2011年12月
Precise determination of the nonequilibrium tricritical point based on Lynden-Bell theory in the Hamiltonian mean-field model
PHYSICAL REVIEW E
- ,
- 巻
- 84
- 号
- 6
- 開始ページ
- 061140
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevE.84.061140
- 出版者・発行元
- AMER PHYSICAL SOC
Existence of a nonequilibrium tricritical point has been revealed in the Hamiltonian mean-field model by a nonequilibrium statistical mechanics. This statistical mechanics gives a distribution function containing unknown parameters, and the parameters are determined by solving simultaneous equations depending on a given initial state. Due to difficulty in solving these equations, pointwise numerical detection of the tricritical point has been unavoidable on a plane characterizing a family of initial states. In order to look into the tricritical point, we expand the simultaneous equations with respect to the order parameter and reduce them to one algebraic equation. The tricritical point is precisely identified by analyzing coefficients of the reduced equation. Reentrance to an ordered phase in a high-energy region is revisited around the obtained tricritical point.
- リンク情報
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- DOI
- https://doi.org/10.1103/PhysRevE.84.061140
- CiNii Articles
- http://ci.nii.ac.jp/naid/120003779177
- PubMed
- https://www.ncbi.nlm.nih.gov/pubmed/22304073
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000298669900003&DestApp=WOS_CPL
- ID情報
-
- DOI : 10.1103/PhysRevE.84.061140
- ISSN : 2470-0045
- eISSN : 2470-0053
- CiNii Articles ID : 120003779177
- PubMed ID : 22304073
- Web of Science ID : WOS:000298669900003