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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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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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 / 格子ガラスモデル / スローダイナミクス / 格子ガスモデル |
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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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Report
(5 results)
Research Products
(13 results)
