Analytical results on the magnetization of the Hamiltonian Mean-Field model

被引：6

作者：

Bachelard, R. ^{[1
]}

Chandre, C. ^{[2
]}

Ciani, A. ^{[3
,4
]}

Fanelli, D. ^{[3
,4
]}

Yamaguchi, Y. Y. ^{[5
]}

机构：

[1] Synchrotron Soleil, LOrme Merisiers, F-91192 Gif Sur Yvette, France

[2] Aix Marseille Univ, CNRS, Ctr Phys Theor, F-13288 Marseille 09, France

[3] Univ Florence, Dipartimento Energet Sergio Stecco, I-50139 Florence, Italy

[4] Ist Nazl Fis Nucl, Milan, Italy

[5] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 46期

关键词：

Vlasov equation; Hamiltonian systems; Out-of-equilibrium phase transition;

D O I：

10.1016/j.physleta.2009.09.037

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：4239 / 4245

页数：7

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