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Decay of a quantized vortex tangle at a very low temperature

Research Project

Project/Area Number 12640357
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionOsaka City University

Principal Investigator

TSUBOTA Makoto  Osaka City University, Graduate School, Department of Physics, Associate Professor, 大学院・理学研究科, 助教授 (10197759)

Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
KeywordsSuperfluid helium / Quantized vortex / Superfluid turbulence / Bose-Einstein condensation / Gross-Pitaevskii equation / Kolmogorov law / 渦格子 / コルモゴロフ則 / 中性原子気体 / カスケード過程 / 再結合 / 渦糸近似
Research Abstract

We studied theoretically and numerically the vortex dynamics in superfluid helium and Bose-Einsteincondensate of Alkali atomic gas. The obtained results are the following.
Superfluid helium : We studied the energy spectrum of superfluid turbulent state, thus finding the Kolmogorov -5/3 law which is the most important statistical law in classical turbulence. The diffusion of a vortex tangle is studied. The vortex tangle under rotation was found to be polarized along the rotational axis.
Alkali atomic Bose-Einstein condensate : By studying numerically the Gross-Pitaevskii equation under rotation, we found that the condensate undergoes elliptic deformation, followed by unstable surface-mode excitations before forming a quantized vortex lattice; the results are qualitatively consistent with the experimental results.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] M.Tsubota, T.Araki, S.K.Nemirovski: "Dynamic of vortex tangle without mutual friction in superfluid ^4He"Phys. Rev. B. 62. 11751-11762 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Kobayashi, M.Tsubota: "Bose/Einstein coeducation and superflnidly of a dilate random potential"Phys. Rev. B. 66. 174516-1-174516-7 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Araki, M.Tsubota, S.K.Nemirovski: "Energy Spectrum of Superfluid Turbulence with No-Nomal-fluid component"Phys. Rev. Lett.. 89. 145301-1-145301-4 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kasamatsu, M.Tsubota, M.Ueda: "Giant hole and circular superflow in a fast rotating Bose-Einstein condensate"Phys. Rev. A. 66. 053606-1-053606-4 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kasamatsu, M.Tsubota, M.Ueda: "Non liner dynamics of vortex lattice formation in a rotating Bose-Einstein condensate"Phys. Rev. A. 67. 033610-1-033610-14 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Tsubota, T.Araki, C.F.Barengles: "Rotating Superfluid Turbulence"Phys. Rev. Lett.. 90. 205301-1-205301-4 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 坪田 誠 他10名: "バリティブックス レーザー冷却がひらく原子波の世界"丸善(勝本信吾責任編集). 165 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Tsubota. T. Araki, C.F. Barenghi: "Rotating Superfluid Turbulence"Phys. Rev. Lett.. 90,205301. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kasamatsu, M. Tsubota and M. Ueda: "Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate"Phys. Rev. A. 67,033610. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Kobayashi, M. Tsubota: "Bose-Einstein condensation and superfluidity of a dilute Bose gas in a random potential"Phys. Rev. B. 66,174516. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kasamatsu, M. Tsubota, M. Ueda: "Giant Hole and Circular Superflow in a fast rotating Bose-Einstein Condensate"Phys. Rev. A. 66,053606. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Araki, M. Tsubota, S.K. Nemirovskii: "Energy Spectrum of Superfluid Turbulence with No Normal-fluid Component"Phys. Rev. Lett.. 89,145301. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S. Ogawa, M. Tsubota, Y. Hattori: "Study of Reconnection and Acoustic Emission of Quantized Vortices in Superfluid by Numerical Analysis of the Gross-Pitaevskii Equation"J Phys. Soc. Jpn.. 71. 813-821 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Tsubota, K. Kasamatsu, M. Ueda: "Vortex Lattice Formation in a Rotating Bose-Einstein Condensate"Phys. Rev. A. 65,023603. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kasamatsu and M. Tsubota: "Vortex Generation in Cyclically coupled superfluids and the Kibble-Zureck mechanism"J. Low Temp. Phys.. 126. 