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1997 Fiscal Year Final Research Report Summary

Aging Phenomena in Complex Systems

Research Project

Project/Area Number 08044060
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionUniversity of Tokyo

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) ORBACH R  Univ.California Riverside, Dept.of Physics, Professor, リバーサイド校, 教授
OCIO M  CEA Saclay, Service de Physique de l'Etat Condense, Chief Researcher, 凝縮系物理, 研究室長
CAMPBELL I  Univ.Paris Sud, Physique des Solides, Professor, 固体物理研究所, 教授
ITO Atsuko  Ochanomizu Univ., Dept.of Physics, Professor, 理学部, 教授 (20017180)
MIYAKO Yoshihiko  Osaka Univ., Dept.of Earth and Space Science, Professor, 理学研究科, 教授 (10000837)
Project Period (FY) 1996 – 1997
KeywordsComplex systems / Aging phenomena / Spin-glass / Free-energy landscape / Chiral-glass transition / Heavy electron system / Quantum phase transition / 量子相転移
Research Abstract

Aging phenomena in random systems with frustration, or complex systems, have been extensively investigated more than a decade. They are infinitely long-time relaxation processes to equilibrium (but in some systems to a state different from equilibrium). Researches on the phenomena are expected to open a new field in statistical physics and condensed matter physics, namely, the out-of -equilibrium dynamics in such complex systems. In the course of this program aging phenomena and their related slow dynamics in spin-glasses were mainly studied. We obtained various interesting findings which provide us deeper insights into one of the most fundamental ingredients of the complex system, i.e., its rugged free-energy landscape in phase space.
The main results obtained in this program are as follows.
1) Parisi's overlap distribution function, which describes theoretically the hierarchical structure in the rugged free-energy landscape of spin-glasses, was extracted experimentally for the first ti … More me by measuring aging phenomena followed after change of magnetic field (Orbach). 2) The characteristic differences between aging phenomena in cluster spin-glasses and those in ordinary spin-glasses were found experimentally (Ito). 3) Based on the results by large-scale simulations a unified scenario (named Growth of Quasi-Equilibrium Domain one), for aging phenomena in the SK model of finite sizes was proposed (Takayama). 4) By the simulations on aging phenomena in the 3D Heisenberg spin-glass model the results, which imply the existence of the chiral-glass transition, were obtained for the first time (Kawamura). 5) The non-universal feature of the spin-glass transition that critical nature depends on the type of distribution of random interactions was found by numerical simulations (Campbell). 6) Various interesting perceptron models for on-line learning were proposed and investigated (Nishimori). 7) In heavy electron system Ce(Ru_<1-x>Rh_x)_2Si_2 three ground states, Fermi liquid, non-Fermi liquid, and antiferromagnetic ones, were specified and the quantum phase transitions between them were analyzed experimentally (Miyako, Ocio). Less

  • Research Products

    (66 results)

All Other

All Publications (66 results)

