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Toward experimental realization of importance sampling for measuring large deviations of non-equilibrium interface fluctuations

Research Project

Project/Area Number 20H01826
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionThe University of Tokyo

Principal Investigator

Takeuchi Kazumasa  東京大学, 大学院理学系研究科(理学部), 准教授 (50622304)

Project Period (FY) 2020-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥17,420,000 (Direct Cost: ¥13,400,000、Indirect Cost: ¥4,020,000)
Fiscal Year 2023: ¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2022: ¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000)
Fiscal Year 2021: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2020: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Keywords大偏差 / KPZ普遍クラス / 界面ゆらぎ / ランダム成長過程 / 確率的粒子輸送 / 重点サンプリング法 / 液晶乱流 / トポロジカル欠陥 / 非平衡ゆらぎ / スケーリング則 / Kardar-Parisi-Zhang普遍クラス / 液晶 / 界面 / 可積分スピン系 / 非平衡界面ゆらぎ
Outline of Research at the Start

ゆらぎには一般に、多くの標本で見られるような「典型的な」ゆらぎと、稀にしか現れない異常に大きなゆらぎがあり、後者を「大偏差」と呼ぶ。弱くしか相互作用しない自由度からなる系の場合、典型ゆらぎは通常、大数の法則と中心極限定理によって支配され、大偏差の性質も比較的よく理解されている。しかし、相互作用の強い多自由度系のゆらぎは、典型ゆらぎでも非自明であり、大偏差はさらに難しい。本研究は、強い相互作用を有し、典型ゆらぎの性質が例外的に深く理解されている界面成長の非平衡ゆらぎについて、液晶系において重点サンプリング法という手法を実装することで、大偏差の実験計測を目指すものである。

Outline of Final Research Achievements

To develop an experimental method to study large deviations of non-equilibrium interface fluctuations in the Kardar-Parisi-Zhang (KPZ) universality class, we focused on a version of the numerical scheme called the importance sampling and adapted it to our experimental system. First we tested the validity of the method numerically, by applying it to a solvable model and comparing with exact solutions. We also developed an experimental technique to generate arbitrary initial conditions with randomness in our target system based on liquid-crystal turbulence and marked steps toward real-time analysis of microscope images. We also studied microscopic elementary processes that result in the growth process of interest macroscopically, namely dynamics of topological defect lines, using a relaxation process from the turbulent state.

Academic Significance and Societal Importance of the Research Achievements

稀にしか起こらないが重要な現象は、災害など自然現象のほか、経済活動や社会現象にも見られ、統計的性質の理解は大きな学術的・社会的意義を有する。こうした大偏差の研究は、稀な事象であるがゆえに、実験研究は極めて困難である。本研究成果は、非平衡界面ゆらぎを舞台に、従来不可能であった大偏差の実験研究の端緒を開く重要な一歩である。また、非平衡界面ゆらぎ現象は、KPZの名で知られる普遍的スケーリング則を示し、統計力学、数理物理学、確率論、ランダム行列理論など、物理学と数学の諸分野が関わる他、関連する自然現象も、確率的粒子輸送現象、スピン鎖、開放量子凝縮系など多岐に渡るため、そこにも大きな学術的意義がある。

Report

(5 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • Research Products

    (66 results)

All 2024 2023 2022 2021 2020 Other

All Int'l Joint Research (9 results) Journal Article (9 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 8 results,  Open Access: 7 results) Presentation (45 results) (of which Int'l Joint Research: 19 results,  Invited: 16 results) Remarks (3 results)

  • [Int'l Joint Research] Los Alamos National Laboratory/Princeton University/University of Massachusetts(米国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] University of Bonn(ドイツ)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] CY Cergy Paris University(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] 高等師範学校/Cergy Paris Universite(フランス)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Pennsylvania State University/University of Massachusetts(米国)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute of Quantum Optics/Universitaet Bonn(ドイツ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] 高等師範学校(フランス)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Max Planck Institute of Quantum Optics/Universitaet Bonn(ドイツ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ENS-Paris(フランス)

    • Related Report
      2020 Annual Research Report
  • [Journal Article] トポロジカルな点が導く、細胞の集団運動2023

    • Author(s)
      竹内 一将
    • Journal Title

      細胞

      Volume: 55 Pages: 166-169

    • Related Report
      2022 Annual Research Report
  • [Journal Article] Active colloid with externally induced periodic bipolar motility and its cooperative motion2022

