10.1103/physrevlett.110.210604

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Collective Lyapunov modes2013

    • Author(s)
      Kazumasa A. Takeuchi and Hugues Chate
    • Journal Title

      J. Phys. A: Math. Theor.

      Volume: 46 Issue: 25 Pages: 254007-254007

    • DOI

      10.1088/1751-8113/46/25/254007

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 目で見るランダム行列理論の統計則 -界面ゆらぎでの実例2013

    • Author(s)
      竹内一将
    • Journal Title

      応用数理

      Volume: 23(2) Pages: 10-19

    • NAID

      110009616454

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] 未定2017

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Fundamental Problems in Statistical Physics XIV
    • Place of Presentation
      Bruneck (Italy)
    • Year and Date
      2017-07-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 未定2017

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Frontiers in Mathematical Physics
    • Place of Presentation
      立教大学
    • Year and Date
      2017-01-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ASEP as a surface growth model: universal fluctuation and its experimental test2016

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Statistical Physics workshop on Recent Developments in Asymmetric Exclusion Processes and its Applications
    • Place of Presentation
      Tehran (Iran)
    • Year and Date
      2016-09-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 界面成長の普遍ゆらぎにおける時間相関の異常性(仮題)2016

    • Author(s)
      竹内一将
    • Organizer
      異常拡散現象をめぐる最近の進展
    • Place of Presentation
      慶應大学
    • Year and Date
      2016-08-31
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] The Kardar-Parisi-Zhang equation (仮題)2016

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Summer School on Non-equilibrium Statistical Physics and Active Matter Systems
    • Place of Presentation
      北京(中国)
    • Year and Date
      2016-08-08
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous time correlation of KPZ and weak ergodicity breaking2016

    • Author(s)
      Kazumasa A. Takeuchi and Takuma Akimoto
    • Organizer
      STATPHYS26
    • Place of Presentation
      Lyon (France)
    • Year and Date
      2016-07-18
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Slow relaxation and aging of universal KPZ fluctuations: how different are circular and flat interfaces?2016

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Stat'Phys 26 - Statistical Physics Conference Satellite, Non-equilibrium dynamics in classical and quantum systems: From quenches to slow relaxations
    • Place of Presentation
      Pont-a-Mousson (France)
    • Year and Date
      2016-07-13
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exploring geometry dependence of KPZ interfaces2016

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      新学術領域「ゆらぎと構造の協奏」 第3回領域研究会
    • Place of Presentation
      九州大学
    • Year and Date
      2016-06-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Time correlation properties of KPZ fluctuations: from experimental perspectives2016

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      KITP program, New approaches to non-equilibrium and random systems: KPZ integrability, universality, applications and experiments
    • Place of Presentation
      Santa Barbara (USA)
    • Year and Date
      2016-02-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 液晶が繋ぐ量子乱流と古典乱流 ~非平衡相転移という視点から~2016

    • Author(s)
      竹内一将
    • Organizer
      量子乱流と古典乱流の邂逅
    • Place of Presentation
      東京大学
    • Year and Date
      2016-01-07
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Random-matrix distributions under microscope: evidence for universal interfacial fluctuations2015

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      RMT2015: Random matrix theory from fundamental mathematics to biological applications
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2015-11-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] さまざまなスケールで現れる界面ゆらぎの普遍法則2015

    • Author(s)
      竹内一将
    • Organizer
      第4回 関西若手物性研究会 さまざまなスケールから見る物性 ~ソフトマターからストリングまで~
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-10-17
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Universal Fluctuations of Growing Interfaces2015

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      iCeMS International Symposium: Hierarchical Dynamics in Soft Materials and Biological Matter
    • Place of Presentation
      京都大学
    • Year and Date
      2015-09-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weak ergodicity breaking in KPZ-class growing interfaces2015

    • Author(s)
      Kazumasa A. Takeuchi and Takuma Akimoto
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2015
    • Place of Presentation
      京都大学
    • Year and Date
      2015-08-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Universal transitions to turbulence: from simple fluid to liquid crystal, and quantum fluid2015

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Yukawa International Seminar 2015 (YKIS2015): New Frontiers in Non-equilibrium Statistical Physics 2015
    • Place of Presentation
      京都大学
    • Year and Date
      2015-08-19
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 乱流相転移の普遍性:古典流体、液晶から量子流体まで2015

    • Author(s)
      竹内一将
    • Organizer
      新学術領域「ゆらぎと構造の協奏」 第2回公開シンポジウム
    • Place of Presentation
      東京大学
    • Year and Date
      2015-05-01
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 非平衡ゆらぎのKPZ普遍クラス:界面から絶縁体抵抗まで2015

    • Author(s)
      竹内一将
    • Organizer
      統計物理学懇談会(第3回)
    • Place of Presentation
      慶應義塾大学(神奈川県横浜市)
    • Year and Date
      2015-03-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Universal fluctuations of growing interfaces and characterization via sign renewals2015

