Statistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour

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dc.creatorEsposti, M. Degli
dc.creatorGiardina', C.
dc.creatorGraffi, S.
dc.creatorIsola, S.
dc.date2000-06-29
dc.date.accessioned2026-07-25T21:37:04Z
dc.descriptionWe consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy behaviour out of a deterministic interaction. It is shown that there can be a large number of metatastable (i.e., one-flip stable) states with very small overlap with the ground state but very close in energy to it, and that their total number increases exponentially with the size of the system.
dc.description25 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0006476
dc.identifierhttp://arxiv.org/abs/cond-mat/0006476
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/81224
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleStatistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour
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