    • Author(s)
      Kato Airi N.、Takeuchi Kazumasa A.、Sano Masaki
    • Journal Title

      Soft Matter

      Volume: 18 Issue: 29 Pages: 5435-5445

    • DOI

      10.1039/d2sm00363e

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Scaling and spontaneous symmetry restoring of topological defect dynamics in liquid crystal2022

    • Author(s)
      Zushi Yohei、Takeuchi Kazumasa A.
    • Journal Title

      Proceedings of the National Academy of Sciences

      Volume: 119 Issue: 41

    • DOI

      10.1073/pnas.2207349119

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Tilt-induced polar order and topological defects in growing bacterial populations2022

    • Author(s)
      Shimaya Takuro、Takeuchi Kazumasa A
    • Journal Title

      PNAS Nexus

      Volume: 1 Issue: 5

    • DOI

      10.1093/pnasnexus/pgac269

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Scale invariance of cell size fluctuations in starving bacteria2021

    • Author(s)
      Shimaya Takuro、Okura Reiko、Wakamoto Yuichi、Takeuchi Kazumasa A.
    • Journal Title

      Communications Physics

      Volume: 4 Issue: 1 Pages: 238-238

    • DOI

      10.1038/s42005-021-00739-5

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Initial perturbation matters: Implications of geometry-dependent universal Kardar?Parisi?Zhang statistics for spatiotemporal chaos2021

    • Author(s)
      Fukai Yohsuke T.、Takeuchi Kazumasa A.
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 31 Issue: 11 Pages: 111103-111103

    • DOI

      10.1063/5.0071658

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Phase-ordering kinetics in the Allen-Cahn (Model A) class: Universal aspects elucidated by electrically induced transition in liquid crystals2021

    • Author(s)
      Almeida Renan A. L.、Takeuchi Kazumasa A.
    • Journal Title

      Physical Review E

      Volume: 104 Issue: 5 Pages: 054103-054103

    • DOI

      10.1103/physreve.104.054103

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Direct Evidence for Universal Statistics of Stationary Kardar-Parisi-Zhang Interfaces2020

    • Author(s)
      Iwatsuka Takayasu、Fukai Yohsuke T.、Takeuchi Kazumasa A.
    • Journal Title

      Physical Review Letters

      Volume: 124 Issue: 25 Pages: 250602-250602

    • DOI

      10.1103/physrevlett.124.250602

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 液晶が切り拓く非平衡統計力学の普遍法則2020

    • Author(s)
      竹内一将
    • Journal Title

      日本液晶学会誌

      Volume: 24 Pages: 218-227

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Machine tells you how many variables are at least needed to describe space-time chaos you see2024

    • Author(s)
      T. P. Shimizu, D. Nishiguchi, *K. A. Takeuchi
    • Organizer
      APS March Meeting 2024
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Three-dimensional dynamics of intersecting reconnections of topological defect lines in nematic liquid crystal2024

    • Author(s)
      図司陽平, Cody D. Schimming, 竹内一将
    • Organizer
      新学術領域研究 「情報物理学でひもとく生命の秩序と設計原理」終了報告会・第8回領域会議
    • Related Report
      2023 Annual Research Report
  • [Presentation] Scaling and symmetry of reconnecting topological defect lines in liquid crystal2023

    • Author(s)
      Y. Zushi
    • Organizer
      Frontiers in nonequilibrium physics: Active matter, topology and beyond
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Scaling and symmetry of reconnecting topological defect lines in liquid crystal2023

    • Author(s)
      Y. Zushi, K. A. Takeuchi
    • Organizer
      STATPHYS28
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Scaling and symmetry of reconnecting nematic disclinations2023

    • Author(s)
      Y. Zushi, K. A. Takeuchi
    • Organizer
      The 7th International Soft Matter Conference
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Three-dimensional dynamics of intersecting reconnection of topological defect lines in liquid crystal2023

    • Author(s)
      Y. Zushi, C. D. Schimming, K. A. Takeuchi
    • Organizer
      Advanced core-to-core network for the physics of self-organizing active matter Kick off meeting
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 3D effects of topological defects in passive and active liquid crystal2023

    • Author(s)
      K. A. Takeuchi
    • Organizer
      East Asia Joint Seminars On Statistical Physics 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3D effect of topological defects in liquid crystal and living cells2023

    • Author(s)
      K. A. Takeuchi
    • Organizer
      Statphys Kolkata XII
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 液晶&細胞集団におけるトポロジカル欠陥の3次元効果2023

