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Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions
http://hdl.handle.net/10935/5337
http://hdl.handle.net/10935/53375bc76212-099d-4aaa-bd67-d3a2d11691be
| 名前 / ファイル | ライセンス | アクション |
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| アイテムタイプ | default_学術雑誌論文 / Journal Article(1) | |||||
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| タイトル | ||||||
| タイトル | Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Classical statistical mechanics | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Coupled oscillators | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | oscillator network | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Phase transitions | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Synchronization | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Synchronization transition | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
木本,智幸
× 木本,智幸× 上江洌,達也 |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study correspondence between a phase oscillator network with distributed natural frequencies and a classical XY model at finite temperatures with the same random and frustrated interactions used in the Sherrington-Kirkpatrick model. We perform numerical calculations of the spin glass order parameter q and the distributions of the local fields P(R), where R is the amplitude of the local field. As a result, we find that the parameter dependences of P(R) in both models agree fairly well in all ranges of parameters in the spin glass phase and those of q agree at least for lower values of parameters in the spin glass phase, if parameters are normalized by using the previously obtained correspondence relation between two models with the same other types of interactions. Furthermore, we numerically calculate the time evolution of quantities such as the instantaneous local field in the phase oscillator network in order to study the roles of synchronous and asynchronous oscillators. We also study the self-consistent equation of the local fields in the oscillator network and XY model derived by the mean-field approximation. | |||||
| 言語 | en | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | (c) 2019 American Physical Society | |||||
| 言語 | en | |||||
| 書誌情報 |
en : Physical review. E 巻 100, 号 2, p. 032918-1, 発行日 2019-08-27 |
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| 出版者 | ||||||
| 出版者 | American Physical Society | |||||
| 言語 | en | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 2470-0045 | |||||
| 書誌レコードID | ||||||
| 識別子タイプ | NCID | |||||
| 関連識別子 | AA11734715 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1103/PhysRevE.100.022213 | |||||
| 関連名称 | 10.1103/PhysRevE.100.022213 | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||