2013 Fiscal Year Final Research Report
Thermodynamic glass transition: seeking for statistical mechanical models and extracting their characteristics
| Project/Area Number |
22340109
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyoto University (2012-2013)
The University of Tokyo (2010-2011) |
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Principal Investigator |
SASA Shin-ichi 京都大学, 理学(系)研究科(研究院), 教授 (30235238)
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| Co-Investigator(Kenkyū-buntansha) |
HUKUSHIMA Koji 東京大学, 大学院・総合文化研究科, 准教授 (80282606)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 統計力学 / ガラス / 不規則充填 |
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| Research Abstract |
Toward the ultimate goal to have "ideal glass", in which molecules are frozen in an irregular manner at equilibrium, we have analyzed various mathematical models within a framework of equilibrium statistical mechanics that connect atomic level descriptions with macroscopic states of matter. As the result, we have found a finite dimensional model that exhibits the emergence of macroscopic overlap. While the transition of this model seems to be of the first-order with latent heat, we also find another model that exhibits Random First Order Transition without latent heat. These two results are the first report in the world, and they will provide a significant step toward deep understanding of realistic glasses.
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