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

Analytical results on the magnetization of the Hamiltonian Mean-Field model / R. Bachelard; C. Chandre; A. Ciani; D. Fanelli; Y. Yamaguchi. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - ELETTRONICO. - 373(2009), pp. 4239-4245.

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

FANELLI, DUCCIO;
2009

Abstract

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
373
4239
4245
R. Bachelard; C. Chandre; A. Ciani; D. Fanelli; Y. Yamaguchi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/385635
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