2016 Fiscal Year Final Research Report
Phase Transition with an Ergodicity Breaking in Lattice Glass Models
| Project/Area Number |
25400387
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kanagawa University (2014-2016)
Tohoku University (2013) |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | ガラス / エルゴード性の破れ / 位相空間分割転移 / スピングラス / レプリカ対称性の破れ / エイジング / 非平衡ダイナミクス |
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| Outline of Final Research Achievements |
I invented an efficient Monte-Carlo method for lattice glass models. I also invented a numerical method of directly detecting ergodicity breaking in glassy systems. To examine the validity of the method, I applied it to the Biroli-Mezard (BM) lattice glass model on a regular random graph. As a result, I found that our method detects an ergodicity breaking at an occupation density predicted by the cavity method. I also studied aging phenomena of response to an external field in the BM lattice glass model by introducing magnetization and magnetic field to the model. As a result, I obtained several curious results such as nonmonotonous time-dependence of magnetization in a constant field.
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| Free Research Field |
数物系科学
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