Dynamics and thermodynamics in non-additive systems
| Project/Area Number |
23560069
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 非相加系 / 長距離相互作用 / 準定常状態 / 応答理論 / 臨界指数 / ランダウ減衰 / 運動論 / 臨界現象 / 国際情報交換 / フランス / パターン形成 / 熱浴 / フランス:イタリア / 線形応答理論 / フランス：イタリア / 非相加性 / 非平衡統計力学 |
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| Outline of Final Research Achievements |
Long-range interactions, which can be found in gravitating systems and electromagnetic systems for instance, break the additivity assumption of thermodynamics and statistical mechanics. In the non-additive systems, dynamics also shows a charcteristic phenomenon of trapping at a so-called quasi-stationary state. This project has pointed out that the quasi-stationary state is realized due to existence of conserved quantities which appear in the non-additive systems. We have revealed that the existence of conserved quantities changes the values of some critical exponents. Moreover, some problems of dynamics have been solved under an extended setting, which brings theoretical difficulty comparing with the previous setting.
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Report
(7 results)
Research Products
(36 results)
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[Presentation] Nonlinear response theory in long-range Hamiltonian systems2014
Author(s)
Yoshiyuki Y. YAMAGUCHI
Organizer
Workshop on Advances in Nonequilibrium Statistical Mechanics: large deviations and long-range correlations, extreme value statistics, anomalous transport and long-range interactions
Place of Presentation
The Galileo Galilei Institute for Theoretical Physics, ITALY
Year and Date
2014-05-27
Related Report
Invited
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