2016 Fiscal Year Final Research Report
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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| 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 |
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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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| Free Research Field |
大自由度系の力学と統計力学
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