手风琴纹样的形成与粗化
The Formation and Coarsening of the Concertina Pattern
摘要:
手风琴是一种磁化模式在细长的薄膜元件的软材料。它是在小元件的长轴方向上的磁化反转过程中出现的普遍存在的磁畴图案。Van den Berg认为,当外场减少时,这种模式从通量闭合域中生长出来。基于实验观察和理论,我们认为,在足够长的薄膜元件,手风琴图案,而从振荡屈曲模式分叉。使用一个简化的模型,通过渐近分析和数值模拟研究,我们定量预测的平均周期的手风琴图案和定性预测其滞后。特别是,我们认为,实验观察到的粗化的手风琴图案是由于二次分叉相关的埃克豪斯不稳定性。我们还链接的手风琴图案的磁化波纹,并讨论了弱(结晶或诱导)各向异性的影响。
英文摘要:
The concertina is a magnetization pattern in elongated thin-film elements of a soft material. It is a ubiquitous domain pattern that occurs in the process of magnetization reversal in direction of the long axis of the small element. Van den Berg argued that this pattern grows out of the flux closure domains as the external field is reduced. Based on experimental observations and theory, we argue that in sufficiently elongated thin-film elements, the concertina pattern rather bifurcates from an oscillatory buckling mode. Using a reduced model derived by asymptotic analysis and investigated by numerical simulation, we quantitatively predict the average period of the concertina pattern and qualitatively predict its hysteresis. In particular, we argue that the experimentally observed coarsening of the concertina pattern is due to secondary bifurcations related to an Eckhaus instability. We also link the concertina pattern to the magnetization ripple and discuss the effect of a weak (crystalline or induced) anisotropy.
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