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Random-field Ising models of hysteresis. (English) Zbl 1148.82018
Bertotti, Giorgio (ed.) et al., The science of hysteresis. Vol. II. Physical modeling, micromagnetics, and magnetization dynamics. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-369432-4/hbk; 978-0-12-480874-4/set). 107-179 (2006).
The goal of this chapter is to explain the connection between Barkhausen noise, switching multi-particle systems with nonlocal interactions, and avalanches of jumps in the state space. These features are common in many different areas of physics. The Ising switching spin model serves as a prototype for this behavior. The authors give a survey of results on renormalization and scaling, critical exponents, and relation of the theory to empirical hysteresis models.
For the entire collection see [Zbl 1117.34046].

82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
82C44 Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics
82D40 Statistical mechanical studies of magnetic materials
82C27 Dynamic critical phenomena in statistical mechanics
82C28 Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics