| Co-Investigator(Kenkyū-buntansha) |
伊丹 將人 京都大学, 理学研究科, 特定助教 (00779184)
横倉 祐貴 国立研究開発法人理化学研究所, 数理創造プログラム, 上級研究員 (50775616)
中川 尚子 茨城大学, 理工学研究科(理学野), 教授 (60311586)
杉浦 祥 東京大学, 物性研究所, 特別研究員 (20793350)
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| Budget Amount *help |
¥44,330,000 (Direct Cost: ¥34,100,000、Indirect Cost: ¥10,230,000)
Fiscal Year 2021: ¥7,280,000 (Direct Cost: ¥5,600,000、Indirect Cost: ¥1,680,000)
Fiscal Year 2020: ¥7,670,000 (Direct Cost: ¥5,900,000、Indirect Cost: ¥1,770,000)
Fiscal Year 2019: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000)
Fiscal Year 2018: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Fiscal Year 2017: ¥10,140,000 (Direct Cost: ¥7,800,000、Indirect Cost: ¥2,340,000)
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| Outline of Final Research Achievements |
Motivated by the theory that entropy is characterized as a Noether invariant associated with symmetry for non-uniform time translation, we have formulated various hierarchies of non-equilibrium dynamics based on symmetry. In the quantum system, the "thermodynamically effective action" defined in the thermodynamic state space is constructed from the microscopic quantum theory. In the stochastic process, by finding a new continuous transformation called continuous-time reversal, it has become possible to systematically derive a stronger inequality than the second law of thermodynamics. In the O (2) model under shear flow where the time-reversal symmetry is broken, it is shown that the two-dimensional continuous symmetry breaking occurs at a finite temperature. A procedure for concretely deriving fluctuating hydrodynamics from microscopic mechanics is also found.
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