Catastrophe Model for Micromagnetics
- 14 December 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 59 (24) , 2798-2801
- https://doi.org/10.1103/physrevlett.59.2798
Abstract
It is shown that transition at the Curie point and uniaxial crystalline anisotropy exhibit catastrophes which have the same morphology as well-known elementary catastrophes like the cusp and the swallowtail. It is possible to understand micromagnetics as conflict between attractors of dynamical systems. Catastrophe theory allows great geometrical insight into the mathematical background of micromagnetics. It appears as a geometrical study of metastability that can have general significance.Keywords
This publication has 3 references indexed in Scilit:
- An investigation of dual eigenvalue systems using trigonometric polynomials and differential geometryInternational Journal of Non-Linear Mechanics, 1987
- Effect of particle orientation on high density recordingIEEE Transactions on Magnetics, 1982
- An Introduction to Catastrophe TheoryPublished by Cambridge University Press (CUP) ,1980