| Project/Area Number |
19740054
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Keio University |
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Principal Investigator |
SAKAGAWA Hironobu Keio University, 理工学部, 講師 (60348810)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
|
| Budget Amount *help |
¥2,260,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | 相転移 / 相分離界面 / Gibbs測度 / エントロピー的反発 / 相関長 / 相関関数 / 国際研究者交流 / フランス |
|---|
| Research Abstract |
Under the situation that two distinct pure phases coexist in space like water/ice at zero temperature, hypersurfaces called interfaces are formed and separate these distinct phases at the microscopic level. In this research, we considered the ∇φ interface model as an equilibrium model of such interface and studied mainly asymptotic behaviors of the interface interacting with the wall. Especially, we obtained mathematically rigorous and precise results which were previously obtained by several heuristic arguments.
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