ダウンロード数: 263
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
PhysRevE.84.056704.pdf | 494.37 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
DCフィールド | 値 | 言語 |
---|---|---|
dc.contributor.author | Harada, Kenji | en |
dc.contributor.alternative | 原田, 健自 | ja |
dc.date.accessioned | 2015-10-28T05:45:06Z | - |
dc.date.available | 2015-10-28T05:45:06Z | - |
dc.date.issued | 2011-11-18 | - |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://hdl.handle.net/2433/200794 | - |
dc.description.abstract | 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. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Physical Society (APS) | en |
dc.rights | ©2011 American Physical Society | en |
dc.title | Bayesian inference in the scaling analysis of critical phenomena | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA11558033 | - |
dc.identifier.jtitle | Physical Review E | en |
dc.identifier.volume | 84 | - |
dc.identifier.issue | 5 | - |
dc.relation.doi | 10.1103/PhysRevE.84.056704 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 056704 | - |
dc.identifier.pmid | 22181544 | - |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 2470-0045 | - |
dc.identifier.eissn | 2470-0053 | - |
出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。