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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevE.84.056704.pdf | 494.37 kB | Adobe PDF | 見る/開く |
タイトル: | Bayesian inference in the scaling analysis of critical phenomena |
著者: | Harada, Kenji https://orcid.org/0000-0003-0231-7880 (unconfirmed) |
著者名の別形: | 原田, 健自 |
発行日: | 18-Nov-2011 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 84 |
号: | 5 |
論文番号: | 056704 |
抄録: | To determine the universality class of critical phenomena, we propose a method of statistical inference in the scaling analysis of critical phenomena. The method is based on Bayesian statistics, most specifically, the Gaussian process regression. It assumes only the smoothness of a scaling function, and it does not need a form. We demonstrate this method for the finite-size scaling analysis of the Ising models on square and triangular lattices. Near the critical point, the method is comparable in accuracy to the least-square method. In addition, it works well for data to which we cannot apply the least-square method with a polynomial of low degree. By comparing the data on triangular lattices with the scaling function inferred from the data on square lattices, we confirm the universality of the finite-size scaling function of the two-dimensional Ising model. |
著作権等: | ©2011 American Physical Society |
URI: | http://hdl.handle.net/2433/200794 |
DOI(出版社版): | 10.1103/PhysRevE.84.056704 |
PubMed ID: | 22181544 |
出現コレクション: | 学術雑誌掲載論文等 |
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