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Statistical Physics of Fluctuations in Glassy

Research Project

Project/Area Number 10044064
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 InstitutionThe University of Tokyo

Principal Investigator

TAKAYAMA Hajime  Inst. For Solid State Physics, Univ. of Tokyo, Professor, 物性研究所, 教授 (40091475)

Co-Investigator(Kenkyū-buntansha) NEMOTO Koji  Graduate School of Science, Hokkaido University, Professor, 大学院・理学研究科, 助教授 (60202248)
NISHIMORI Hidetoshi  Faculty of Science, Tokyo Institute of Technology, Professor, 理学部, 教授 (70172715)
BOUCHAUD J.P  サークレー原子核研究所, 主任研究官
CAMPBELL I.A  パリ南大学, 教授
ORBACN R  カリフォルニア大学, リバーサイド校, 教授
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥5,600,000 (Direct Cost: ¥5,600,000)
Fiscal Year 1999: ¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 1998: ¥2,900,000 (Direct Cost: ¥2,900,000)
Keywordsglassy system / spin glass / aging phenomena / EA model / droplet picture / mean-field theory / chiral glass / critical fluctuation / 巨大磁気抵抗系 / ドメイン成長 / ガラス転移 / 階層的自由エネルギー構造 / 動的平均場理論 / スピングラス相転移
Research Abstract

In this program, by the close collaboration of the researchers in France, US and Japan, as well as of the experimentalists and theorists, the fundamental nature of fluctuation which govern the equilibrium and non-equilibrium dynamics in glassy systems such as spin glasses has been studied. The various subjects in the systems have been individually investigated by the sub-groups (or individual members), and their results have been discussed in the workshops-at Royaumont, France, October 1998, and at Kyoto, October 1999-which all the members participated to look for a common concept(s) on fluctuations in the glassy systems. The main results obtained are as follows.
1) Concerned with the aging phenomena in spin glasses : a) Through the detailed measurement of the thermoremanent magnetization, the spin-glass (SG) correlation length has been extracted and its growth law in aging has been experimentally established (Orbach). b.) In temperature-shift and cycling protocols spin glasses exhibit … More apparently paradoxical phenomena, the 'rejuvenation' and 'memory effect'. A theoretical framework, which is constructed in a viewpoint from the phase space and can explain the phenomena consistently, has been proposed (Bouchaud), and the phenomena are numerically analyzed based on the 'hierarchical random energy model' which is within this framework (Nemoto). c) On the other hand, it has been found that the simulational results on the aging phenomena in the EA model agree well with the predictions from the droplet picture which describes the phenomena in the real spin space.
2) From, comparison of the aging phenomena in disordered ferromagnets or ferroelectrics with those in spin glasses, it has been proposed that the aging dynamics in the former materials is well interpreted as the diffusive motion of domain walls in a medium with random potentials (Bouchaud, Cugliandolo).
3). The following new results have been obtained on phase transitions and nature of fluctuations in glassy systems : an extension of the SG mean-field theory to the statistical computations of information (Nishimori), theories on the chiral-glass transition in vector spin glasses and in high-Tc ceramic superconductors (Kawamura), a new type of phase transition in magnetic and superconductive ceramics (Matsuura), the stretched exponential law in the critical fluctuation common to spin glasses and polymer glasses (Campbell), and the fluctuation measurement which clearly reveals a role of the inhomogeneity on various phase transition in glassy systems (Weissman). Less

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (72 results)

All Other

All Publications (72 results)