  • [Publications] H.Yoshino: "Relaxational Modes and Aging in the Glauber Dynamics of the Sherrington-Kirpatrick Model" Prog.Theor.Phys.Suppl.126. 107-110 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Takayama: "Monte Carlo Simulation on Aging Processes within One ‘Pure Sate'of the SK Spin-Glass Model" J.Phys.A: Math.Gen.30. 3891-3906 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.A.Campbell: ""Forum on Spin Glass Dynamics"" to appear in J.Mag.Mag.Mater.(1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Suzuki: "Quantum Analysis-Non-Commutative Differential and Integral Calculi" Commun.Math.Phys.183. 339-363 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Asakawa: "Boundary Magnetization of Isotropic Magnets in Open Chains" Physica A. 235. 486-506 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Asakawa: "On the Hubbard Model with Boundaries" Physica A. 236. 376-394 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Ito: "Mossbauer Studies of the Ising Spin-Glass System Fe_<0.5>Mn_<0.5>TiO_3 in Connection with the de Almeida-Thouless Line" J.Phys.Soc.Jpn.65. 3331-3335 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Q.J.Harris: "Random Fields and Random Anisotropies in the Mixed Ising-XY Magnet Fe_xCo_<1-x>TiO_3" Phys.Rev.Lett.78. 346-349 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Satooka: "Cluster-Glass Behavior of the Diluted Antiferromagnet Fe_<0.26>Zn_<0.74>F_2" J.Phys.Soc.Jpn.66. 784- (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Miyako: "Spin Density Wave Accompained by Anisotropic Energy Gap Opening" J.Phys.Soc.Jpn.Suppliment B. 65. 12-15 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Takeuchi: "Thermal Expansion and Magnetostriction of the Antiferromagnetic Compound Ce(Ru_<0.85>Rh_<0.15>)_2Si_2" J.Phys.Soc.Jpn.65. 3241-3246 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kawamura: "Monte Carlo Study of the Ordering of Ceramic Superconductors-Chiralglass, Orbital-glass and Nonlinear Susceptibilities" Phys.Rev.B. 54. 619-636 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Takeuchi: "Electrical Resistivities in(Ce, La)Ru_2Si_2 and Ce(Ru, Rh)_2Si_2" Czechoslovak Journal of Physics. 46. 2085-2086 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Taniguchi: "Low Temperature Specific Heat of Ce(Ru_<1-x>Rh_x)_2Si_2 and(Ce_<1-x>La_x)Ru_2Si_2" Physica B. 230-232. 123-125 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Miyako: "Spin Density Wave and Heavy Electrons in Ce(Ru_<1-x>Rh_x)_2Si_2 and Ce_<1-x>La_xRu_2Si_2" Physica B. 230-232. 1011-1013 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Nishimori: "Quantum Effects in Neural Networks" J.Phys.Soc.Jpn.65. 4001 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Inoue: "On-Line Learning of Non-Monotonic Rules by Simple Perceptron" J.Phys.A. 30. 3795 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Yamana: "High-Temperature Dynamics of Spin Glasses" J.Phys.Soc.Jpn.66. 1962-1975 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kawamura: "Equilibrium Phase with Broken Time-Reversal Symmetry in Ceramic High-T_c Superconductors" Phys.Rev.Lett.78. 1556-1559 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kawamura: "Chiral Glass : Equilibrium Phase in Ceramic High-T_c Superconductors" J.Phys.Soc.Jpn.66. 2110-2122 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Hukushima: "Exchange Monte Carlo Method and Application to Spin Glass Simulations" J.Phys.Soc.Jpn.65・6. 1604-1608 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Hukushima: "Application of an Extended Ensemble Method to Spin Glasses" Intern.J.Mod.Phys.C7・3. 337-344 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Vincent: "Glassy Dynamics of Nanometric Magnetic Particles" J.M.M.M.161. 209- (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.Sappey: "A New Experimental Procedure for Characterizing Quantum Effects in Small Magnetic Partile Systems" Europhysics Lett.37. 639 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.Sappey: "Nonmonotonic Field Dependence of the Zero-Field Cooled Magnetization Peak in Some Systems of Magnetic Nanoparticles" Phys.Rev.B. 56. 