2013 Fiscal Year Final Research Report
Hydrodynamic limit for multi-species exclusion processes
| Project/Area Number |
23540132
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Niigata University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Keywords | 流体力学極限 / 格子気体 |
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| Research Abstract |
We studied the hydrodynamic limit for multi-species lattice gas model, which is a simplified model for large scale interacting particle systems. The proof of the hydrodynamic limit is divided into three parts. We proved first and second parts, "an estimate of the spectral gap" and "the central limit theorem variance". However third part, "properties of limiting equation", is not proved.
We also obtained similar results for "exclusion process with degenerate rates", which has similar properties to multi-species lattice gas model.
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