Analytical results on the magnetization of the Hamiltonian Mean Field model
Chaotic Dynamics
2009-10-29 v1
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 -body simulations. The method we use enables us to re-interpret the out-of-equilibrium phase transition separating magnetized and (almost) unmagnetized regimes.
Keywords
Cite
@article{arxiv.0903.3641,
title = {Analytical results on the magnetization of the Hamiltonian Mean Field model},
author = {Romain Bachelard and Cristel Chandre and Antonia Ciani and Duccio Fanelli and Yoshiyuki Yamaguchi},
journal= {arXiv preprint arXiv:0903.3641},
year = {2009}
}