WEKO3
アイテム
Fractional Brownian motion of worms in worm algorithms for frustrated Ising magnets
https://oist.repo.nii.ac.jp/records/2191
https://oist.repo.nii.ac.jp/records/2191255987ea-8e83-4861-97a9-ca32d8ae5a69
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Rakala-2021-Fractional Brownian motion of worm (2.1 MB)
|
|
| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2021-08-16 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Fractional Brownian motion of worms in worm algorithms for frustrated Ising magnets | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 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（英） |
Rakala, Geet
× Rakala, Geet
× Damle, Kedar
× Dhar, Deepak
|
|||||||||||
| 書誌情報 |
en : Physical Review E 巻 103, 号 6, p. 062101, 発行日 2021-06-01 |
|||||||||||
| 抄録 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | We study the distribution of lengths and other statistical properties of worms constructed by Monte Carlo worm algorithms in the power-law three-sublattice ordered phase of frustrated triangular and kagome lattice Ising antiferromagnets. Viewing each step of the worm construction as a position increment (step) of a random walker, we demonstrate that the persistence exponent θ and the dynamical exponent z of this random walk depend only on the universal power-law exponents of the underlying critical phase and not on the details of the worm algorithm or the microscopic Hamiltonian. Further, we argue that the detailed balance condition obeyed by such worm algorithms and the power-law correlations of the underlying equilibrium system together give rise to two related properties of this random walk: First, the steps of the walk are expected to be power-law correlated in time. Second, the position distribution of the walker relative to its starting point is given by the equilibrium position distribution of a particle in an attractive logarithmic central potential of strength ηm, where ηm is the universal power-law exponent of the equilibrium defect-antidefect correlation function of the underlying spin system. We derive a scaling relation, z=(2−ηm)/(1−θ), that allows us to express the dynamical exponent z(ηm) of this process in terms of its persistence exponent θ(ηm). Our measurements of z(ηm) and θ(ηm) are consistent with this relation over a range of values of the universal equilibrium exponent ηm and yield subdiffusive (z>2) values of z in the entire range. Thus, we demonstrate that the worms represent a discrete-time realization of a fractional Brownian motion characterized by these properties. | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | American Physical Society | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 2470-0045 | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 2470-0053 | |||||||||||
| PubMed番号 | ||||||||||||
| 関連タイプ | isIdenticalTo | |||||||||||
| 識別子タイプ | PMID | |||||||||||
| 関連識別子 | info:pmid/34271608 | |||||||||||
| DOI | ||||||||||||
| 関連タイプ | isIdenticalTo | |||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | info:doi/10.1103/PhysRevE.103.062101 | |||||||||||
| 権利 | ||||||||||||
| 権利情報 | © 2021 American Physical Society | |||||||||||
| 関連サイト | ||||||||||||
| 識別子タイプ | URI | |||||||||||
| 関連識別子 | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.062101 | |||||||||||
| 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 | |||||||||||
