Construction of non-equilibrium statistical mechanics for systems with long-range interactions
| Project/Area Number |
18340114
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyoto University |
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Principal Investigator |
SAKAGAMI Masaaki Kyoto University, 大学院・人間・環境学研究科, 教授 (70202083)
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| Co-Investigator(Kenkyū-buntansha) |
TARUYA Atsushi 東京大学, 理学研究科, 助教 (40334239)
OKAMURA Takashi 関西学院大学, 理工学部, 准教授 (30351737)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥8,800,000 (Direct Cost: ¥7,300,000、Indirect Cost: ¥1,500,000)
Fiscal Year 2009: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2006: ¥2,300,000 (Direct Cost: ¥2,300,000)
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| Keywords | 準定常状態 / ポリトロープ / 長距離相互作用 / 重力多体系 / 負の比熱 / Tsallisエントロピー / q-変形 / 長距離相互作用系 / 近距離相互作用系 / HMFモデル / 湯川ポテンシャル / ポリトロ-プ / q-変形パラダイム / HMFモデル. Tsallisエントロピ- / Fokker-Planck方程式 / 2次元HMFモデル / 変分原理 |
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| Research Abstract |
We studied non-equilibrium evolution of the long-rang interacting systems, e.g. the self-gravitating N-body system, by means of the non-additive Tsallis entropy. It was shown that notion of polytrope is quite useful to describe transient evolution of the systems. And we succeeded to derive the evolution equation for polytropic index.
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Report
(6 results)
Research Products
(31 results)
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[Presentation] 熱場の量子論2007
Author(s)
阪上雅昭
Organizer
自己重力系の非平衡物理,研究会
Place of Presentation
京都大学基礎物理学研究所
Year and Date
2007-09-05
Related Report
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[Presentation] 自己重力系の非平衡物理2007
Author(s)
阪上雅昭
Organizer
基礎物理学研究所研究会「熱場の量子論とその応用」
Place of Presentation
京都大学基礎物理学研究所
Year and Date
2007-09-05
Related Report
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