Theoretical Study of Non-Hermitian Dynamics on the Basis of the Classical Mechanics
| Project/Area Number |
19740235
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo (2008-2010)
Nagoya University (2007) |
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Principal Investigator |
WATANABE Hiroshi The University of Tokyo, 物性研究所, 助教 (50377777)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,300,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥600,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | 統計物理学 / 分子動力学法 / 温度制御 / リュービル演算子 / エルミート性 / 変分原理 / リューピル演算子 / エルゴード性 / ランジュバン方程式 / Nose-Hoover法 |
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| Research Abstract |
The Nose-Hoover method is studied as a non-Hamilton dynamics system. A stochastic process of the Nose-Hoover method is discussed on the basis of the Markovian approximation. It is proved that the dynamics which achieves Gibbs' canonical distribution must involve non-canonical transformation.
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Report
(6 results)
Research Products
(91 results)
