Bounds on the micromagnetic energy of a uniaxial ferromagnet

Rustum Choksi; Robert V. Kohn

doi:10.1002/(SICI)1097-0312(199803)51:3<259::AID-CPA3>3.0.CO;2-9

Bounds on the micromagnetic energy of a uniaxial ferromagnet

Rustum Choksi, Robert V. Kohn

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.

Original language	English (US)
Pages (from-to)	259-289
Number of pages	31
Journal	Communications on Pure and Applied Mathematics
Volume	51
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1097-0312(199803)51:3<259::AID-CPA3>3.0.CO;2-9
State	Published - Mar 1998

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/(SICI)1097-0312(199803)51:3<259::AID-CPA3>3.0.CO;2-9

Cite this

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title = "Bounds on the micromagnetic energy of a uniaxial ferromagnet",

abstract = "We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.",

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Bounds on the micromagnetic energy of a uniaxial ferromagnet

Abstract

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