Stochastic analysis on the phase separating random interface

相分离随机界面的随机分析

• 批准号: 19740054
• 负责人: SAKAGAWA Hironobu
• 金额: $ 1.45万
• 依托单位: Keio University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740054/
• 关键词: 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

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.

在两种不同的纯相在空间中共存的情况下，就像零温度下的水/冰一样，形成了称为界面的超曲面，并在微观水平上将这些不同的相分开。在本研究中，我们考虑了界面的平衡模型，主要研究了界面与壁面相互作用的渐近行为。特别是，我们得到了数学上严格和精确的结果，这是以前得到的几个启发式参数。

项目成果

Behavior of the massless Gaussian field interacting with the wall

无质量高斯场与壁相互作用的行为

• 发表时间: 2009
• 作者: H.Fujiwara;K.Iwama;Y.Sekiguchi;Y. Sekiguchi;Y.Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Hironobu Sakagawa;Hironobu Sakagawa;Hironobu Sakagawa;坂川博宣;坂川博宣;坂川博宣;坂川博宣;Hironobu Sakagawa
• 通讯作者: Hironobu Sakagawa

Entropic repulsion of the massless field with a class of self-potentials,, 大規模相互作用系の確率解析

具有一类自势的无质量场的熵斥力，大规模相互作用系统的随机分析

• 发表时间: 2008
• 作者: H.Fujiwara;K.Iwama;Y.Sekiguchi;Y. Sekiguchi;Y.Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Hironobu Sakagawa;Hironobu Sakagawa;Hironobu Sakagawa;坂川博宣;坂川博宣;坂川博宣;坂川博宣;Hironobu Sakagawa;坂川博宣
• 通讯作者: 坂川博宣

Confinement of the two dimensional discrete Gaussian free field between two hard walls,, 大規模相互作用系の確率解析

两个硬墙之间的二维离散高斯自由场的限制，大规模相互作用系统的随机分析

• 发表时间: 2009
• 作者: H.Fujiwara;K.Iwama;Y.Sekiguchi;Y. Sekiguchi;Y.Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Hironobu Sakagawa;Hironobu Sakagawa;Hironobu Sakagawa;坂川博宣
• 通讯作者: 坂川博宣

Behavior of the massless Gaussian fieldinteracting with the wall, 慶応確率論セミナー

无质量高斯场与墙壁相互作用的行为，庆应义塾概率论研讨会

• 发表时间: 2009
• 作者: H.Fujiwara;K.Iwama;Y.Sekiguchi;Y. Sekiguchi;Y.Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Hironobu Sakagawa;Hironobu Sakagawa;Hironobu Sakagawa;坂川博宣;坂川博宣;坂川博宣
• 通讯作者: 坂川博宣

Confinement of a Gaussian lattice fieldbeteween two hard walls

两个硬壁之间高斯晶格场的限制

• 发表时间: 2007
• 作者: H.Fujiwara;K.Iwama;Y.Sekiguchi;Y. Sekiguchi;Y.Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Y. Sekiguchi;Yoshiyuki Sekiguchi;Hironobu Sakagawa;Hironobu Sakagawa;Hironobu Sakagawa;坂川博宣;坂川博宣;坂川博宣;坂川博宣;Hironobu Sakagawa;坂川博宣;坂川博宣;坂川博宣
• 通讯作者: 坂川博宣