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Dynamics of Quantum Vortex in Superfluid and Superconductor

Research Project

Project/Area Number 18540387
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

SASA Narimasa  Japan Atomic Energy Agency, Center for Computational Science and e-System, Researcher (10360421)

Co-Investigator(Kenkyū-buntansha) MACHIDA Masahiko  Japan Atomic Energy Agency, Center for Computational Science and e-System, Senior Researcher (60360434)
TSUBOTA Makoto  Osaka City University, Graduate School of Science, Professor (10197759)
KOYAMA Tomio  Tohoku University, Institute for Materials Research, Assistant (30153696)
Project Period (FY) 2006 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,750,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥450,000)
Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2006: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywordssuperfluid turbulence / vortex / kolmogorov / Gross-Pitaevskii / self-similarity / 自己相似構造 / 量子過糸 / 原子・分子物理 / 物性理論 / 計算物理
Research Abstract

Aim of this research is to study dynamics of vortex and its statistical law in superfluid and superconductor. We numerically integrate the 3-D time-dependent Gross-Pitaevskii equation in order to examine how superfluid turbulent state dynamically changes from initial conditions fully complicated. The energy spectrum of the superfluid turbulence is studied numerically by change the system size from 256^3 to 2048^3. We confirm that the Kolmogorov's 5/3 low is valid in the system and the inertial range become wide with changing the system size. However, we find that the bottleneck effect of quantized vortex prevent the smooth energy cascade transferring from large scale to small one. A bump figure appears in the energy spectrum. We also find that the tangle state of quantized vortex make large scale self-similarity structure like a classical turbulence.

Report

(3 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • Research Products

    (41 results)

All 2008 2007 2006

All Journal Article (34 results) (of which Peer Reviewed: 14 results) Presentation (7 results)

  • [Journal Article] 非線形シュレーディンガー方程式が記述する大規模乱流構造2008

    • Author(s)
      佐々成正
    • Journal Title

      応用力学研究所研究集会報告 No.19ME-S2

      Pages: 125-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 非線形シュレーディンガー方程式の記述する大規模乱流構造2008

    • Author(s)
      佐々 成正、叶野 琢磨、町田 昌彦
    • Journal Title

      Reports of RIAM Symposium 19

      Pages: 19-19

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Direct Numerical Simulationfor Non-equilibrium Superconducting Dynamics at the Transition Edge2008

    • Author(s)
      M. Machida, T. Koyama, M. Kato, and T. Ishida
    • Journal Title

      J.Low Temp.Phys. 58

      Pages: 151-151

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generation of turbulence by oscillating structures in superfluid helium at very low temperatures2007

    • Author(s)
      R.Haunninen
    • Journal Title

      Phys.Rev.B 75

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Quantum Turbulence-Another da Vinci Code-2007

    • Author(s)
      M.Tsubota
    • Journal Title

      Prog.Theor.Phys.Suppl. 166

      Pages: 152-158

    • NAID

      110006278226

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Quantum dynamics of the phase difference in an assembly of closed 0π Josephson junctions made by d-and s-wave superconductors2007

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 460-462

      Pages: 1305-1306

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Quantum correction to the discrete breather in capacitively-coupled intrinsic Josephson junctions2007

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 460-462

      Pages: 1321-1322

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Superconducting symmetries of nano-structured anisotropic superconductors2007

    • Author(s)
      M.Kato
    • Journal Title

      Physica C 460-462

      Pages: 1436-1437

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Theory for collective macroscopic tunneling in high-Tc intrinsic Josephson junctions2007

    • Author(s)
      M.Machida
    • Journal Title

      Physica C 463-465

      Pages: 84-88

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Anisotropic superconductors in nano-structures2007

    • Author(s)
      M.Kato
    • Journal Title

      Physica C 463-465

      Pages: 254-257

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Quasi-particle spectrum of giant vortex states in a square nanoscopic superconducting plate2007

    • Author(s)
      H.Suematsu
    • Journal Title

      Physica C 463-465

      Pages: 262-265

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Macroscopic quantum effect in intrinsic Josephson junctions containing magnetic flux2007

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 463-465

      Pages: 985-988

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Quantum Turbulence in a Trapped Bose-Einstein Condensate2007

    • Author(s)
      M.Kobayashi
    • Journal Title

      Phys.Rev.A 76

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Generation of turbulence by oscillating structures in superfluid helium at very low temperratures2007

    • Author(s)
      R. Haunninen, M. Tsubota, W. F. Vinen
    • Journal Title

      Phys. Rev. B 75

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quantum Turbulence - Another da Vinci Code -2007

    • Author(s)
      M. Tsubota
    • Journal Title

      Prog. Theor. Phys. Suppl. 166

      Pages: 152-158

    • NAID

      110006278226

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quantum dynamics of the phase difference in an assembly of closed 0πJosephson junctions made by d- and s-wave superconductors2007

    • Author(s)
      T. Koyama, M. Machida, m. Kato, T. Ishida
    • Journal Title

      Physica C 460-462

      Pages: 1305-1306

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quantum correction to the discrete breather in capacitively-coupled intrinsic Josephson junctions2007

