Micro-magnetic Modeling Overview

Principles

Definition

Micro-magnetic modeling is a computational methodology and research field dedicated to simulating and understanding the magnetic behavior of materials at the microscale. It involves the numerical solution of continuum or atomistic models describing magnetization dynamics and static configurations, typically employing methods like finite differences or finite elements implemented in specialized software packages. This approach investigates phenomena such as domain formation, domain wall motion, and magnetization reversal processes. Its significance lies in providing detailed insights into complex magnetic systems, guiding the design and optimization of magnetic materials and technological devices.

Ontological type

Core Equations

Technological Applications

Numerical Techniques

Key developments

Key Figures

Thin-Film Continuum Micromagnetics era

E.P. Wohlfarth [1], associated with the Weizmann Institute of Science [3] and University College London [4], was a leading figure in thin-film micromagnetics during this era. His 1958 work on remanent magnetization [7] clarified remanent states and seeded continuum approaches to domain and wall energetics central to this era. David J. Dunlop [2], with University of Toronto [5] and Sorbonne Université [6], contributed to the empirical and theoretical links essential for continuum micromagnetics. His 1969 paper An experimental evaluation of single-domain theories [9] tested and refined single-domain concepts; the 1973 paper Superparamagnetic and single-domain threshold sizes in magnetite [8] mapped size thresholds relevant to ultrafine structures, and the 1983 paper On the demagnetizing energy and demagnetizing factor of a multidomain ferromagnetic cube [10] advanced demagnetizing-energy formulations for multidomain geometries.

Discrete Computational Micromagnetics era

Y. Yoshizawa [1] was associated with a range of institutions during this era, including University of Cambridge [3] and National University of Singapore [4]. His work on New Fe-based soft magnetic alloys composed of ultrafine grain structure [5] advanced the understanding of nanoscale microstructure effects on magnetic behavior, providing essential input for discrete micromagnetic models of nanoscale switching and coercivity. A. O. Adeyeye [2] conducted research across University of Cambridge [3] and National University of Singapore [4] during this era. Her 1999 paper Single-Domain Circular Nanomagnets [6] highlighted design principles for nanoscale circular nanomagnets and informed discretized modeling of vortex states and switching in patterned elements.

Device Multiphysics Micromagnetics era

K. Ishida [1] is a researcher active in this era with affiliations at University of Maryland, College Park [3] and Xiamen University [4]. His key contributions include the Magnetic and martensitic transformations of NiMnX(X=In,Sn,Sb) ferromagnetic shape memory alloys [7], the Metamagnetic shape memory effect in a Heusler-type Ni43Co7Mn39Sn11 polycrystalline alloy [8], and the Effect of magnetic field on martensitic transition of Ni46Mn41In13 Heusler alloy [9], which provided crucial insights into magneto-structural coupling for device-scale micromagnetic applications in this era. Ryosuke Kainuma [2] is a researcher active in this era with affiliations at Johannes Gutenberg University Mainz [5] and Tohoku University [6]. His contributions are reinforced by the same papers [7], [8], [9], advancing the understanding of magnetic-field induced martensitic transitions in NiMnX Heusler alloys and informing magneto-structural coupling concepts essential for device-oriented multiphysics micromagnetics in this era.