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Simulated Annealing Model and Martensitic Transformation

Research Project

Project/Area Number 63540261
Research Category

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

Allocation TypeSingle-year Grants
Research Field 固体物性
Research InstitutionNara Medical University

Principal Investigator

AKAI Hisazumi  Nara Medical University, Department of Physics, Associate Professor, 医学部, 助教授 (70124873)

Co-Investigator(Kenkyū-buntansha) JO Takeo  Osaka University, Department of physics, associate professor, 理学部, 助教授 (20093487)
HIRAI Kunitomo  Nara Medical University, Department of Physics, assistant professor, 医学部, 講師 (60156627)
Project Period (FY) 1988 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1990: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1989: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1988: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsFull-potential KKR / Martensitic transformation / Transition-metal alloys / Electronic structure / Ab-initio molecular dynamics / フルポテンシャル KKR / シミュレ-テッド・アニ-リング模型 / 遷移金属・合金 / 分子動力学 / KKR-CPA / 相の安定性 / シミュレーテッド・アニーリング模型 / 分子動力学法
Research Abstract

The purpose of the present project was, partly, to develop the ab-initio molecular dynamics (MD) method, which had been so successful for semi-conductor physics, such that it was also applicable to transition metal systems. Though not yet having got the molecular dynamics actually run, the project, we believe, is really successful in the sense that we could make a steady step to this end. Since the above MD method had not been completed, we were obliged, in studying martensitic transformations, which itself formed another part of the present project, to use rather conventional methods : one based on a phenomenological approach, another by electronic structure calculations. New developments which have been made so far concerning the project are summarized in the following :
i) We have established the full-potential KKR method as a realistic and convenient tool for accurate electronic structure calculation of metallic and complex systems. It was shown that this new technique was applicabl … More e to the simulated annealing model, or the molecular dynamics, rather straightforwardly, and thus enabled us to perform a Car-Parrinello-like Procedure also for transition metals. Our preliminary calculations showed that dealing with an unit cell containing-10 atoms in it by this method would cost around 1 minute of CPU time on a typical super-computer.
ii) Relation between periods of spatially modulated first-kind antiferromagnetic structure and orthorhombic lattice distortion in an fcc lattice were discussed on a basis of Landau's phenomenological theory. The period of the magnetic modulation turned out either the same or twice as long as that of the lattice distortion. The magnetic structure of gamma-Fe precipitated in Cu was discussed in the light of this result.
iii) To reveal the microscopic origin of the successive martensitic transformation seen in Fe-Pd system near Pd 30% region, we performed the KKR-CPA-LSD electronic structure calculation. The total energy change was calculated accurately along the pass connecting the fcc and bcc structures (Bain's distortion). The result showed that the fcc structure actually became unstable around Pd 30%. The calculation, however, failed to prove the existence of the fct phase, which is likely to exist experimentally even at T=OK ; instead it predicted a 1st order-like jump from the fcc to the bcc structure. Less

Report

(4 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • 1988 Annual Research Report
  • Research Products

    (45 results)

All Other

All Publications (45 results)

