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Quest for novel and universal dynamics weaved by topological defects

Research Project

Project/Area Number 26870295
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Condensed matter physics II
Research InstitutionKyoto University

Principal Investigator

Kobayashi Michikazu  京都大学, 理学研究科, 助教 (50433313)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords超流動 / 量子渦 / 量子乱流 / ヘリシティカスケード / エネルギー逆カスケード / トポロジカル欠陥 / 非可換量子渦 / カスケード / Kosterlitz-Thouless転移 / マルチギャップ超伝導 / 非可換量子乱流 / エネルギースペクトル / 結び目 / 絡み目 / 相転移 / パーコレーション / 乱流転移 / 向き付きパーコレーション / 南部・ゴールドストーンモード
Outline of Final Research Achievements

This work studies ordered states such as crystals, magnetic materials, and superfluids. In non-equilibrium, the ordered state are characterized by their topological structures, and the systems can have topological defects, the properties of which are determined by their topologies. The main purpose of this work is to quests universal statistical law in various dynamics of topological defects in various systems. The most successful result of this work is obtaining a new statistical law of quantum turbulence comprised of quantum vortices which are 1-dimensional topological defects in superfluids, when there are not only dynamical but also topological interactions between vortices.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (42 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (12 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 12 results,  Acknowledgement Compliant: 5 results,  Open Access: 3 results) Presentation (26 results) (of which Int'l Joint Research: 9 results,  Invited: 14 results) Book (1 results) Remarks (1 results)

  • [Int'l Joint Research] パリ第6大学(フランス)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] ウズベキスタン国立大学(ウズベキスタン)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Is a Doubly Quantized Vortex Dynamically Unstable in Uniform Superfluids?2017

    • Author(s)
      Hiromitsu Takeuchi, Michikazu Kobayashi and Kenichi Kasamatsu
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 87 Issue: 2 Pages: 023601

    • DOI

      10.7566/jpsj.87.023601

    • NAID

      130007646688

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2020040

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle2016

    • Author(s)
      Michikazu Kobayashi and Leticia F. Cugliandolo
    • Journal Title

      Phys.Rev.

      Volume: E94 Issue: 6

    • DOI

      10.1103/physreve.94.062146

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermal quenches in the stochastic Gross-Pitaevskii equation: Morphology of the vortex network2016

    • Author(s)
      Michikazu Kobayashi and Leticia F. Cugliandolo
    • Journal Title

      Europhysics Letters

      Volume: 115 Issue: 2 Pages: 20007-20007

    • DOI

      10.1209/0295-5075/115/20007

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamics of trapped interacting vortices in Bose-Einstein condensates: a role of breathing degree of freedom2016

    • Author(s)
      Katsuhiro Nakamura, Doniyor Babajanov, Davron Matrasulov, Michikazu Kobayashi, and Paulsamy Muruganandam
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 49 Issue: 31 Pages: 315102-315102

    • DOI

      10.1088/1751-8113/49/31/315102

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Interpolating relativistic and nonrelativistic Nambu-Goldstone and Higgs modes2015

    • Author(s)
      Michikazu Kobayashi and Muneto Nitta
    • Journal Title

      Physical Review D

      Volume: 92 Issue: 4

    • DOI

      10.1103/physrevd.92.045028

    • NAID

      120005672573

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems2015

    • Author(s)
      Daisuke Takahashi, Michikazu Kobayashi, and Muneto Nitta
    • Journal Title

      Physical Review B

      Volume: 91 Issue: 18

    • DOI

      10.1103/physrevb.91.184501

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nonrelativistic Nambu-Goldstone Modes Associated with Spontaneously Broken Space-Time and Internal Symmetries2014

    • Author(s)
      Michikazu Kobayashi, Muneto Nitta
    • Journal Title

      Phys.Rev.Lett.

