| Project/Area Number |
14540348
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
物性一般(含基礎論)
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| Research Institution | Tohoku University |
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Principal Investigator |
TOKUYAMA Michio Tohoku University, Institute of Fluid Science, Professor, 流体科学研究所, 教授 (40175477)
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| Co-Investigator(Kenkyū-buntansha) |
TERADA Yayoi Tohoku University, Institute of Fluid Science, Research Associate, 流体科学研究所, 助手 (20301814)
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| Project Period (FY) |
2002 – 2005
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| Project Status |
Completed (Fiscal Year 2005)
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| Budget Amount *help |
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | Colloidal Suspensions / Glass Transition / Supercooled Liquid / Nonlinear Fluctuations / Logarithmic・Power-Law Decay / Universality・Similarity / Spatial Heterogeneities / Long-Lived Relaxation / 平均二乗変位の対数成長則 / 原子・分子系 / 非発散性 / 普遍性 / 荷電コロイド分散系 / 剛体球系 / 磁性コロイド分散系 / 非線形密度揺らぎ / 擬2次元系 / 流体力学的相互作用 / 長時間拡散係数 / 非線形緩和現象 / 非平衡揺らぎ / スローダイナミクス / 異常緩和過程 / 不均一空間構造 / ソフトマター |
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| Research Abstract |
We have studied the colloidal glass transitions not only by constructing the theory but also by performing the extensive computer simulations and obtained the following important achievements.
1)In order to clarify how the hydrodynamic interactions between colloids play an important role near the glass transition, we have performed two types of computer simulations on the systems of hard spheres, the Brownian-dynamics simulation and the molecular-dynamics simulation. By analyzing the data from a unified point of view based on the mean-field theory proposed recently by Tokuyama, we have thus first shown that the glass transition can not occur without the hydrodynamic interactions.
2)We have numerically solved the nonlinear stochastic diffusion equation for the density fluctuations derived in 2001 by Tokuyama from a first principle and then shown that the long-lived spatial heterogeneities caused by the nonlinear density fluctuations near the glass transition are an important origin of a famous two-step relaxation.
3)Tokuyama has proposed the mean-field theory by deriving the nonlinear equation for the mean-square displacement from the nonlinear stochastic diffusion equation. It has been shown to be applicable not only for colloidal suspensions but also for glass-forming materials by analyzing several different experimental and simulation data. The theory thus predicts remarkable similarities between different glass transitions and proposes an approach quite different from the conventional ones to understand the glass transition, including a logarithmic decay and no divergence of any characteristic times.
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