Study on spin glasses at low temperatures 低温におけるスピングラスの研究
Access this Article
Search this Article
Author
Bibliographic Information
- Title
-
Study on spin glasses at low temperatures
- Other Title
-
低温におけるスピングラスの研究
- Author
-
川島, 直輝, 1964-
- Author(Another name)
-
カワシマ, ナオキ
- University
-
東京大学
- Types of degree
-
博士 (理学)
- Grant ID
-
甲第9330号
- Degree year
-
1992-03-30
Note and Description
博士論文
Table of Contents
- Contents / p5 (0005.jp2)
- 1 Introduction / p1 (0007.jp2)
- 2 Infinite-dimensional models / p17 (0015.jp2)
- 2.1 Introduction / p17 (0015.jp2)
- 2.2 SK model / p18 (0016.jp2)
- 2.3 Spin glass on the Bethe lattice / p28 (0021.jp2)
- 2.4 Summary / p59 (0036.jp2)
- 2.A Appendix / p61 (0037.jp2)
- 3 Two-dimensional models / p69 (0041.jp2)
- 3.1 Introduction / p69 (0041.jp2)
- 3.2 Scaling arguments for the critical behavior of the two-dimensional EA spin-glasses / p76 (0045.jp2)
- 3.3 The droplet argument and the stiffness exponent / p83 (0048.jp2)
- 3.4 Numerical verification of the droplet argument / p94 (0054.jp2)
- 3.5 Summary / p104 (0059.jp2)
- 4 Three-dimensional models / p107 (0060.jp2)
- 4.1 Introduction / p107 (0060.jp2)
- 4.2 Models / p110 (0062.jp2)
- 4.3 Predictions by several pictures and theories / p112 (0063.jp2)
- 4.4 Numerical calculations / p115 (0064.jp2)
- 4.5 Summary / p129 (0071.jp2)
- 5 Methods for numerical calculations / p133 (0073.jp2)
- 5.1 Introduction / p133 (0073.jp2)
- 5.2 Algorithm for Monte Carlo simulations / p144 (0079.jp2)
- 5.3 Numerical transfer-matrix method / p157 (0085.jp2)
- 5.4 Replica optimization method / p162 (0088.jp2)
- 5.5 Summary / p190 (0102.jp2)
- 5.A Appendix / p193 (0103.jp2)
- 6 Concluding remarks and future problems / p203 (0108.jp2)
- References / p207 (0110.jp2)