Study on asymptotic behavior of stochastic interface models
Project/Area Number |
23740086
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Keio University |
Principal Investigator |
|
Project Period (FY) |
2011 – 2013
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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Keywords | 確率論 / 統計力学 / 相分離界面 / Gibbs測度 / Gauss過程 / 界面モデル / 相転移 / ギブス測度 / 自由エネルギー |
Research Abstract |
In this research, we considered several stochastic models on lattice and studied its asymptotic behavior for the mathematical analysis of phase separating interface and membrane. We first considered Laplacian phi model as a model of membrane and studied its free energy under the effect of two types of external potentials. We also considered a Gaussian process which appears in the time evolution of gradient phi interface model and obtained estimates on its persistence probability.
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Report
(4 results)
Research Products
(10 results)