2017 Fiscal Year Final Research Report
Thermodynamic framework of non-equilibrium fluctuations
| Project Area | Synergy of Fluctuation and Structure:Foundation of Universal Laws in Nonequilibrium Systems |
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| Project/Area Number |
25103002
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| Research Category |
Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
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| Allocation Type | Single-year Grants |
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| Review Section |
Science and Engineering
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
中川 尚子 茨城大学, 理学部, 教授 (60311586)
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| Project Period (FY) |
2013-06-28 – 2018-03-31
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| Keywords | 熱力学 / ゆらぎ / 非平衡 / エントロピー |
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| Outline of Final Research Achievements |
First, by extending the thermodynamics to non-equilibrium states, we predicted that super-cooled gas stabilizes in gas-liquid transition under heat conduction as a new phenomenon which cannot be described by any conventional theory. Second, we pioneered a methodology to connect micro dynamics and macro dynamics, such as deriving Navier-Stokes equations from the world of microscopic fluctuations. Thirdly, we analyzed time series analysis based on thermodynamics concept, formulated the phenomenon of replica symmetry breaking in the time series, and proposed a new method of rare event sampling. Fourth, it was revealed that singularities of time average fluctuation occur universally based on a thermodynamic framework. Finally, we formulated the entropy as a Noether invariant and found a new aspect of entropy.
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| Free Research Field |
統計物理学
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