      Volume: 113 Issue: 12 Pages: 120403-120403

    • DOI

      10.1103/physrevlett.113.120403

    • NAID

      120005477680

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nonrelativistic Nambu-Goldstone modes propagating along a Skyrmion line2014

    • Author(s)
      Michikazu Kobayashi, Muneto Nitta
    • Journal Title

      Phys.Rev.D

      Volume: 90 Issue: 2 Pages: 025010-025010

    • DOI

      10.1103/physrevd.90.025010

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Color Magnetism in Non-Abelian Vortex Matter2014

    • Author(s)
      Michikazu Kobayashi, Eiji Nakano, Muneto Nitta
    • Journal Title

      JHEP

      Volume: 1406 Issue: 6 Pages: 130-130

    • DOI

      10.1007/jhep06(2014)130

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Torus knots as Hopfions2014

    • Author(s)
      Michikazu Kobayashi and Muneto Nitta
    • Journal Title

      Physics Letters B

      Volume: 728 Pages: 314-318

    • DOI

      10.1016/j.physletb.2013.12.002

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Vortex polygons and their stabilities in Bose-Einstein condensates and field theory2014

    • Author(s)
      Michikazu Kobayashi and Muneto Nitta
    • Journal Title

      Journal of Low Temperature Physics

      Volume: 175 Issue: 1-2 Pages: 208-215

    • DOI

      10.1007/s10909-013-0977-4

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Kelvin modes as Nambu-Goldstone modes along superfluid vortices and relativistic strings: finite volume size effects2014

    • Author(s)
      Michikazu Kobayashi and Muneto Nitta
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 021B01 Issue: 2 Pages: 1-6

    • DOI

      10.1093/ptep/ptu017

    • NAID

      120005466629

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 3次元量子乱流におけるエネルギー・ヘリシティ2重カスケード2018

    • Author(s)
      小林未知数
    • Organizer
      研究会「第4回 量子渦と非線形波動」, 東京理科大学神楽坂キャンパス
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 非可換量子乱流におけるエネルギーおよびヘリシティーカスケード2018

    • Author(s)
      小林未知数、上田正仁
    • Organizer
      日本物理学会第73回年次大会, 東京理科大学野田キャンパス
    • Related Report
      2017 Annual Research Report
  • [Presentation] Energy-helicity dual cascades in non-Abelian quantum turbulence2017

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      Topological Science Symposium 2017, Keio University, Yokohama, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Energy and helicity cascade in non-Abelian quantum turbulence2017

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      Advances in Mathematical Modelling and Numerical Simulation of Superfluids, Universite de Rouen, Normandie, France
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジカル欠陥のダイナミクスと量子乱流2017

    • Author(s)
      小林未知数
    • Organizer
      理研シンポジウム・iTHES/iTHEMS研究会 2017 非平衡物理の最前線-素粒子・宇宙から物性まで-, 理化学研究所・鈴木梅太郎記念ホール
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 2成分ボース系における量子渦のトポロジーおよびBKT転移2017

    • Author(s)
      小林未知数、衛藤稔、新田宗土
    • Organizer
      日本物理学会2017年秋季大会, 岩手大学上田キャンパス
    • Related Report
      2017 Annual Research Report
  • [Presentation] Energy and helicity cascades in non-Abelian quantum turbulence2017

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      International Conference on Ultra Low Temperature Physics, Heidelberg University, Heidelberg, Germany
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topologically protected linking number cascade in non-Abelian quantum turbulence2017

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      Topological Science Workshop 2017
    • Place of Presentation
      Hiyoshi Campus, Keio University, Yokohama, Kanagawa, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 非可換量子乱流で実現する新しい乱流のユニバーサリティクラス2017

    • Author(s)
      小林未知数
    • Organizer
      新学術領域「ゆらぎと構造」第2回冷却原子研究会
    • Place of Presentation
      大阪市立大学杉本キャンパス, 大阪府大阪市住吉区杉本3-3-138
    • Related Report
      2016 Research-status Report
  • [Presentation] 非線形シュレディンガー方程式で記述される量子流体力学および乱流2017

    • Author(s)
      小林未知数
    • Organizer
      北陸応用数理研究会2017
    • Place of Presentation
      しいのき迎賓館3Fセミナールーム, 石川県金沢市広坂2-1-1
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Linking number cascade in non-Abelian quantum turbulence2016