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Kyoto Winter School for Statistical Mechanics, Focus Meeting
    • Place of Presentation
      Kyoto (Japan)
    • Year and Date
      2015-02-17
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 液晶で探る、ゆらぐ界面成長の非平衡普遍法則2014

    • Author(s)
      竹内一将
    • Organizer
      第8回 物性科学領域横断研究会
    • Place of Presentation
      大阪大学(大阪府大阪市)
    • Year and Date
      2014-11-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Weak ergodicity breaking in KPZ-class interfaces2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Fluctuation and Correlation in Stochastic Systems
    • Place of Presentation
      Tokyo (Japan)
    • Year and Date
      2014-10-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 液晶の「量子渦」と乱流2014

    • Author(s)
      竹内一将
    • Organizer
      日本物理学会 2014 秋季大会
    • Place of Presentation
      中部大学(愛知県春日井市)
    • Year and Date
      2014-09-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] KPZ-class interfaces in turbulent liquid crystal: beyond a "mere" confirmation2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Interface fluctuations and KPZ universality class - unifying mathematical, theoretical, and experimental approaches
    • Place of Presentation
      Kyoto (Japan)
    • Year and Date
      2014-08-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] ゆらぐ界面成長の普遍法則2014

    • Author(s)
      竹内一将
    • Organizer
      新学術領域「ゆらぎと構造の協奏」 第一回若手勉強会「非平衡統計力学の基礎理論」
    • Place of Presentation
      慶應義塾大学(神奈川県横浜市)
    • Year and Date
      2014-08-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Experimental evidence of KPZ growing interfaces and beyond2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      School on Non-linear Dynamics, Dynamical Transitions and Instabilities in Classical and Quantum Systems
    • Place of Presentation
      Trieste (Italy)
    • Year and Date
      2014-08-01
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Covariant Lyapunov vectors capture the collective dynamics of large chaotic systems2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Dynamics Days Asia Pacific 08
    • Place of Presentation
      Chennai (India)
    • Year and Date
      2014-07-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Turbulent liquid crystals unveil universal fluctuation properties of growing interfaces2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Advances in Nonequilibrium Statistical Mechanics
    • Place of Presentation
      Florence (Italy)
    • Year and Date
      2014-06-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 液晶の“量子渦”乱流が見せる非平衡臨界現象の世界2014

    • Author(s)
      竹内一将
    • Organizer
      物性研短期研究会 スーパーマターが拓く新量子現象
    • Place of Presentation
      東京大学物性研究所(千葉県柏市)
    • Year and Date
      2014-04-17
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Exploring universal scaling laws far from equilibrium with turbulent liquid crystal2014

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      APS March Meeting 2014
    • Place of Presentation
      Denver, USA
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] KPZ界面成長における、弱いエルゴード性の破れ2014

    • Author(s)
      竹内一将
    • Organizer
      日本物理学会 2014年次大会
    • Place of Presentation
      東海大学(神奈川県)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Exploring universal out-of-equilibrium scaling laws with turbulent liquid crystal2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      STATPHYS25
    • Place of Presentation
      Seoul, Korea
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Emergence of random-matrix statistics as universal properties of growing interfaces2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Mathematical Statistical Physics
    • Place of Presentation
      京都大学(京都府)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Powerful and geometry-dependent universality in growing interfaces2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      Small Systems far from Equilibrium: Order, Correlations, and Fluctuations
    • Place of Presentation
      Dresden, Germany
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Critical phenomena out of equilibrium probed by liquid-crystal turbulence2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      East Asia Joint Seminars on Statistical Physics 2013
    • Place of Presentation
      京都大学(京都府)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Experimental evidence for universal fluctuation properties of growing interfaces2013

    • Author(s)
      Kazumasa A. Takeuchi
    • Organizer
      12th Workshop on Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      東京大学(東京都)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] ゆらぐ界面成長にひそむ非平衡普遍法則2013

    • Author(s)
      竹内一将
    • Organizer
      新学術領域研究「ゆらぎと構造の協奏」 第1回領域研究会
    • Place of Presentation
      KKRホテル熱海(静岡県)
    • Related Report
      2013 Annual Research Report
  • [Remarks] 竹内研究室 研究内容紹介ページ

    • URL

      http://lab.kaztake.org/research-j.html

    • Related Report
      2015 Annual Research Report
  • [Remarks] 竹内一将 -Official Website-

    • URL

      http://jp.kaztake.org

    • Related Report
      2014 Annual Research Report
  • [Remarks] 竹内一将 -Official Website-

    • URL

      http://jp.kaztake.org

    • Related Report
      2013 Annual Research Report

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Published: 2013-05-21   Modified: 2022-01-27  

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