    • Author(s)
      竹内一将
    • Organizer
      新学術領域研究「情報物理学でひもとく生命の秩序と設計原理」 第7回領域会議
    • Related Report
      2023 Annual Research Report
  • [Presentation] 等方的スピン鎖KPZ:普遍クラスの部分的出現2023

    • Author(s)
      竹内一将, Ofer Busani, Jacopo De Nardis, Patrik L. Ferrari, Sarang Gopalakrishnan, Romain Vasseur
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 散逸系の時空カオス現象は何個の変数で記述できるか?2023

    • Author(s)
      竹内一将
    • Organizer
      ipi-ダイキン シンポジウム
    • Related Report
      2023 Annual Research Report
  • [Presentation] 液晶トポロジカル欠陥の交差型再結合の3次元ダイナミクス2023

    • Author(s)
      図司陽平, Cody D. Schimming, 竹内一将
    • Organizer
      日本物理学会第78回年次大会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 液晶トポロジカル欠陥の交差型再結合の3次元ダイナミクス2023

    • Author(s)
      図司陽平
    • Organizer
      第22回関東ソフトマター研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] TASEPにおけるKPZ大偏差のpopulation dynamics シミュレーション2023

    • Author(s)
      柳橋勇太, 竹内一将
    • Organizer
      ipi-ダイキン シンポジウム
    • Related Report
      2023 Annual Research Report
  • [Presentation] Emergence of bacterial glass: two-step glass transition in 2D bacterial suspension2023

    • Author(s)
      K. A. Takeuchi, H. Lama, M. J. Yamamoto, Y. Furuta, T. Shimya
    • Organizer
      APS March Meeting 2023
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bacterial glass2023

    • Author(s)
      K. A. Takeuchi
    • Organizer
      Japan-France joint Seminar "Physics of dense and active disordered materials"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 液晶におけるトポロジカル線欠陥ダイナミクスの3次元蛍光イメージング2023

    • Author(s)
      図司陽平, 竹内一将
    • Organizer
      第14回光塾
    • Related Report
      2022 Annual Research Report
  • [Presentation] 液晶におけるトポロジカル線欠陥ダイナミクスの3次元観測2023

    • Author(s)
      図司陽平, 竹内一将
    • Organizer
      新学術領域研究 「情報物理学でひもとく生命の秩序と設計原理」第6回領域会議
    • Related Report
      2022 Annual Research Report
  • [Presentation] Bacterial glass2022

    • Author(s)
      K. A. Takeuchi
    • Organizer
      The 15th Asia Pacific Physics Conference (APPC15)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Scaling and spontaneous symmetry restoring of topological defect dynamics in liquid crystal2022

    • Author(s)
      K. A. Takeuchi
    • Organizer
      The 12th Dynamics Days Asia Pacific (DDAP12)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] バクテリア集団の統計力学実験2022

    • Author(s)
      竹内一将, 西口大貴
    • Organizer
      新学術領域研究 「情報物理学でひもとく生命の秩序と設計原理」第5回領域会議
    • Related Report
      2022 Annual Research Report
  • [Presentation] TASEP における KPZ 大偏差のPopulation Dynamicsシミュレーション2022

    • Author(s)
      柳橋勇太, 竹内一将
    • Organizer
      日本物理学会 2022年 秋季大会
    • Related Report
      2022 Annual Research Report
  • [Presentation] ネマチック液晶における欠陥再結合のスケーリングと対称性2022

    • Author(s)
      図司陽平, 竹内一将
    • Organizer
      2022年液晶学会討論会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 液晶におけるトポロジカル線欠陥再結合のスケーリングと対称性2022

    • Author(s)
      図司陽平, 竹内一将
    • Organizer
      第10回ソフトマター研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] バクテリア集団のガラス転移2022

    • Author(s)
      竹内一将
    • Organizer
      非平衡ソフトマター・アモルファス物質の物性解明への力学的自己組織化からの挑戦
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Kardar-Parisi-Zhang universality class2022

    • Author(s)
      K. A. Takeuchi
    • Organizer
      Stat&QuantPhys Autumn School 2022 (SQP2022)
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Initial condition dependence of KPZ universality: from soft matter experiments to quantum spin chains2022

    • Author(s)
      K. A. Takeuchi
    • Organizer
      APS March Meeting 2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Scaling and spontaneous symmetry restoring in reconnecting nematic disclinations2022

