Relaxation dynamics and topology in the Hamiltonian Mean Field model

CAROLINA TAURO, CÉSAR MAGLIONE, FRANCISCO TAMARIT

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS

EDP SCIENCES S A

Año: 2007 vol. 143 p. 9 - 12

1951-6355

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