Formulation of the thermodynamic formalism for superstatistics and systematic derivations of scaling laws in complex systems
| Project/Area Number |
20540374
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Mie University |
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Principal Investigator |
ABE Sumiyoshi Mie University, 大学院・工学研究科, 教授 (70184215)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 超統計 / 複雑系 / 超統計理論 / 対数正規分布 / 発達乱流 / ユニヴァーサリティ・クラス / 熱力学形式 / 条件付き確率 / ハイパーアンサンブル / 条件付き熱統計力学 / 最大エントロピー原理 |
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| Research Abstract |
Among the obtained results, the most important is concemed with the success in formulating log-normal superstatistics (LNS). LNS belongs to three universality classes in superstatistics and can be applied to important phenomena such as turbulence. In the earlier works, LNS has been discussed only in the context of the central limit theorem for multiplicative processes. In my work, I focus my attention on entropy fluctuations in nonequilibrium systems and formulate LNS based on the fluctuation theorem. In addition to this, I could also complete other works on complex systems and quantum thermodynamics.
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Report
(4 results)
Research Products
(51 results)
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[Presentation] Aftershocks2011
Author(s)
S.Abe
Organizer
'Interdisciplinary Applications of Statistical Physics & Complex Networks', The Kavli Institute for Theoretical Physics China
Place of Presentation
Beijing, China (3月22日に招待講演)
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[Presentation] Aftershocks2008
Author(s)
S.Abe
Organizer
The International Conference on Nonextensive Statistical Mechanics-Foundations and Applications
Place of Presentation
Foz do Iguacu, Parana, Brazil (招待講演)
Related Report
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