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Pattern formation its multiplicative stochastic processes

Research Project

Project/Area Number 62460037
Research Category

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

Allocation TypeSingle-year Grants
Research Field 物性一般(含極低温・固体物性に対する理論)
Research InstitutionKyushu Institute of Technology

Principal Investigator

KAI Shoichi  Faculty of Engineering, Kyushu Institute of Technology, Prof., 工学部, 教授 (20112295)

Co-Investigator(Kenkyū-buntansha) HIROSHI Furukawa  Faculty of Education, Yamaguchi Univ. Associate Prof., 教育学部, 助教授 (10108269)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥5,300,000 (Direct Cost: ¥5,300,000)
Fiscal Year 1988: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1987: ¥3,800,000 (Direct Cost: ¥3,800,000)
Keywordsconvective instability / nematic liquid crystal / electrohydrodynamics / multiplicative noise / turbulence / precipitation pattern / 対流不安定性 / 乱流 / 構造転移 / 対流パターン / オストワルド熟成 / 磁界効果 / 確率過程 / ネマチック液晶 / スケーリンク
Research Abstract

The growth process of the convective pattern in the electrohydrodynamic instability(END) of nematic liquid crystals is basically devided into three evolution regimes; 1) the early stage(amplitude dynamics), 2)the late stage(phase dynamics) and 3)the final stage (defect dynamics). The scaling properties based on the noisy Landau equation for the amplitude and for the variances are experimentally observed in the early stage but not hold in both a late and a final stages. Both the correlation time _N and the intensity Q of the noise are the crucial parameters to control the bifurcation in multiplicative stochastic processes of EHD instability. With increasing a noise intensity the threshold for the onset of the first instability changes drastically. We observe that the curvature arising for the threshold changes as one is going e.g. from the onset of the williams domains(WD) to the onset of the GP. This result reflects the transition in the flow structure from WD to GP and dynamical scatt … More ering mode (DSM:turbulence). As the intensity of noise is increased further, the onset of the first instability becomes more complex. Defect motions, pattern selections, transition to chaos and these magnetic-field effect are also studied detailedly in WD to the fluctuating WD(FWD) regimes. The defect chaos(FWD) could occur slightly above the threshold, via the state with regular rolls without any defect for finite aspect ratio. In this state, defects never disappear whose number always changes nonperiodically in time. The power spectrum of the temporal change of this number shows l/f type-spectrum. A magnetic field can suppress a defect chaos and stabilized the system. The threshold of an applied electric field for the onset of EHD shifts upward increasing in a magnetic field. The magnetic field could change the direction of a roll axis into the direction perpendicular to its field. The quantitative dynamical studies on magnetic field and multiplicative noise effects are left to be investigated in future. Less

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] S.,KAI: Physical Review A. 35. 374-379 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.,KAI: Journal of the Physical Society of Japan. 56. 3759-3762 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] H.,Yamazaki: Journal of the Physical Society of Japan. 56. 502-505 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.,Kai: Physical Review A. 35. 1438-1440 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 甲斐昌一: 電気学会論文誌 C. 107C. 1011-1018 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 甲斐昌一: 電気学会論文誌 C. 108C. 71-78 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] H.,Furukawa: Physsical Review A. 37. 653-655 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.,Kai: Ferroelectrics. 85. 521-530 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] H.,Furukawa: Journal of the physical society of Japan. 58. 216-221 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.,Kai: Journal of Statistical Physics. 54. 1133-1152 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 甲斐昌一: 岩石鉱物鉱床学会誌. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 甲斐昌一: 数理科学. 45-51 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.,KAI: "Chapter 2,vol.3"Electrohydrodynamic Instability of nematic liquid crystals;growth process and influence of noise"in"Noise in Nonlinear Dynamical Systems"" Cambridge University Press, 1500 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.Kai; H.Fukunaga; H.R.Brand: "Experimental study on threshld shifts and structure changes due to external multiplicative noise in nematic liquid crystals" Journal of the Physical Society of Japan. 56. 3759-3762 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.Kai; H.Fukunaga; T.Tamura; M.Imasaki: "Experimental evidence for scaling property of the director oscillation process in the electrohydrodynamics of nematic liquid crystals" Physical Review A. 35. 1438-1440 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.Kai; S.Higaki; H.Yamazaki; T Yamada: "Morphogenesis in precipitation processes; Importance of Ostwald ripening" Transaction of Institute of Electrical Engineering of Japan. 107-c. 1011-1018 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.KAI; T.Tamura; M.Imasaki: "Pattern formation and multiplicative stochastic processes in the electrohydrodynamic instability of nematic liquid crystals" Transaction of Institute of Electrical Engineering of Japan. 108-c. 71-78 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.Kai; Y.Kunitake; M.Imasaki: "Universal properties of domain reversal process in ferroelectric liquid crystal 8SI" Ferroelectrics. 85. 521-530 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.Kai; H.Fukunaga; H.R.Brand: "Structure changes induced by external multiplicative noise in the electrohydrodynamic instability of nematic liquid crystals" Journal of Statistical Physics. 54. 1133-1152 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] S.KAI.: Ferroelectrics. 85. 521-530 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] H.Furukawa.: Physical Review A. 37. 653-655 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] H.Furukawa.: Journal of physical Society of Japan. 58. 216-221 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] S.Kai.: Journal of Statistical Physics. 54. 1133-1152 (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] M.Tohnoe.: Liquid Crystals(in print). (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] 甲斐昌一: 岩石鉱物鉱床学会誌. 1989.

    • Related Report
      1988 Annual Research Report
  • [Publications] S.Kai.: ""Noise in Nonlinear Dynamical Systems"vol.3,Chapter 2"Electrohydrodynamic Instability of Nematic Liquid Crystals;growth process and influence of noise"" Cambridge University Press, 1500 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] S.KAI: Physical Review A. 35. 1438-1440 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] S.KAI: Journal of the physical Society of Japan. 56. 3759-3762 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 甲斐昌一: 電気学会論文誌(シナジエティクス特集). 107-c. 1011-1018 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 甲斐昌一: 電気学会論文誌(システム部門). 108-c. 71-78 (1988)

    • Related Report
      1987 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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