Internal variables and fine-scale oscillations in micromagnetics

Richard D James, Stefan Müller

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We derive the field energy of micromagnetics by computing the limiting energy of a lattice of dipoles as a typical lattice parameter goes to zero. Different limiting energies are obtained, depending upon whether the dipoles do not oscillate (strong convergence), oscillate on a scale much larger than the scale of the lattice (weak-long) or oscillate on the scale of the lattice (weak-short). The analysis suggests a framework and some methods for the direct derivation of continuum theory from molecular theory.

Original languageEnglish (US)
Pages (from-to)291-336
Number of pages46
JournalContinuum Mechanics and Thermodynamics
Issue number4
StatePublished - Dec 1 1994


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