Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness

M. Morini; V. Slastikov

doi:10.1007/s00332-017-9416-z

Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness

M. Morini
, V. Slastikov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

4 Citations (Scopus)

309 Downloads (Pure)

Abstract

We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and (Formula presented.)-convergence, we derive a two-dimensional local reduced model. Investigation of this model provides an insight into the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.

Original language	English
Pages (from-to)	1-30
Number of pages	30
Journal	Journal of Nonlinear Science
Early online date	11 Oct 2017
DOIs	https://doi.org/10.1007/s00332-017-9416-z
Publication status	E-pub ahead of print - 11 Oct 2017

Keywords

$$\Gamma $$Γ-convergence
Dimension reduction
Homogenization
Micromagnetics

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Mathematical analysis of domain wall motion in nanowires.
Robbins, J. M. (Principal Investigator)
16/09/13 → 15/03/17
Project: Research

Dr Valeriy Slastikov
- Valeriy.Slastikovbristol.acuk
- Probability, Analysis and Dynamics
- School of Mathematics - Senior Lecturer in Applied Mathematics
- Fluids and materials
- Applied Mathematics
Person: Academic , Member

Cite this

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title = "Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness",

abstract = "We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and (Formula presented.)-convergence, we derive a two-dimensional local reduced model. Investigation of this model provides an insight into the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.",

keywords = "\$\$\textbackslash{}Gamma \$\$Γ-convergence, Dimension reduction, Homogenization, Micromagnetics",

author = "M. Morini and V. Slastikov",

year = "2017",

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doi = "10.1007/s00332-017-9416-z",

language = "English",

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journal = "Journal of Nonlinear Science",

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AU - Morini, M.

AU - Slastikov, V.

PY - 2017/10/11

Y1 - 2017/10/11

N2 - We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and (Formula presented.)-convergence, we derive a two-dimensional local reduced model. Investigation of this model provides an insight into the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.

AB - We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and (Formula presented.)-convergence, we derive a two-dimensional local reduced model. Investigation of this model provides an insight into the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.

KW - $$\Gamma $$Γ-convergence

KW - Dimension reduction

KW - Homogenization

KW - Micromagnetics

U2 - 10.1007/s00332-017-9416-z

DO - 10.1007/s00332-017-9416-z

M3 - Article (Academic Journal)

C2 - 29527100

AN - SCOPUS:85031113685

SN - 0938-8974

SP - 1

EP - 30

JO - Journal of Nonlinear Science

JF - Journal of Nonlinear Science

ER -

Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness

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Keywords

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Mathematical analysis of domain wall motion in nanowires.

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Dr Valeriy Slastikov

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