14551 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Keren: "Probing the Spin-Spin Dynamical Autocorrelation Function in a Spin Glass Above Tg via Muon Spin Relaxation" Phys.Rev.Lett.77. 1386 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] L.W.Bernardi: "Ordering Temperatures and Critical Exponents in Ising Spin Glasses" Phys.Rev.Lett.77. 2789 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] L.W.Bernardi: "Critical Exponents in Ising Spin Glasses" Phys.Rev.B. 56. 5271 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] W.G.Clark: "NMR as a Probe of Incommensurate Spin Density Waves in Organic Metals" Synth.Met.86. 1941 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.E.Brown: "Relation between the Dielectric Constant and Nuclear Spin-Lattice Relax-ation by Phase Fluctuations of a Pinned Spin Density Wave" Phys.Rev.B. 56. 5080 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.G.Joh: "Spin-Glass Dynamics Under a Change in Megnetic Field" Phys.Rev.Lett.77. 4648-4651 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.G.Joh: "Spin Glass Dynamics and the Barrier Model : Extraction of the Parisi Physical Order Parameter" Phil.Mag.B. 77. 231-238 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.G.Joh: "Relations between Parisi Physical Order Parameter and AC Magnetic Susceptibility in Spin Glasses" Phil.Mag.B. 77. 221-229 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Yoshino, K.Hukushima and H.Takayama: "Relaxational Modes and Aging in the Glauber Dynamics of the Sherrington-Kirpatrick Model" Prog.Theor.Phys.Suppl.126. 107-110 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Takayama, H.Yoshino and K.Hukushima: "Monte Carlo Simulation on Aging Processes within One 'Pure Sate' of the SK Spin-Glass Model" J.Phys.A : Math.Gen.30. 3891-3906 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.A.Campbell, J.Hammann, H.Kawamura, R.H.McKenzie, P.Nordblad, R.Orbach and H.Takayama: ""Forum on Spin Glass Dynamics"" to appear in J.Mag.Mag.Mater.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Suzuki: "Quantum Analysis-Non-Commutative Differential and Integral Calculi" Commun.Math.Phys.183. 339-363 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Asakawa and M.Suzuki: "Boundary Magnetizations of Isotropic Magnets in Open Chains" Physica A. 235. 486-506 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Asakawa and M.Suzuki: "On the Hubbard Model with Boundaries" Physica A. 236. 376-394 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Ito, S.Morimoto and H.Aruga Katori: "Mossbauer Studies of the Ising Spin-Glass System Fe_<0.5>Mn_<0.5>TiO_3 in Connection with the de Almeida-Thouless Line" J.Phys.Soc.Jpn.65. 3331-3335 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Q.J.Harris, Q.Feng, Y.S.Lee, R.J.Birgeneau and A.Ito: "Random Fields and Random Anisotropies in the Mixed Ising-XY Magnet Fe_xCo_<1-x>TiO_3" Phys.Rev.Lett.78. 346-349 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Satooka and A.Ito: "Cluster-Glass Behavior of the Diluted Antiferromagnet Fe_<0.26>Zn_<0.74>F_2" J.Phys.Soc.Jpn.66. 784-792 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Miyako, T.Takeuchi, T.Taniguchi, S.Kawarazaki, K.Murumoto, R.Hamada, Y.Yamamoto, M.Ocio, P.Pari and J.Hammann: "Spin Density Wave Accompanied by Anisotropic Energy Gap Opening" J.Phys.Soc.Jpn.Suppliment. 65 Suppl.B. 12-15 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Takeuchi and Y.Miyako: "Thermal Expansion and Magnetostriction of the Antiferromagnetic Compound Ce(Ru_<0.85>Rh_<0.15>)_2Si_2" J.Phys.Soc.Jpn.65. 3241-3246 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Takeuchi, Y.Miyako, M.Ocio, P.Pari and J.Hammann: "Electrical Resistivities in (Ce, La)Ru_2Si_2 and Ce(Ru, Rh)_2Si_2" Czechoslovak Journal of Physics. 46 (Suppl.S4). 2085-2086 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Taniguchi, Y.Yabata, H.Tanabe and Y.Miyako: "Low Temperature Specific Heat of Ce(Ru_<1-x>Rh_x)_2Si_2 and (Ce_<1-x>La_x)Ru_2Si_2" Physica B. 230-232. 