Quasistationary trajectories of the mean-field XY Hamiltonian model: A topological perspective

FRANCISCO ANTONIO TAMARIT; GERMÁN MAGLIONE; DANIEL STARIOLO; CELIA ANTENEODO

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

american physical society

Año: 2005 vol. 71 p. 36148 - 36152

1063-651X

We employ a topological approach to investigate the nature of quasistationary states of the mean-field XY Hamiltonian model. We focus on the quasistationary states reached when the system is initially prepared in a fully magnetized configuration. By means of numerical simulations and analytical considerations, we show that, along the quasistationary trajectories, the system evolves in a manifold of critical points of the potential energy function. Although these critical points are maxima, the large number of directions with marginal stability may be responsible for the slow relaxation dynamics and the trapping of the system in  such trajectories.