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タイトル: | Calculation of the 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz |
著者: | Ueda, Masahiko https://orcid.org/0000-0002-8168-0102 (unconfirmed) Sasa, Shin-ichi |
著者名の別形: | 上田, 仁彦 |
キーワード: | cavity and replica method spin glasses (theory) |
発行日: | 14-Feb-2014 |
出版者: | IOP Publishing |
誌名: | Journal of Statistical Mechanics: Theory and Experiment |
巻: | 2014 |
号: | 2 |
論文番号: | P02005 |
抄録: | We study p-spin glass models on regular random graphs. By analyzing the Franz–Parisi potential with a two-body cavity field approximation under the replica symmetric ansatz, we obtain a good approximation of the 1RSB transition temperature for p = 3. Our calculation method is much easier than the 1RSB cavity method because the result is obtained by solving self-consistent equations with Newton's method. |
著作権等: | © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/198804 |
DOI(出版社版): | 10.1088/1742-5468/2014/02/P02005 |
出現コレクション: | 学術雑誌掲載論文等 |
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