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Representability of the domain wall motion in random potentials by the Preisach model
Institution:1. College of Advanced Agricultural Sciences, Zhejiang A&F University, Hangzhou 311300, China;2. Institute of Microbiology, College of Life Sciences, Zhejiang University, Hangzhou 310058, China;1. Dipartimento di Farmacia e Biotecnologie (FaBiT) – Alma Mater Studiorum - Università di Bologna, Via Francesco Selmi 3, 40126 Bologna, Italy;2. Dipartimento di Chimica “Giacomo Ciamician” – Alma Mater Studiorum - Università di Bologna, Via Francesco Selmi 2, 40126 Bologna, Italy;3. Nanobiointeractions and Nanodiagnostics Laboratory, Istituto Italiano di Tecnologia (IIT), Via Morego 30, 16163 Genova, Italy;4. Infectious Diseases Unit, IRCCS Azienda Ospedaliero-Universitaria di Bologna, Italy;5. CIRI SDV – Centro Interdipartimentale Scienze della Vita - Alma Mater Studiorum - Università di Bologna, Via Tolara di Sopra, 41/E - 40064 Ozzano dell''Emilia (BO), Italy;6. CNR Institute of Molecular Genetics \"Luigi Luca Cavalli-Sforza\" Unit of Bologna, Italy;7. IRCCS Istituto Ortopedico Rizzoli, Bologna, Italy;1. School of Mathematical and Geospatial Sciences, RMIT University, GPO Box 2476, Melbourne, Victoria 3001, Australia;2. Advanced Informatics School, Level 5, Menara Razak, Universiti Teknologi Malaysia, Jalan Semarak, 54100 Kuala Lumpur, Malaysia
Abstract:The question of representability of quasi-static domain wall motion in random potentials by the Preisach model (PM) of hysteresis is studied. It is shown analytically and illustrated by a numerical experiment, that domain wall motion in a pinning field whose first spatial derivative is a stationary random process is exactly representable by the PM.
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