Article ID Journal Published Year Pages File Type
978506 Physica A: Statistical Mechanics and its Applications 2006 4 Pages PDF
Abstract

The mean field XY Hamiltonian, a suitable model for studying long-range interactions in extended systems, presents, amongst other interesting features, slow relaxation and formation of quasi-stationary (QS) states. It is now known that, along these QS trajectories, the system visits critical points (maxima) of the potential energy function, characterized by a large number of directions with marginal stability. This observation may provide an interpretation for the slow relaxation dynamics and the trapping in such trajectories. In this paper we present further results and discussion on topological aspects of the model.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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