| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
This project aims to establish the scaling limit for microscopic stochastic models obtained as models of physical and social phenomena to obtain their macroscopic properties. In particular, we focus on stochastic models originated from Hamiltonian dynamics, which is one of the most fundamental dynamics in the classical physics. We succeed to derive rigorously a stochastic partial differential equation from a nonlinear Hamiltonian dynamic with stochastic noise as its macroscopic fluctuation of energy. Also, we study the case where the strength of the noise goes to 0 in the scaling limit and show that the macroscopic behavior depends on the speed of this convergence.
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