    • Author(s)
      T. Koyama, M. Machida
    • Journal Title

      Physica C 460-462

      Pages: 1321-1322

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Superconducting symmetries of nano-structured anisotropic superconductors2007

    • Author(s)
      M. Kato, T. Koyama, M. Machida, T. Ishida
    • Journal Title

      Physica C 460-462

      Pages: 1436-1437

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Theory for collective macroscopic tunneling in high-Tc intrinsic Josephson junctions2007

    • Author(s)
      M. Machida, T. Koyama
    • Journal Title

      Physica C 463-465

      Pages: 84-88

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Anisotropic superconductors in nano-structures2007

    • Author(s)
      M. Kato, T. Koyama, M. Machida, T. Ishida
    • Journal Title

      Physica C 463-465

      Pages: 254-257

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quasi-particle spectrum of giant vortex states in a square nanoscopic superconducting plate2007

    • Author(s)
      H. Suematsu, M. Kato, M. Machida, T. Koyama, T. Ishida
    • Journal Title

      Physica C 463-465

      Pages: 262-265

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Macrscopic quantum effect in intrinsic Josephson junctions containing magnetic flux2007

    • Author(s)
      T. Koyama, M. Machida, M. Kato, T. Ishida
    • Journal Title

      Physica C 463-465

      Pages: 985-988

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quantum Turbulence in a Trapped Bose-Einstein Condensate2007

    • Author(s)
      M. Kobayashi, M. Tsubota
    • Journal Title

      Phys. Rev. A 76

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Quantum Turbulence in a Trapped Bose-Einstein Condensate2007

    • Author(s)
      M. Kobayashi, M. Tsubota
    • Journal Title

      Physical Review A 76

      Pages: 45603-45607

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time-depnedent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover2006

    • Author(s)
      M.Machida
    • Journal Title

      Phys.Rev.A 74

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Thermal dissipation in quantum turbulence2006

    • Author(s)
      M.Kobayashi
    • Journal Title

      Phys.Rev.Lett. 97

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Time-depnedent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover2006

    • Author(s)
      M. Machida, T. Koyama
    • Journal Title

      Phys. Rev. A 74

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Thermal dissipation in quantum turbulence2006

    • Author(s)
      M. Kobayashi, M. Tsubota
    • Journal Title

      Phys. Rev. Lett. 97

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Time-dependent Ginzburg-Landau Theory for Atomic Fermi Gases near BCS-BEC Crossover2006

    • Author(s)
      M.Machida
    • Journal Title

      Physical Review A. 74

      Pages: 33603-33603

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Effects of Edge Boundaries on Josephson Vortices in Finite-Size Layered High-Tc Superconductors2006

    • Author(s)
      M.Machida
    • Journal Title

      Physical Review Letters 96

      Pages: 97002-97002

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Correction due to the Goldstone Mode in Neutral BCS Superconductors2006

    • Author(s)
      T.Koyama
    • Journal Title

      Physica C 437-438

      Pages: 162-167

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Quantized vortices in superfluid helium and Bose-Einstein condensates2006

    • Author(s)
      M.Tsubota
    • Journal Title

      Journal of Physics [Conference Series] 31

      Pages: 88-94

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On-site pairing and microscopic inhomogeneneity in confined lattice fermion systems2006

    • Author(s)
      M.Machida
    • Journal Title

      Physical Review A.

      Pages: 53621-53621

    • Related Report
      2006 Annual Research Report
  • [Journal Article] シンプレクティック数値積分のBEC系への応用2006

    • Author(s)
      佐々 成正
    • Journal Title

      京都大学数理解析研究所講究録 1437

      Pages: 74-78

    • Related Report
      2006 Annual Research Report
  • [Presentation] 超流動乱流状態における大規模自己相似構造2008

    • Author(s)
      佐々成正
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      近畿大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 超流動乱流状態における大規模自己相似構造2008

    • Author(s)
      佐々 成正
    • Organizer
      日本物理学会、第63回年次大会
    • Place of Presentation
      近畿大学、大阪
    • Related Report
      2007 Annual Research Report
  • [Presentation] 回転BEC系における量子乱流状態2007

    • Author(s)
      佐々成正
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      鹿児島大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 2成文TDGL方程式によるフェルミ原子気体の3次元ダイナミクス2007

    • Author(s)
      佐々成正
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      北海道大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 非線形シュレーディンガー方程式の記述する大規模乱流構造2007

    • Author(s)
      佐々成正
    • Organizer
      研究集会「戸田格子40周年 非線形波動研究の歩みと展望」
    • Place of Presentation
      九州大学応用力学研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 2成文TDGL方程式によるフェルミ原子気体のダイナミクス解析2006

    • Author(s)
      佐々成正
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      千葉大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 極低温原子気体における非線形ダイナミクス2006

    • Author(s)
      佐々成正
    • Organizer
      研究集会「非線形波動における基礎理論、数値計算および実験のクロスオーバー」
    • Place of Presentation
      九州大学応用力学研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2006-04-01   Modified: 2016-04-21  

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