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      26th IUPAP International conference on Statistical Physics
    • Place of Presentation
      Palais des Congres, Lyon, France
    • Year and Date
      2016-07-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] スピノル・ボース・アインシュタイン凝縮とヘリシティ2016

    • Author(s)
      小林未知数
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学泉キャンパス
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Vortices and other topological defects in ultracold atomic gases2016

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      Core-to-Core International meeting χMag2016 Symposium
    • Place of Presentation
      Oriental Hotel Hiroshima
    • Year and Date
      2016-02-21
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Thermodynamic phase transition and quantized vortices in Bose-Einstein condensates2016

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      研究会「量子渦と非線形波動」
    • Place of Presentation
      東京理科大学森戸記念館
    • Year and Date
      2016-01-19
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 量子流体におけるトポロジカル欠陥の非可換性および量子乱流への影響2016

    • Author(s)
      小林未知数
    • Organizer
      平成27年度物性研究所短期研究会「量子乱流と古典乱流の邂逅」
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2016-01-05
    • Related Report
      2015 Research-status Report
  • [Presentation] Turbulence in quantum hydrodynamics2016

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      RIMS workshop on "Mathematial Analysis of Viscous Inconpressible Fluid"
    • Place of Presentation
      Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quantum nature and statistical law in quantum turbulence2016

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      CIRM conference "New Challenges in Mathematical Modelling and Numerical Simulation of Superfluids"
    • Place of Presentation
      Centre International de Rencontres Mathematiques, Luminy, Marseille, France
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子乱流におけるヘリシティ2016

    • Author(s)
      小林未知数
    • Organizer
      研究会「第3回量子渦と非線形波動」
    • Place of Presentation
      東京理科大学神楽坂キャンパス, 東京都新宿区神楽坂1-3
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 対称性の破れに基づく結晶の有効理論の構築およびトポロジカル欠陥の動力学2016

    • Author(s)
      小林未知数
    • Organizer
      IMI研究集会「結晶のらせん転移の数理」
    • Place of Presentation
      九州大学伊都キャンパス, 福岡県福岡市西区元岡744
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 発達量子乱流におけるケルビン波カスケード2016

    • Author(s)
      小林未知数
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス, 石川県金沢市角間町
    • Related Report
      2016 Research-status Report
  • [Presentation] 2次元スピノル・ボース・アインシュタイン凝縮におけるKosterlitz-Thouless転移2015

    • Author(s)
      小林未知数
    • Organizer
      東大物性研短期研究会「スピン系物理の深化と最前線」
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2015-11-16
    • Related Report
      2015 Research-status Report
  • [Presentation] 量子乱流に潜む量子渦の不変構造、およびその探索に向けて2015

    • Author(s)
      小林未知数
    • Organizer
      第9回物性科学領域横断研究会ー凝縮系科学の最前線
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2015-11-13
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 2次元スピノル・ボース原子気体における量子渦とKosterlitz-Thouless転移の関係2015

    • Author(s)
      小林未知数
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] Quantum Turbulence in Spinor Bose-Einstein Condensates2015

    • Author(s)
      Michikazu Kobayashi
    • Organizer
      International Symposium on Fluctuation and Structure out of Equilibrium 2015
    • Place of Presentation
      Kyoto University
    • Year and Date
      2015-08-20
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] スピン1イジング強磁性BECにおけるcomposite quantum turbulence2015

    • Author(s)
      小林未知数
    • Organizer
      新学術領域研究研究集会「ゆらぎと構造の協奏」
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2015-05-01
    • Related Report
      2015 Research-status Report
  • [Presentation] 冷却スピノル・ボース原子気体におけるKosterlitz-Thouless転移2015

    • Author(s)
      小林未知数
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Book] 量子流体力学2018

    • Author(s)
      坪田誠、笠松健一、小林未知数、竹内宏光
    • Total Pages
      350
    • Publisher
      丸善出版
    • ISBN
      9784621302477
    • Related Report
      2017 Annual Research Report
  • [Remarks] 小林未知数

    • URL

      http://www.ton.scphys.kyoto-u.ac.jp/~michikaz/index_j.html

    • Related Report
      2017 Annual Research Report

URL: 

Published: 2014-04-04   Modified: 2020-05-15  

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