The structure of state transition graphs in hysteresis models with return point memory: I. General Theory

• Published in: arXiv.org
• Main Authors: Mungan, Muhittin, M Mert Terzi
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.05.2019
• Subjects: Computer memory; Graphs; Hysteresis loops; Mathematics - Mathematical Physics; Physics - Disordered Systems and Neural Networks; Physics - Mathematical Physics; Physics - Soft Condensed Matter; Physics - Statistical Mechanics; Topology

We consider the athermal quasi-static dynamics (AQS) of disordered systems driven by a slowly varying external field. Our interest is in an automaton description (AQS-A) that represents the AQS dynamics in terms of the graph of state transitions triggered by the driving field. A particular feature o...