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Studies on Time-Space Structure of Metastable States in Many-Body Systems

Research Project

Project/Area Number 01540297
Research Category

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

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 InstitutionKyoto University

Principal Investigator

KAWASAKI T  Kyoto Univ., Physics Prof., 教養部, 教授 (40025367)

Co-Investigator(Kenkyū-buntansha) MIYASHITA S  Kyoto Univ., Physics Asst. Prof., 教養部, 助教授 (10143372)
TOMITA H  Kyoto Univ., Physics Asst. Prof., 教養部, 助教授 (70025477)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1990: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1989: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsMetastable state / Fuzzy spin / Randomness / TDGL / Pattern / Simulation / Triangular-AF / LRO / 双極能率 / 三角格子 / 1次相転移 / ファジ-スピンモデル / 空間パタ-ン / 保存的TDGL / セルダイナミックス / 双極子能率
Research Abstract

Existence of metastable energy states in a system has an essential effect on its dynamical behavior. Here we studied nature of the metastable states from the point of space and time structure.
T. Kawasaki studied the Fuzzy Spin Model, which shows a similar nature of spin glasses in that it has many metastable states. It is found that one of the important factor for richness of the states is randomness in the system, which make significant energy barriers to relaxation of the system.
H. Tomita studied geometry of the patterns generated in unstable states of quenched binary systems. He insisted that the isotropic nature of such systems described by the order-parameter conserving TDGL equation should be preserved if the thermal noise is neglected. This fact was confirmed by the computer simulation using the cell-dynamics model, and was related to the q^4-law of the structure function.
S. Miyashita studied, using Monte Carlo Simulation, characteristic properties of the ordered states in the complex systems. In the system with competing interactions effects of multi-degenerated modes were investigated in static and dynamic behavior of the system. In the diluted system long-time relaxation was analyzed taking into account of existence of multi-relaxation processes

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (38 results)

All Other

All Publications (38 results)

  • [Publications] T.Kawasaki: "Critical Properties of the Fazzy Model" Cooperstive Dynamics in Complex Physical Suptews,id H.Takayama. 223-224 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Tatuo Kawasaki: "Metastabls States of the Fuzzy Spin Model I ーStatic Structure" Rrog,Theor.Phys.84. 213-227 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Kawasaki and S.Miyashita: "Metastabl States of the Fuzzy Spin Model II ーLong Time Behaivorー" Prog.Theor.Phys.(1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Hiroyuki Tomita: "Statistics and Geometry of Random Interface System" Formation,Dynamics and Statistics of Patterns. 113-157 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Hiroyuki Tomita: "Preservation of Isotropy at the Mesoscopic Stage of Phase Separation Processes" Prog.Theor.Phys.85. 47-56 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Tomita and Chikara Murakami: "Percolation Pattern in Continuous Media and its Topology" Research of Pattern Formation. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Takano and S.Miyashita: "Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution" J.Phys.Soc.Jpn.58. 3871-3874 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Kikuchi,Y.Okabe&S.Miyashita: "On the GroundーState Phase Transition of the Spin 1/2 XXZ Model on the Square Lattie" J.Phys.Soc.Jpn.59. 492-496 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Miyashita: "Symmetry Breaking in Quantum Spin Systems,&Ergodicity of Quantum Monte Carlo Simulation and Global Flip" Proceedings of(World Scientific,ed.by J.D.Doll and J.E.Gubemrtis)Quantum Simulations of Codensed Matter Phenomena. 228-242 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] R.Deutscher,H.U.Everts S.Miyashita&M.Wintel: "Groundーstate proportics of the S=1/2 Heisonberg antiferroーmagnet on a triangulor lattice:a numerical study of a finite cell" J.Phys.A:Math.Gen. 23. L1043-L1051 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J.Behre,S.Miyashita and H.ーJ.Mikeska: "Quantum Monte Carlo study of a twoーdimensional Heisenberg anti ferronagnt with nonーMagnetic impurities" J.Phys.A:Math.Gen.23. L1175-L1180 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Miyashita: "Ontical Phenomena of Isingーlike Heisenberg Antiferromagnets on the Hexagonal Latties" Proceedings of(SpringerーVerlag ed.by.D.P.Landru et al)The 3rd workshop of Simulational Physics. (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S.Miyashita,H.Kitatani and Y.Kanada: "Determination of the Critical points of Antiferromagnatic Ising Model with Next Nearest Neighbor Interactos on the Triongdor Latties" J.phys.Soc.Jpn. 60. VOL.5 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] O.Nagai,S.Miyashita and T.Horiguchi: "Nature of the Ground State of Antiferronegmetic Tsing Model of General Spin,S.on the Treaugular Lattice"

