Eur. Phys. J. Special Topics 143, 9-12 (2007)
https://doi.org/10.1140/epjst/e2007-00064-4

Relaxation dynamics and topology in the Hamiltonian Mean Field model

Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina

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 [1]. In particular, we study the way topology alters the distribution of momenta along the trajectories as well asthe long-time behavior of the system.