2009 Fiscal Year Final Research Report
Stochastic analysis on the phase separating random interface
| 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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| Keywords | 相転移 / 相分離界面 / Gibbs測度 / エントロピー的反発 / 相関長 |
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| 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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