The Structure of State Transition Graphs in Systems with Return Point Memory: I. General Theory

• Published in: Annales Henri Poincaré Vol. 20; no. 8; pp. 2819 - 2872
• Main Authors: Mungan, Muhittin, Terzi, M. Mert
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.08.2019; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Computer memory; Dynamical Systems and Ergodic Theory; Elementary Particles; Graphs; Hysteresis loops; Mathematical and Computational Physics; Mathematical Methods in Physics; Physics; Physics and Astronomy; Quantum Field Theory; Quantum Physics; Relativity Theory; Theoretical; Topology; Secondary 82C44; Primary 82D30

We consider the athermal quasi-static dynamics (AQS) of disordered systems driven by an external field. Our interest is in an automaton description (AQS-A) that represents the AQS dynamics via a graph of state transitions triggered by the field and in the presence of return-point-memory (RPM) proper...