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Relaxation dynamics and topology in the Hamiltonian Mean Field model

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Abstract.

In this work we analyze, for the Hamiltonian Mean Field model, the relationship between the existence of quasi-stationary long-standing trajectories and the topology of the potential energy, following the ideas recently introduced in the literature [CITE]. In particular, we study the way topology alters the distribution of momenta along the trajectories as well asthe long-time behavior of the system.

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Tauro, C., Maglione, G. & Tamarit, F. Relaxation dynamics and topology in the Hamiltonian Mean Field model. Eur. Phys. J. Spec. Top. 143, 9–12 (2007). https://doi.org/10.1140/epjst/e2007-00064-4

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