  • [Publications] P.H.Dederichs,H.Akai,S.Bluegel,N.Stefanou and R.zeller: "Electronic Structure and Magnetic Properties of Impurities Metals" “Alloy Phase Stability,G.M.Stocks and A.Gonis(eds.),Kluwer Academic Publishers. 377-420 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J.Manamori and H.Akai: "Bulk and Defect Electronic Structure of Magnetic Alloys" Material Science Forum. 37. 1-23 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai: "A Fast KKRーCPA Method and Electronic Structure of Transition Metal Alloys" Meterial Science Forum. 37. 211-221 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai: "Fast KorringaーKohnーRostoker Coherent Potential Approximation Method and Its Application to fcc NiーFe Systems" J.Phys:Condensed Matter. 1. 8045-8063 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] C.Carbone,G.S.Sohal,H.Akai,E.Kisker and E.F.Wassermann: "SpinーResolved Photoemission from Fe^<0.65>Ni^<0.35> Invar Alloys" Solid State Commun.72. 1111-1115 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N.Stefanou,H.Akai and R.Zeller: "An Efficient Numerical Method to Calculate Shape Tnancation Function for WignerーSeitz Polyhedra" Comput.Phys.Commun.60. 231-238 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Ebert and H.Akai: "theoretical Study of Magnetic and MagnetoーOptical Properties of FeーBased Transition Metal Alloys" J.Appl.Phys.67. 4798-4800 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai,M.Akai,S.Bluegel,K.terakura,B.Drittler,H.Ebert R.Zeller and P.H.Dederichs: "Theory of Hyperfinse Interactions in Metals" Prog.Theor.Phys.supplement. 101. 11-77 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai,K.Terakura and J.Kanamori: "Hyperhine Interactions μ^+,Muonium and μ^- in Solids" Perspective in Meson Soience,T.Yamazaki,K.Nakai and K.Nagamine(eds.),to be published.(1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai,B.Drittler and P.H.Dederichs: "Full Potential KKR:Applicability to Simulated Annealing Model" Molecular Dynamics Simulation,F.Yonezawa(ed.),Springer,Berlin,in press.(1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K.Hirai: "Unenhanced Spin Susceptibility Consideration of the Spin Density Wave State in fcc Fe" J.Phys.Soc.Jpn.58. 4288-4291 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K.Hirai: "Spin Density Wave Statse in Transition Metals" Prog.Theor.Phys.supplement. 101. 119-132 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.Jo: "Spatial ModーIation of MultipleーQ SPin Coupled with Lattice Distortion,and Magnetism of γーFe Precipitated in Cu" J.Phys:Condensed Matter. 1. 7971-7975 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] P. H. Dederichs, H. Akai, S. Blugel, N. Stefanou and R. Zeller: "Electronic Structure and Magnetic Properties of Impurities in Metals" Alloy Phase Stability, G. M. Stocks and A. Gonis (eds). Kluwer Academic Publishers. 377-420 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] J. Kanamori and H. Akai: "Bulk and Defect Electronic Structure of Magnetic Alloys" Materials Science Forum. 37. 1-23 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Akai: "A Fast KKR-CPA Method and Electronic Structure of Transition Metal Alloys" Materials Science Forum. 37. 211-221 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Akai: "Fast Korringa-Kohn-Rostoker Coherent Potential Approximation Method and Its Application to fcc Ni-Fe Systems" J. Phys : Condensed Matter. 1. 8045-8063 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] C. Carbone, G. S. Sohal, H. Akai, E. Kisker and E. F. Wassermann: "Spin-Resolved Photoemission from Fe_<0.65> Ni_<0.35> Invar Alloy" Solid State Commun.72. 1111-1115 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Stefanou, H. Akai and R. Zeller: "An Efficient Numerical Method to Calculate Shape Truncation Function for Wigner-Seitz Polyhedra" Comput. Phys. Comm. 60. 231-238 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Ebert and H. Akai: "Theoretical Study of Magnetic and Magneto-Optical Properties of Fe-Based Transition Metal Alloys" J. Appl. Phys. 67. 67. 4798-4800 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Akai, M. Akai, S. Blugel, K. Terakura, P. H. Dederichs, B. Drittler, R. Zeller and H. Ebert: "Theory of Hyperfine Interactions in Metals" Prog. Theor. Phys. supplement. 101. 11-77 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Akai, K. Terakura and J. Kanamori: "Hyperfine Interactions of mu^+, Muonium and mu^- in Solids" Perspective in Meson Science, T. Yamazaki, K. Nakai and K. Nagamine (eds.). (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Akai, B. Drittler and P. H. Dederichs: "Full Potential KKR : Applicability to Simulated Annealing Model" Molecular Dynamics Simulation, F. Yonezawa (ed.). Springer, Berlin. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K. Hirai: "Unenhanced Spin Susceptibility Consideration of the Spin Density" J. Phys. Soc. Jpn. 58. 4288-4291 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] K. Hirai: "Spin Density Wave States in Transition Metals" Prog. Theor. Phys. Suppl. 101. 119-132 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. Jo: "Spatial Modulation of Multiple-Q Spin Density Coupled with Lattice Distortion, and Magnetism of gamma-Fe Precipitated in Cu" J. Phys : Condensed Matter. 1. 7971-7975 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.Akai,B.Drittler P.H.Dedrichs: "Full Potential KKR:Applicabilty to Simulated Annealing Model" Springer Series in SolidーState Science. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Akai: "Elctronic Structure and Martensitic Transformation of FeーBased Transion Metal Alloys" Journal of Physical Society of Japan. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Akai,N.Stefanou R.Zeller: "閉n Efficient Numerical Method to Calculate Shape Trucation Functions for WignerーSeitz Atomic Polyhedra" Computer Physics Communications. 60. 231-238 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Akai: "Fast KorringaーKohnーRostoker Coherent Potential Approximation Method and Its Appolication to fcc NiーFe Systems" J.Phys;Condensed Matter. 1. 8045-8063 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Hiraki: "Unenhanced Spin Susceptibility Consideration of the Spin Density Wave State in fcc Fe" Journal of Physical Society of Japan. 58. 4288-4291 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Jo: "Spatial Modulation of MultipleーQ Spin Density Coupled with Lattice Distortion,and Magnetism of γーFe Precipitated in Cu" J.Phys;Condensed Matter. 1. 7971-7975 (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Akai: "A Fast KKR-CPA Method and Electronic Structure of Transition Metal Alloys" Materials Science Forum. 37. 211-221 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Akai: "Fast Korringa-Kohn-Rostoker Ciherent Potential Approximation Method and Its Application fo fcc Ni-Fe Systems" J.Phys:Condensed Matter. 1. 8045-8063 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Akai,P.H.Dederichs and J.Kanamori: "Magnetic Properties of Ni- and Co Alloys calculated by KKR-CPA-LSD Method" J.de Physique. C8. 23-24 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] K.Hirai: "Unenhanced Spin Susceptibility Consideration of the Spin Density Wave state in fcc Fe" J.of Physical Society of Japan. 58. 4288-4291 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Jo: "Spatial Modulation of Muitiple-O Spin Density Cpupled with Lattice Distortion,and Magnetism of γ-Fe Precipitated in Cu" J.Physics:Condensed Matter. 1. 7971-7975 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Jo: "Effect of Valence Mixing on Multiplet Structure in the 4d Core Photoabsorption Spectra for Ce Compounds" J.Physical Society of Japan. 58. 1452-1463 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] P.H.Dederichs,H.Akai, S.Bluegel, N.Stefanou and R.Zeller: "“Alloys Phase Stability",G.M.Stocks and A.Gonis(eds)" Kluwer Academic Publishers, (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Akai: J.Phys.C(1989). (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] H.Akai;P.H.Dederichs;J.Kanamori: J.de Physique(1989). (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] H.Akai: Hyperfine Interactions. 43. 261-276 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] C.Carbone;G.S.Sohal;H.Akai;E.Kisker;E.F.Wassermann: Solid State Commun.(1989). (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] T.Jo;A.Kotani: Phys.Rev.B. 38. 830-833 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] S.Imada;T.Jo: J.Phys.Soc.Jpn.58. 402-405 (1989)

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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