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Kawasaki: "Metastable States of the Fuzzy Spin Model I ------ Static Structure ------" Prog. Thor. Phys.84. 213--227 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Kawasaki and S. Miyashita: "Metastable States of the Fuzzy Spin Model II ------ Long Time Behavior ------" Prog. Theor. Phys.(1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Tomita: "Preservation of Isotropy at the Mesoscopic Stage of Phase Separation Processes" Prog. Theor. Phys. 85. 47--56 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Tomita and C. Murakami: "Percolation Pattern in Continuous Media and its Topology" Research of Pattern Formation.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Takano and S. Miyashita: "Relaxation of the Spin Autocorrelation Function in the Kinetic Ising Model with Bond Dilution" J. Phys. Soc. Jpn. 58. 3871-3874 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Kikuchi, Y. Okabe and S. Miyashita: "On the Ground-State Phase Transion of the Spin 1/2 XXZ Model on the Square Lattice" J. Phys. Soc. Jpn. 59. 492--496 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Miyashita: "Symmetry Breaking in Quantum Spin Systems and Ergodicity of Quantum Monte Carlo Simulation and Global Flips" Proc. QS. 1990. 228--242 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] R. Deutscher, H. V, Everts, S. Miyashita and M. Wintel: "Ground-State Properties of the S=1/2 Heisenberg Antiferromagnet on a Triangular Lattice : A Numerical Study of a Finite Cell" J. Phys.A23. L1043--L1051 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J. Behre, S. Miyashita & H. J. Mikeska: "Quantum Monte Carlo Study of a Two-Dimensional Heisenberg Antiferromagnet with Non-Magnetic Impurities" J. Phys.A23. L1175--L1180 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Miyashita: "Critical Phenomena of Ising-like Heisenberg Antiferromagnets on the Hexagonal Lattices" Proc. Workshop of Simu. Phys. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] S. Miyashita, H. Kitatani & Y. Kanada: "Determination of the Critical Points of Antiferromagnetic Using Model with Next Nearest Neighbor Interactions on the Triangular Lattice" J. Phys. Soc. Jpa. 60. vol. 5. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] O. Nagai, S. Miyashita & T. Horiguchi: "Nature of the Ground State of antiferromagnetic Ising Model of General Spin S on the Triangular Lattice"

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Tatuo Kawasaki: "Metastable States of the Fuzzy Spin Model Iーstatic Steuctureー" Prog.Theor.Phys.84. 213-227 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Kawasaki and S.Miyashita: "Metastable States of the Fuzy Spin Model IIーLong Time Behaviorー" Prog.Theor.Phys.(1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Hiroyuki Tomita: "Preservation of Isotropy at the Mesoscopic Stage of Phase Separation Processes" Prog.Theor.Phys.85. 47-56 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Tomita and C.Murakami: "Percolation Pattern in Continuous Media and its Topology" Research of Pattern Formation. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Kikuchi,Y.Okabe & S.Miyashita: "On the GroundーState Phase Transition of the Spin 1/2 XXZ Model on the Square Lattice" J.Phys.Soc.Jpn.59. 492-496 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Miyashita: "Symmetry Breaking in Quantum Spin Systems,& Ergodicity of Quantum Monte Carlo Simulation and Global Flip" Proceedings of Quantum Simulations of Condensed Matter Pheromena(World Scientific ed.by J.D.Doll and J.E.Gubernat). 228-242 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] R.Deutscher,H.V.Everts,S.Miyashita & M.Wintel: "Groundーstate proporties of the S=1/2 Heisenberg antiferromagnet on a triangular lattice:a numerical study of a finite cell" J.Phys.A:Math.Gen. 23. L1043-L1051 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] J.Behre,S.Miyashita and H.J.Mikeska: "Quantum Monte Carlo study of a twoーdimensional Heisenberg antiferronagnt with nonーmagnetic impurities" J.Phys.A:Math.Gen.23. L1175-L1180 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Miyashita: "Critical Phenomena of Isingーlike Heisenberg Antiferromagnets on the Hexagonal Latties." Proceedings of The 3rd workshop of Simulational Physics(SpringerーVerlag ed.by D.P.Landan et al). (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Miyashita,H.Kitatasi and Y.Kanada: "Determunation of the Critical Pirnts of Antiferromagnetic Ising Model with Next Nearest Neghbor Interaction on the Triangular Lattice" J.Phys.Soc.Japan. 60. 5 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 川崎辰夫: "Critical Properties of Fuzzy Spin Model" Cooperative Dynamics in Complex Physical Systems edited by H.Takayama,Springer-Verlag,1989. 223-224 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 富田博之: "Statistics and Geometry of Random Interface System" Formation,Dynamics and Statistics of Patterns edited by K.Kawasaki et al,World Scientific,. 113-157 (1990)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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