Topological aspects of a long-range model

Celia Anteneodo and Francisco A. Tamarit

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 1, 135-138

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.

Keywords: Long-range interactions; Quasi-stationary states (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:1:p:135-138

DOI: 10.1016/j.physa.2006.04.076

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