Quasistationary trajectories of the mean-field XY Halmitonian model : a topological perspective
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2005Tipo
Abstract
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 ...
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. ...
Contido em
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 71, no. 3 (Mar. 2005), 036148, 5 p.
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Estrangeiro
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Artigos de Periódicos (39351)Ciências Exatas e da Terra (5974)
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