Reduced models for ferromagnetic nanowires

Valeriy V. Slastikov; Charles Sonnenberg

doi:10.1093/imamat/hxr019

Reduced models for ferromagnetic nanowires

Valeriy V. Slastikov, Charles Sonnenberg^*

^*Corresponding author for this work

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

55 Citations (Scopus)

Abstract

In this paper, we consider the micromagnetic variational problem for soft ferromagnetic nanowires. We show that, as the diameter of the wire is small, the magnetization inside the wire depends only on the length variable of the wire. The micromagnetic energy of the wire, in this case, is greatly simplified and in order to find the optimal magnetization distribution, one has to solve a 1D local variational problem.

Original language	English
Pages (from-to)	220-235
Number of pages	16
Journal	IMA Journal of Applied Mathematics
Volume	77
Issue number	2
DOIs	https://doi.org/10.1093/imamat/hxr019
Publication status	Published - Apr 2012

Keywords

micromagnetics
nanowire
Gamma-convergence
MICROMAGNETICS
ANISOTROPY
FILMS

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10.1093/imamat/hxr019

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title = "Reduced models for ferromagnetic nanowires",

abstract = "In this paper, we consider the micromagnetic variational problem for soft ferromagnetic nanowires. We show that, as the diameter of the wire is small, the magnetization inside the wire depends only on the length variable of the wire. The micromagnetic energy of the wire, in this case, is greatly simplified and in order to find the optimal magnetization distribution, one has to solve a 1D local variational problem.",

keywords = "micromagnetics, nanowire, Gamma-convergence, MICROMAGNETICS, ANISOTROPY, FILMS",

author = "Slastikov, {Valeriy V.} and Charles Sonnenberg",

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AU - Slastikov, Valeriy V.

AU - Sonnenberg, Charles

PY - 2012/4

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N2 - In this paper, we consider the micromagnetic variational problem for soft ferromagnetic nanowires. We show that, as the diameter of the wire is small, the magnetization inside the wire depends only on the length variable of the wire. The micromagnetic energy of the wire, in this case, is greatly simplified and in order to find the optimal magnetization distribution, one has to solve a 1D local variational problem.

AB - In this paper, we consider the micromagnetic variational problem for soft ferromagnetic nanowires. We show that, as the diameter of the wire is small, the magnetization inside the wire depends only on the length variable of the wire. The micromagnetic energy of the wire, in this case, is greatly simplified and in order to find the optimal magnetization distribution, one has to solve a 1D local variational problem.

KW - micromagnetics

KW - nanowire

KW - Gamma-convergence

KW - MICROMAGNETICS

KW - ANISOTROPY

KW - FILMS

U2 - 10.1093/imamat/hxr019

DO - 10.1093/imamat/hxr019

M3 - Article (Academic Journal)

SN - 0272-4960

VL - 77

SP - 220

EP - 235

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 2

ER -

Reduced models for ferromagnetic nanowires

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