  • [Publications] T. Komori: "Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. 1. Energy Relaxation and Domain Coarsening"J. Phys. Soc. Jpn.. 68. 3387-3393 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Komori: "Numerical Study on Aging Dynamics in Ising Spin-Glass Models: Temperature-Change Protocols"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nishimori: "Convergence of simulated annealing using the generalized transition probability"J. Phys. A. 31. 5661-5672 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nishimori: "Spin States and Entropy of Ising Spin Glasses"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Sasaki: "Aging Phenomena of Magnetization in a Hierarchical Difusion Model"J. Phys. Soc. Jpn.. 68. 1148-1161 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Sasaki: "Aging Phenomena in the Multi-layer Random Energy Model"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Yamao: "Intergrain Ordering of a Superconductive Ceramic of Yba2Cu4O8 at Zero External Magnetic Field Studied by Linear and Nonlinear Transport Coefficients"J. Phys. Soc. Jpn.. 68. 871-875 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Matsuura: "Cooperative Dynamics in Magnetic and Superconductive Ceramics"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kawamura: "Kynamical Simulation of Spin-Glass and Chiral-Glass Orderings in Three-Dimensional Heisenberg Spin Glasses"Phys. Rev. Lett. 80. 5421-5424 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kawamura: "Dynamical Properties of Chiral-Glass Order in Ceramic High-Tc Superconductors"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D. Petit: "Ordering in a Spin Glass under Applied Magnetic Field"Phys. Rev. Lett. 83. 5130-5133 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] I. A. Campbell: "Critical Exponents in Spin Glasses: Numerics and Experiments"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Alberici: "Aging in K1-xLixTaO3: a Domain Growth Interpretation"Phys. Rev. Lett. 81. 4987-4990 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] J. Hammann: "Comparative Review of Aging Properties in Spin Glasses and Other Disordered Materials"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. F. Cugliandolo: "Quantum Aging in Mean-Field Models"Phys. Rev. Lett. 80. 4979-4982 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. F. Cugliandolo: "A Scenario for the Dynamics in the Small Entropy Production Limit"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. G. Joh: "Extraction of the Correlation Length for Spin Glasses"Phys. Rev. Lett. 82. 438-441 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. G. Joh: "Finite Size Effects on Spin Glass Dynamics"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] J. R. Petta: "Barkhausen Pulse Structure in an Amorphous Ferromagnet: Characterization by High-Order Spectra"Phys. Rev. E. 57. 6363-6369 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] R. D . Merithew: "Mesoscopic Fluctuations in Colossal Magnetoresistance"to appear in J. Phys. Soc. Jpn. Suppl. (2000). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Komori, H. Yoshino and H. Takayama: "Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. I. Energy Relaxation and Domain Coarsening"J. Phys. Soc. Jpn.. 68. 3387-3393 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Komori, H. Yoshino and H. Takayama: "Numerical Study on Aging Dynamics in Ising Spin-Glass Models: Temperature-Change Protocols"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nishimori and J. Inoue: "Convergence of simulated annealing using the generalized transition probability"J. Phys. A. 31. 5661-5672 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nishimori and P. Sollich: "Spin States and Entropy of Ising Spin Glasses"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Sasaki and K. Nemoto: "Aging Phenomena of Magnetization in a Hierarchical Diffusion Model"J. Phys. Soc. Jpn. 68. 1148-1161 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Sasaki and K. Nemoto: "Aging Phenomena in the Multi-layer Random Energy Model"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Yamao, M. Hagiwara. K. Koyama and M. Matsuura: "Inter-grain Ordering of a Superconductive Ceramic of YBaィイD22ィエD2CuィイD24ィエD2OィイD28ィエD2 at Zero External Magnetic Field Studied by Linear and Nonlinear Transport Coefficients"J. Phys. Soc. Jpn. 68. 871-875 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Matsuura: "Cooperative Dynamics in Magnetic and Superconductive Ceramics"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kawamura: "Dynamical Simulation of Spin-Glass and Chiral-Glass Orderings in Three-Dimensional Heisenberg Spin Glasses"Phys. Rev. Lett.. 80. 5421-5424 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Kawamura: "Dynamical Properties of Chiral-Glass Order in Ceramic High-TィイD2cィエD2 Superconductors"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D. Petit, L. Fruchter and I.A. Campbell: "Ordering in a Spin Glass under Applied Magnetic Field"Phys. Rev. Lett.. 83. 5130-5133 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] I. A. Campbell, D. Petit, P. O. Mari and L. W. Bernardi: "Critical Exponents in Spin Glass : Numerics and Experiments"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] F. Alberici, J. P. Bouchaud, L. Cugliandolo, P. Doussineau, and A. Levelut: "Aging in KィイD21-xィエD2LiィイD2xィエD2TaOィイD23ィエD2 : a Domain Growth Interpretation"Phys. Rev. Lett.. 81. 4987-4990 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] J. Hammann, E. Vincent, V. Dupuis, M. Alba, M. Ocio, and J. P. Bouchaud: "Comparative Review of Aging Properties in Spjn Glasses and Other Disordered Materials"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. F. Cugliandolo and G. Lozano: "Quantum, Aging in Mean-Field Models"Phys. Rev. Lett.. 80. 