315-320 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kasamatsu, Y. Yasui and M. Tsubota: "Macroscopic quantum tunneling of two-component Bose-Einstein condensate"Phys. Rev. A. 64,053605. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Tsubota, T. Araki and S.K. Nemirovskii: "Dynamics of vortex tangle without mutual in superfluid 4 He"Phys. Rev. B. 62. 11751-11762 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T.Araki, M.Taubota, S.K.Nemirovskii: "Energy Spectrum of Superfluid Trubulence with No Normal-Fluid Component"Physical Review Letters. 89・14. 145301-1-145301-4 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Kobayashi, M.Tsubota: "Bose-Einstein condensation and superfluidity of a dilute Bose gas In a random potential"Physical Review B. 66. 174516-1-174516-7 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Kasamatsu, M.Tsubota, M.Ueda: "Giant hole and circular superflow In a fast rotating Bose-Einstein condensate"Physical Review A. 66. 053606-1-053606-4 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Iida, M.Tsubota: "Ordering state and superfluidity of quasi-two-dimensional excitons in type-II quantum wells"Phase Transitions. 75,7-8. 961-969 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 坪田 誠 他10名: "パリティブックス レーザー冷却がひらく原子波の世界"丸善(勝本信吾責任編集). 165 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Tsubota, K.Kasamatsu, M.Ueda: "Vortex Lattice Formation in a Rotating Bose-Einstein Condensate"Physical Review A. 65. 023603 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.K.Nemirovskii, M.Tsubota, T.Araki: "Energy Spectrum of the Random Velocity Field Induced by a Gaussian Vortex Tangle in Hell"Journal of Low Temperature Physics. 126 3/4. 1535-1540 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Araki, M.Tsubota, S.K.Nemirovskii: "Energy Spectrum of Vortex Tangle"Journal of Low Temperature Physics. 126 1/2. 303-308 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kasamatsu, M.Tsubota: "Vortex Generation in Cyclically coupled superfluids and the Kibble-Zureck mechanism"Journal of Low Temperature Physics. 126 1/2. 315-320 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Tsubota, K.Kasamatsu, M.Ueda: "Vortex Nucleation and Array Formation in a Rotating Bose-Einstein Condensate"Journal of Low Temperature Physics. 126 1/2. 461-466 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kasamatsu, Y.Yasui, M.Tsubota: "Macroscopic quantum tunneling of two-component Bose-Einetein condensate"Physical Review A. 64. 053605 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Tsnbota,T.Aralci S,K.Memirovslcii: "Dynamics of vortex tangle without mutual friction in superfluid ^4He"Physical Review B. 62-17. 11751-11762 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsnbota,S,Oigawa.Y.Hattori: "Vortex Reconnection and Acoustic Emission by the Numerical Analysis of the Gross-Pitaevskii EquationMakoto Tsubota, Shin-ichiro Ogawa, Yuji Hattoripp. 435-440"Journal of Low Temperature Physics. 121. 435-440 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Aralcs and M.Tsnbotin: "Cannde. Prousi of Vortex Tangle Dynamics in Superfluid ^4He without mutal friction"Journal of Low Temperatnre Physics. 121. 405-410 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsnbota,T.Araki S.K Memirorskis: "Vortex dynamics in Superflnid ^4He at very low temperature"Journul of Low Tempeatnre Physics. 119. 337-342 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsnbota,T.Aralci S.K.Memirovslcii: "Dexan of vortex targle in superfluid ^4He of very low temperature"Physica B. 284-288. 79-80 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsnbota,K.Kasnmntsn: "Josephson Current Flowing in Cyclically Coupled Bose-Einstein Condensates Makoto Tsubota and Kenichi Kasamatsu ""J.Phys, Soc, Jpn, . 69. 1942-1945 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 藤田敏三,児玉隆夫,世良正文,坪田誠: "低温の物性物理"講談社サイエンティフィク. 204 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2001-04-01   Modified: 2020-05-15  

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