2009年11月
Analytical results on the magnetization of the Hamiltonian Mean-Field model
PHYSICS LETTERS A
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- ,
- ,
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- 巻
- 373
- 号
- 46
- 開始ページ
- 4239
- 終了ページ
- 4245
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physleta.2009.09.037
- 出版者・発行元
- ELSEVIER SCIENCE BV
The violent relaxation and the metastable states of the Hamiltonian Mean-Field model, a paradigmatic system of long-range interactions, is studied using a Hamiltonian formalism. Rigorous results are derived algebraically for the time evolution of selected macroscopic observables, e.g., the global magnetization. The high- and low-energy limits are investigated and the analytical predictions are compared with direct N-body simulations. The method we use enables us to re-interpret the out-of-equilibrium phase transition separating magnetized and (almost) unmagnetized regimes. (C) 2009 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.physleta.2009.09.037
- ISSN : 0375-9601
- Web of Science ID : WOS:000271552900007