2015 Fiscal Year Final Research Report
Theoretical study of crystallization of supercooled liquids and temeprature-modulation non-linear response
| Project/Area Number |
25400429
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Biological physics/Chemical physics/Soft matter physics
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | 非平衡系 / 自由エネルギーランドスケープ / 過冷却液体 / ガラス転移 / 温度変調応答 / 結晶化 / 初到達時間 / 臨界結晶核 |
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| Outline of Final Research Achievements |
The Free Energy Landscape (FEL) theory applicable to description of dynamic and thermodynamic properties of non-equilibrium systems was scrutinized in its validity and robustness. The temperature-modulated non-linear dielectric response is analyzed on the basis of the FEL and it is shown that (1) the response to a temperature modulation satisfies the super-position rule and (2) the response of the FEL to a temperature modulation manifests itself in a non-linear response. The crystallization of super-cooled liquids was related to the first passage time in the FEL and the nose-shaped TTT diagram was shown to be the consequence of the thermodynamic effect at higher temperatures and the dynamic effect at lower temperatures. Molecular dynamics simulation was exploited for the Lennard-Jones-Gauss system in two dimensions to show that (1) the critical nucleus size diverges at the melting temperature and (2) the solid-like region increases suddenly at the glass transition temperature .
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| Free Research Field |
物性理論・統計力学
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