A Semigroup Theory of Rate Independent Hysteresis

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dc.creatorXing, Xiangjun
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:40Z
dc.date.available2026-07-07T08:19:40Z
dc.descriptionWe explore a macroscopic, algebraic approach to rate independent hysteresis using semigroup theory. A macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history. The semigroup structure of the history space is identified. Using semigroup theory and related mathematical techniques, the general relation between return point memory (RPM) and partial order is discovered. For hysteresis system with RPM, a variational principle is identified. The erasing properties of field histories are also characterized. The connection between this semigroup approach and other models are also discussed.
dc.description4 pages, 2 eps figures, submitted to physical review letters
dc.identifierhttps://arxiv.org/abs/0707.3302
dc.identifierhttp://arxiv.org/abs/0707.3302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134839
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleA Semigroup Theory of Rate Independent Hysteresis
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