Monte Carlo study of the Ising model モンテカルロ法によるイジング模型の研究

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Author

    • 伊藤, 伸泰 イトウ, ノブヤス

Bibliographic Information

Title

Monte Carlo study of the Ising model

Other Title

モンテカルロ法によるイジング模型の研究

Author

伊藤, 伸泰

Author(Another name)

イトウ, ノブヤス

University

東京大学

Types of degree

理学博士

Grant ID

甲第8869号

Degree year

1991-03-29

Note and Description

博士論文

Table of Contents

  1. Contents / p1 (0003.jp2)
  2. Abstract / p7 (0006.jp2)
  3. List of Papers Submitted for the Requirement of this Degree / p9 (0007.jp2)
  4. Acknowledgements / p11 (0008.jp2)
  5. 1 Introduction / p1 (0009.jp2)
  6. 1.1 Ising Model / p2 (0010.jp2)
  7. 1.2 Monte Carlo Method / p5 (0011.jp2)
  8. 1.3 Supercomputing / p9 (0013.jp2)
  9. 2 Monte Carlo Dynamics / p13 (0015.jp2)
  10. 2.1 Stochastic Dynamics of the Ising Model / p14 (0016.jp2)
  11. 2.2 Single-Spin-Flip Dynamics of the Ising Chain / p16 (0017.jp2)
  12. 2.3 Multi-Spin-Flip Dynamics of the Ising Chain / p27 (0022.jp2)
  13. 2.4 Critical Dynamics of Square-Lattice Ising Model / p34 (0026.jp2)
  14. 3 Implementation / p39 (0028.jp2)
  15. 3.1 Introduction / p40 (0029.jp2)
  16. 3.2 Spin Updating Algorithm / p41 (0029.jp2)
  17. 3.3 Random Number Generation Algorithm / p45 (0031.jp2)
  18. 3.4 Test of the Random Number / p48 (0033.jp2)
  19. 3.5 Coding for Vector Processor / p52 (0035.jp2)
  20. 3.6 Calculations of Physical Quantities / p57 (0037.jp2)
  21. 3.7 Summary and Discussion / p58 (0038.jp2)
  22. 4 Spontaneous Magnetization of the Three-Dimensional Ising Model / p61 (0039.jp2)
  23. 4.1 Introduction / p62 (0040.jp2)
  24. 4.2 Extrapolation Formula / p63 (0040.jp2)
  25. 4.3 Simulations / p63 (0040.jp2)
  26. 4.4 Critical Behavior / p64 (0041.jp2)
  27. 4.5 Summary and Conclusion / p73 (0045.jp2)
  28. 5 Cluster Approximations and CAM / p79 (0048.jp2)
  29. 5.1 Introduction / p80 (0049.jp2)
  30. 5.2 Formulation of the Cluster Approximations / p81 (0049.jp2)
  31. 5.3 Monte Carlo Calculations of the Cluster Approximations / p86 (0052.jp2)
  32. 5.4 Naive CAM Analysis / p88 (0053.jp2)
  33. 5.5 Phenomenology of the Cluster Weiss Approximation / p91 (0054.jp2)
  34. 5.6 Phenomenology of the Cluster Modified Bethe Approximation / p99 (0058.jp2)
  35. 5.7 Analysis of the 3D Ferromagnetic Ising Model / p103 (0060.jp2)
  36. 5.8 Other Quantities / p108 (0063.jp2)
  37. 5.9 Summary and Discussion / p109 (0063.jp2)
  38. 5.10 Appendix:The Minimal Cluster-Bethe approximation / p109 (0063.jp2)
  39. 6 Future Perspectives of Computational Physics / p111 (0064.jp2)
  40. Bibliography / p115 (0066.jp2)
  41. Index / p125 (0071.jp2)
15access

Codes

  • NII Article ID (NAID)
    500000081627
  • NII Author ID (NRID)
    • 8000000081835
  • DOI(NDL)
  • NDLBibID
    • 000000245941
  • Source
    • NDL ONLINE
    • NDL Digital Collections

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