High-performance computing of phase transitions using GPU
| Project/Area Number |
25400406
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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 | Tokyo Metropolitan University |
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Principal Investigator |
OKABE Yutaka 首都大学東京, 理工学研究科, 客員教授 (60125515)
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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 |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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| Keywords | モンテカルロ法 / GPU / クラスターフリップ法 / フラストレーション / イジングモデル / 準結晶 / レプリカ交換法 / 有限サイズスケーリング / スピンアイス / 並列計算 / ポッツモデル / XYモデル |
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| Outline of Final Research Achievements |
I developed parallel calculation of cluster-flip Monte Carlo algorithm using the Graphical Processing Unit (GPU). I enrolled the program of our group in the program library of Comp. Phys. Commun. for the convenience of other researchers.
I applied the GPU algorithm of the cluster-flip Monte Carlo simulation to the problem of the phase transition of the spin models on the quasi-lattices, that is, the Penrose lattice and its dual lattice. I also applied the GPU algorithm to the problem of ferromagnetic spin models on the pyrochlore lattice.
I also studied the frustrated antiferromagnetic systems on the pyrochlore lattice. Using the Wang-Landau method, which calculates the energy density of states directly, I studied the residual entropy of the diluted spin-ice models. Using the replica-exchange method for both the temperature and magnetic field, I investigated the magnetization curve of the diluted spin-ice problem.
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Report
(5 results)
Research Products
(16 results)
