| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
During the research period, we have achieved several novel results on the studies of non-equilibrium statistical mechanical models with integrable structures. First we invented a
new approach to study various models in the Kardar-Parisi-Zhang (KPZ) universality class. In particular we applied the techniques to the stochastic six vertex model, which is considered to be a fundamental model in the KPZ class. Second, we have generalized an analysis which has been developed for the single component systems to a multi-species model known as the AHR model. This is also considered as the first confirmation of a prediction of a conjectural theory called the nonlinear fluctuating hydrodynamics, which has been recently successfully applied to various systems with
nonlinear interaction. We have also studied the current fluctuations in a quantum spin chain and succeeded in finding an exact solution for its large deviation. The connection to random matrix theory was observed.
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