Exact analyses on dynamical properties of one-dimensional stochastic models
| Project/Area Number |
22740251
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
IMAMURA Takashi 東京大学, 先端科学技術研究センター, 助教 (70538280)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 数理物理 / KPZ方程式 / レプリカ法 / 厳密解 / ボーズガス / KPZ / 確率過程 / レプリカ / ボース気体 / ASEP / ランダム行列 / 非平衡 / 揺らぎ |
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| Research Abstract |
We have investigated exact time evolution properties of the stochastic models which describe nonequilibrium systems especially the asymmetric simple exclusion process, which is a many-body random walk model and the Kardar-Parisi-Zhnag equation, a basic equation for surface growth phenomena. In some important initial conditions, we have obtained exact expressions for the probability distribution functions of some important physical quantities such as current, height etc.
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Report
(4 results)
Research Products
(44 results)
