The concertina pattern From micromagnetics to domain theory

作者：Otto Felix^*; Steiner Jutta

来源：Calculus of Variations and Partial Differential Equations, 2010, 39(1-2): 139-181.

DOI：10.1007/s00526-009-0305-7

This is a continuation of a series of papers on the concertina pattern. The concertina pattern is a ubiquitous metastable, nearly periodic magnetization pattern in elongated thin film elements. In previous papers, a reduced variational model for this pattern was rigorously derived from 3-d micromagnetics. Numerical simulations of the reduced model reproduce the concertina pattern and show that its optimal period (w) over cap (opt) is an increasing function of the applied external field (h) over cap (ext). The latter is an explanation of the experimentally observed coarsening. Domain theory, which can be heuristically derived from the reduced model, predicts and quantifies this dependence of (w) over cap (opt) on (h) over cap (ext). In this paper, we rigorously extract these heuristic observations of domain theory directly from the reduced model. The main ingredient of the analysis is a new type of estimate on solutions of a perturbed Burgers equation.

• 出版日期2010-9