A Semigroup Theory of Rate Independent Hysteresis

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We 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.
4 pages, 2 eps figures, submitted to physical review letters

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Disordered Systems and Neural Networks, Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/134839

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3302
 http://arxiv.org/abs/0707.3302

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arXiv