4979-4982 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. F. Cugliandolo and J. Kurchan: "A Scenario for the Dynamics in the Small Entropy Production Limit"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, and E. Vincent: "Extraction of the Correlation Length for Spin Glasses"Phys. Rev. Lett.. 82. 438-441 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, and E. Vincent: "Finite Size Effects on Spin Glass Dynamics"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] J. R. Petta, M. B. Weissman and G. Durin: "Barkhausen Pulse Structure in an Amorphous Ferromagnet : Characterization by High-Order Spectra"Phys. Rev. E. 57. 6363-6369 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] R. D. Merithew, M. B. Weissman, J. O'Donnell, and J. Eckstein: "Mesoscopic Fluctuations in Colossal Magnetoresistance"J. Phys. Soc. Jpn. Suppl.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Komori: "Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model.I. Energy Relaxation and Domain Coarsening"J.Phys.Soc.Jpn.. 68. 3387-3393 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Komori: "Numerical Study on Aging Dynamics in Ising Spin-Glass Models : Temperature-Change Protocols"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nishimori: "Statistical Mechanics of Image Restoration and Error-Correcting Codes"Phys.Rev.E. 60. 132-144 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nishimori: "Spin States and Entropy of Ising Spin Glasses"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Sasaki: "Aging Phenomena of Magnetization in a Hierarchical Diffusion Model"J.Phys.Soc.Jpn.. 68・4. 1148-1161 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Sasaki: "Aging Phenomena in the Multi-layer Random Energy Model"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Yamao: "Intergrain Ordering of a Superconductive Ceramic of YBa_<2 >Cu_<4 >O_<8 > at Zero External Magnetic Field Studied by Linear and Nonlinear Transport Coefficients"J.Phys.Soc.Jpn. 68. 871-875 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Matsuura: "Cooperative Dynamics in Magnetic and Superconductive Ceramics"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Hukushima: "Chiral-Glass Transition and Replica Symmetry Breaking of a Three-Dimensional Heisenberg Spin Glass"Phys.Rev.E. 61. R1008-1011 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Kawamura: "Dynamical Properties of Chiral-Glass Order in Ceramic High-T_<c > Superconductors"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] D.Petit: "Ordering in a Spin Glass under Applied Magnetic Field"Phys.Rev.Lett.. 83. 5130-5133 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] I.A.Campbell: "Critical Exponents in Spin Glasses : Numerics and Experiments"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] J.Hammann: "Comparative Review of Aging Properties in Spin Glasses and Other Disordered Materials"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] L.F.Cugliandolo: "A Scenario for the Dynamics in the Small Entropy Production Limit"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.G.Joh: "Extraction of the Correlation Lengh for Spin Glasses"Phys.Rev.Lett.. 82. 438-441 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.G.Joh: "Finite Size Effects on Spin Glass Dynamics"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] R.D.Merithew: "Mesoscopic Fluctuations in Colossal Magnetoresistance"to appear in J.Phys.Soc.Jpn.Suppl.(2000). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] L.W.Bemardi: "Fully Frustrated Ising System on a 3D Simple Cubic Lattice: Revisited" J.Phys.:Math.Gen.to appear. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] R.Azuma: "Bond fluctuation method for a polymer undergoing gel electrophoresis" Phys.Rev.E. 59. 650-655 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] J.Inoue: "Generalization ability of a perceptron with nonmonotonic transfer function" Phys.Rev.E. 58. 849 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Nishimori: "Convergence of simulated annealing using the generalized transition probability" J.Phys.A:Math.Gen.31. 5661 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Kadowaki: "Quantum annealing in the transverse Ising model" Phys.Rev.E. 58. 5355 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Sasaki: "Aging Phenomena of Magnetization in a Hierarchical Diffusion Model" J.Phys.Soc.Jpn.to appear. 68・4. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.W.Bemardi: "The Spin Glass Transition :Exponents and Dynamics" Physica A. 257. 21 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] P.O.Mari: "Ising spin glasses:Corrections to finite size scaling,freezing temperatures and critical exponents" Phys.Rev.E to appear. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Alergia: "Dynamics above the freezing temperature in Ising spin glasses and polymer melts" Phys.Rev.E to appear. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] F.Alberici: "Aging in K_<1-x>Li_xTaO_3:a domain growth interpretation" Phys.Rev.Lett.81. 4987-4990 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Jonasson: "Memory and Chaos in spin glasses" Phys.Rev.Lett.81. 3243-3246 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.F.Cugliandolo: "Quantum Aging in Mean-Field Models" Phys.Rev.Lett.80. 4979-4982 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.F.Cugliandolo: "Real-time non-equilibrium dynamics of qunatum glassy systems" Phys.Rev.B. 59. 915-942 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.G.Joh: "Extraction of the Spin Glass Correlation Lengths" Phys.Rev.Lett.82. 438-441 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.W.Rabin: "Noise probes of underlying static correlation lengths in the superconducting peak effect" Phys.Rev.B. 57. R720-R723 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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