2017 Fiscal Year Final Research Report
Classical and quantum dynamics behind diffusion and localization in chaotic systems-from low to high dimensional dynamics-
| Project/Area Number |
15K13539
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
池田 研介 立命館大学, 理工学部, 教授 (40151287)
奥島 輝昭 中部大学, 工学部, 准教授 (10434721)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | 多自由度カオス / クラスター / 量子カオス / 動的局在 / カイネティクス / 遅い緩和 |
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| Outline of Final Research Achievements |
We have numerically investigated some classical and quantal aspects of many dimensional chaos by paying a special emphasis on the localization and non-localization(diffusion) of probability flow.
(1)For classical systems, we elucidate the relationship between chaotic dynamics and micro-canonical transition state theory in the isomerization dynamics of a Lennard-Jones cluster in terms of the lifetime distributions for stable isomers. Moreover,(2)we developed a novel numerical method to extract the bottleneck process (the slowest relaxation mode) from the complicated transition network among stable states.(3)For quantum map systems, we have found a phenomenological scaling rule for the localization length, which can be derived by the self-consistent mean-field theory on the basis of a new hypothesis.The localization to non-localization transition in multidimensional quantum chaotic maps has been discussed by means of the so-called quantum coupled kicked rotor.
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| Free Research Field |
非線形ダイナミクス
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