    • Author(s)
      Y. Zushi and K. A. Takeuchi
    • Organizer
      APS March Meeting 2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 3D-induced polar order & topological defects in growing bacterial populations2022

    • Author(s)
      K. A. Takeuchi and T. Shimaya
    • Organizer
      APS March Meeting 2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 高密度バクテリア集団のガラス転移2022

    • Author(s)
      竹内一将
    • Organizer
      日本物理学会 第77回年次大会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 液晶トポロジカル欠陥の3次元動力学観察と自発的対称性の回復2022

    • Author(s)
      竹内一将, 図司陽平
    • Organizer
      2022年 第69回 応用物理学会 春季学術講演会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 液晶欠陥の3次元ダイナミクス直接観察2022

    • Author(s)
      竹内一将
    • Organizer
      さきがけ「トポロジー」領域 第6回領域全体会議
    • Related Report
      2021 Annual Research Report
  • [Presentation] 三次元的に成長する大腸菌集団中のトポロジカル欠陥と極性秩序2022

    • Author(s)
      嶋屋拓朗, 竹内一将
    • Organizer
      日本物理学会 第77回年次大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Universality and Initial-Shape Dependence of Perturbation Dynamics in Spatiotemptalk Chaos2021

    • Author(s)
      K. A. Takeuchi and Y. T. Fukai
    • Organizer
      SIAM Conference on Applications of Dynamical Systems (DS21)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Universal Kardar-Parisi-Zhang statistics explored in liquid crystal turbulence2021

    • Author(s)
      K. A. Takeuchi
    • Organizer
      Autumn Meeting of the Brazilian Physics Society 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3D-induced polar order and topological defects in growing bacterial populations2021

    • Author(s)
      K. A. Takeuchi
    • Organizer
      2021 The Korean Physical Society Fall Meeting
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Confocal observation of reconnecting disclination lines in nematic liquid crystals2021

    • Author(s)
      Y. Zushi and K. A. Takeuchi
    • Organizer
      OLC2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Direct 3D observation of topological defect dynamics in liquid crystal2021

    • Author(s)
      K. A. Takeuchi
    • Organizer
      CEMS Topical Meeting Online, Emergent Nonequilibrium Dynamics in Soft Materials
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 非平衡液晶としてのバクテリア集団とそのトポロジカル欠陥2021

    • Author(s)
      竹内一将
    • Organizer
      さきがけ「トポロジー」領域 第5回領域全体会議
    • Related Report
      2021 Annual Research Report
  • [Presentation] Dynamic scaling of liquid crystal defects: microscopic and macroscopic views2021

    • Author(s)
      K. A. Takeuchi
    • Organizer
      Quantized vortices and nonlinear waves (量子渦と非線形波動)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 液晶実験から非平衡厳密解、そして量子多体系へ2020

    • Author(s)
      竹内一将
    • Organizer
      物理工学の新展開
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 液晶乱流で調べる、非平衡の不可逆的相転移とエントロピー生成2020

    • Author(s)
      竹内一将
    • Organizer
      山田科学振興財団 2020年度 研究交歓会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 液晶トポロジカル欠陥の三次元計測:ダイナミクスと構造の関係2020

    • Author(s)
      竹内一将
    • Organizer
      さきがけ「トポロジー」領域 第3回領域全体会議
    • Related Report
      2020 Annual Research Report
  • [Presentation] 高密度バクテリア集団研究のための広域マイクロ灌流系と、それによる細胞集団の統計物理学・情報物理学実験の試み2020

    • Author(s)
      竹内一将
    • Organizer
      第58回 日本生物物理学会年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 高密度バクテリア集団の統計物理実験2020

    • Author(s)
      竹内一将
    • Organizer
      新学術領域研究「生命の情報物理学」 第2回領域会議
    • Related Report
      2020 Annual Research Report
  • [Remarks] 竹内研究室ウェブページ

    • URL

      https://lab.kaztake.org/index-j.html

    • Related Report
      2023 Annual Research Report
  • [Remarks] 竹内研究室ウェブサイト

    • URL

      https://lab.kaztake.org/index-j.html

    • Related Report
      2022 Annual Research Report 2021 Annual Research Report
  • [Remarks] 研究室ウェブサイト

    • URL

      https://lab.kaztake.org/index-j.html

    • Related Report
      2020 Annual Research Report

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Published: 2020-04-28   Modified: 2025-01-30  

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