| Project/Area Number |
12640369
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
物性一般(含基礎論)
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
NISHIMORI Hidetoshi Tokyo Institute of Technology, Graduate School of Science and Engineering, Professor, 大学院・理工学研究科, 教授 (70172715)
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| Co-Investigator(Kenkyū-buntansha) |
尾関 之康 東京工業大学, 大学院・理工学研究科, 助手 (70214137)
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| Project Period (FY) |
2000 – 2002
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| Project Status |
Completed (Fiscal Year 2002)
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| Budget Amount *help |
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2001: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | Spin glass / information / phase diagram / Statistical mechanics / 情報 / ゲージ理論 / レプリカ法 / シャノンの定理 / マチス模型 |
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| Research Abstract |
I have investigated the problem of spin glasses with emphasis on relations with information science. The potentially approximate analysis of replica method for the CDMA performance has been checked by rigorous approaches and I have shown that the result is valid in spite of use of the replica method. The problem of subset sum has been investigated and a serious problem has been pointed out in a previous study of this issue. The deficiency has been improved and a new insight into the system behavior has been established. Multispin-interacting system has been studied in the mean-field level to establish that the ratio of spin-glass-like term and ferromagnetic term plays a crucial role in the structure of the phase diagram.
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