123-125 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Miyako, S.Kawarazaki, T.Taniguchi, T.Takeuchi, K.Marumoto, R.Hamada, Y.Yamamoto, M.Sato, Y.Tabata, M.Ocio, P.Pari and J.Hammann: "Spin Density Wave and Heavy Electrons in Ce(Ru_<1-x>Rh_x)_2Si_2 and Ce_<1-x>La_xRu_2Si_2" Physica B. 230-232. 1011-1013 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Nishimori and Y.Nonomura: "Quantum Effects in Neural Networks" J.Phys.Soc.Jpn.65. 4001 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Inoue, H.Nishimori and Y.Kabashima: "On-Line Learning of Non-Monotonic Rules by Simple Perceptron" J.Phys.A30. 3795 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Yamana, H.Nishimori, T.Kadowaki and D.Sherrington: "High-Temperature Dynamics of Spin Glasses" J.Phys.Soc.Jpn.66. 1962-1975 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kawamura and M.S.Li: "Monte Carlo Study of the Ordering of Ceramic Superconductors-Chiral-glass, Orbital-glass and Non-linear Susceptibilities" Phys.Rev.B. 54. 619-636 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kawamura and M.S.Li: "Equilibrium Phase with Broken Time-Reversal Symmetry in Ceramic High-T_c Superconductors" Phys.Rev.Lett.78. 1556-1559 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kawamura and M.S.Li: "Chiral Glass : Equilibrium Phase in Ceramic High-T_c Superconductors" J.Phys.Soc.Jpn.66. 2110-2122 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Hukushima and K.Nemoto: "Exchange Monte Carlo Method and Application to Spin Glass Simulations" J.Phys.Soc.Jpn.65・6. 1604-1608 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Hukushima, H.Takayama and K.Nemoto: "Application of an Extended Ensemble Method to Spin Glasses" Intern.J.Mod.Phys.C7・3. 337-344 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E.Vincent, Y.Yuan, J.Hammann, H.Hurdequint and F.Guevara: "Glassy Dynamics of Nanometric Magnetic Particles" J.M.M.M.161. 209 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.Sappey E.Vincent, M.Ocio, J.Hammann, F.Chaput, J.P.Boilot and D.Zins: "A New Experimental Procedure for Characterizing Quantum Effects in Small Magnetic Partile Systems" Europhysics Lett.37. 639 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.Sappey, E.Vincent, N.Hadacek, F.Chaput, J.P.Boilot and D.Zins: "Nonmonotonic Field Dependence of the Zero-Field Cooled Magnetization Peak in Some Systems of Magnetic Nanoparticles" Phys.Rev.B56. 14551 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Keren, P.Mendels, I.A.Campbell and J.Lord: "Probing the Spin-Spin Dynamical Autocorrelation Function in a Spin Glass Above Tg via Muon Spin Relaxation" Phys.Rev.Lett.77. 1386 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] L.W.Bernardi, S.Prakash and I.A.Campbell: "Ordering Temperatures and Critical Exponents in Ising Spin Glasses" Phys.Rev.Lett.77. 2789 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] L.W.Bernardi and I.A.Campbell: "Critical Exponents in Ising Spin Glasses" Phys.Rev.B56. 5271 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] W.G.Clark, M.E.Hanson, S.E.Brown, B.Alavi, G.Kriza, P.Segransan and C.Beethier: "NMR as a Probe of Incommensurate Spin Density Waves in Organic Metals" Synth.Met.86. 1941 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.W.Brown, W.G.Clark and G.Kriza: "Relation between the Dilectric Constant and Nuclear Spin-Lattice Relaxation by Phase Fluctuations of a Pinned Spin Density Wave" Phys.Rev.B. 56. 5080 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.G.Joh, R.Orbach, and J.Hammann: "Spin-Glass Dynamics Under a Change in Magnetic Field" Phys.Rev.Lett.77. 4648-4651 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.G.Joh, R.Orbach, and J.Hammann: "Spin Glass Dynamics and the Barrier Model : Extraction of the Parisi Physical Order Parameter" Phil.Mag.B. 77. 231-238 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.G.Joh and R.Orbach: "Relations between Parisi Physical Order Parameter and AC Magnetic Susceptibility in Spin Glasses" Phil.Mag.B. 77. 221-229 (1998)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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