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Experiments of Dissipative Systems with Many Degrees of Freedom (from the view point of nonlinear dynamics and fluctuations)

Research Project

Project/Area Number 11440119
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionUniversity of Tokyo (2000)
Tohoku University (1999)

Principal Investigator

SANO Masaki  University of Tokyo, Physics Department, Prof., 大学院・理学系研究科, 教授 (40150263)

Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥15,100,000 (Direct Cost: ¥15,100,000)
Fiscal Year 2000: ¥6,900,000 (Direct Cost: ¥6,900,000)
Fiscal Year 1999: ¥8,200,000 (Direct Cost: ¥8,200,000)
KeywordsDissipative Systems / Rayleigh-Benard Convection / Developed Turbulence / Hard Turbulence / Cultured Neural Networks / Synchronous Firin / Principal Component Analysis / Glial Cell / 独立成分解析
Research Abstract

We selected two prototype experimental systems from dissipative systems with many degrees of freedom. One is the experiment of fully developed thermal turbulence. The other is an experiment on networks of cultured neural cells.
In the first study, thermal turbulence, we developed Rayleigh-Benard convection cell that enables us to explore one of the highest Reynolds numbers in turbulent free convection by using mercury, a low Prandtl number (Pr) fluid. We attained 10^<11> in Rayleigh number (Ra) and 5x10^5 in Reynolds number for the low Prandtl number fluid (Pr=0.024), and found that two boundary layers are inverted unlike with other fluids (Pr>=1). The scaling exponent of Nusselt number with Ra was 0.29+-0.01, which is close to that of hard turbulence. Two boundary layers match and shrink with the scaling exponent close to -0.29. Therefore theoretically predicted ultimate scaling, 1/2, did not observed even the two boundary layers have crossed. This leads a conjecture that the ultimate scaling regime may not exist.
In the second study, we made dissociated culture of brain cells, which are dissected from cortex of rat embryo (E17). Neuron and glia cells grow on the glass plate and develop highly connected network structures. By using Ca^<2+> sensitive fluorescent dye, Ca^<2+> activities of a few hundreds of cells were optically measured simultaneously. We found synchronous bursting Ca^<2+> oscillation in the networks, and classified collective dynamical behavior. Connectivity and structure of the network were evaluated by using monochronal antibody staining. Evolution of distribution function of correlation coefficients between neuron-neuron, neuron-glia, and glia-glia, was firstly quantified to characterize the developmental process of the networks.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Y.Murayama,M.Sano: "Force Measurement of Single DNA Molecules in the Collapsing Phase Transition"J,Phys.Soc.Jpn.. 70. 345-348 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] J.A.Glazier: "Evidence Against Ultrahard Ultra-hard Thermal Turbulence at Very High Rayleigh Number"Nature. 398. 307-310 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Sano: "Dose the Ultimate state of Thermal Turbulence Exist?"Journal of Plasma and Fusion Research Saries. 2. 28-31 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Sano: "Chaos and Periodic Dynamics in Adoptive Motion Control Systems Under Unknown Environment"Proc.IEEE International Conference on System,Man. 1. 262-265 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 菅原研: "アクティブエレメント集合による機能の創発"計測と制御. 38・10. 641-645 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 吉田篤: "神経ネットワークにおける多細胞同時記録とその解析"電子情報通信学会技術研究報告 NLP. 99-111. 1-8 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 堀口剛,佐野雅己: "数理情報物理学"講談社サイエンティフィック. 238 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Murayama and M.Sano: "Force Measurement of Single DNA Molecules in the Collapsing Phase Transition"J.Phys.Soc.Jpn.. 70. 345-348 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] J.A.Glazier, T.Segawa, A.Naert, M.Sano: "Evidence against Ultra-hard Thermal Turbulence"Nature. 398. 307-310 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Sano, T.Segawa, A.Naert, J.A.Glazier: "Does the Ultimate State of Thermal Turbulence Exist?"Plasma and Fusion Research Series. Vol.2. 28-31 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Sano and S.Ochiai: "Chaos and Periodic Dynamics in Adaptive Motion Control Systems Under Unknown Environment"Proc.IEEE International Conference on Systems, Man, and Cybernetics. 1. 262-265 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Sugawara, S.Nakamura, M.Sano: "Emergence of Functions by Collective Behavior of Active Elements (in Japanese)"Measurement and Control. 38, No.10. 641-645 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Yoshida, H.Ishida, M.Sano: "Multi-cellular Recording and Analysis of Neural Networks (in Japanese)"IEICE Technical Report. NLP99-111. 1-8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Horiguchi and M.Sano: "Statistical Mechanics and Information Physics (in Japanese)"Asakura shuppan. 1-238 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Murayama and M.Sano: "Force Measurement of Single DNA Molecules in the Collapsing Phase Transition"J.Phys.Soc.Jpn.. 70. 345-348 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 堀口剛,佐野雅己: "数理情報物理学"講談社サイエンティフィック. 238 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] J.A.Glazier: "Evidence Against Ultrahard Thermal Turbulence at Very High Rayleigh Number"Nature. 398. 307-310 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Sano: "Does the Ultimate State of Thermal Turbulence Exist?"Journal of Plasma and Fusion Research Series. 2. 28-31 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Sano: "Chaos and Periodic Dynamics in Adoptive Motion Control Systems Under Unknown Environment"Proc. IEEE International Conference on System, Man. 1. 262-265 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 菅原 研: "アクティブエレメント集合による機能の創発"計測と制御. 38・10. 641-645 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 吉田 篤: "神経ネットワークにおける多細胞同時記録とその解析"電子情報通信学会技術研究報告NLP. 99-111. 1-8 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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