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Rigorous Approach to the Theory of Ferromagnetic Microstructure

机译：铁磁微结构理论的严格方法

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摘要

Current ``domain'' theory relies heavily on Bloch walls and the Landau‐Lifshitz method of assembling them. A rigorous attack on the same problem leads to a nonlinear boundary‐value problem; with electronic computers available, this problem is now less formidable than when it was first formulated. Numerical calculations have been carried out for an infinite cylinder that reverses its magnetization by ``magnetization curling.'' The conditions under which this process occurs can be determined by means of a linear theory, similar to the theory of elastic stability, developed independently by the author and by Frei, Shtrikman, and Treves. To follow the process beyond its initial stages, a nonlinear differential equation must be integrated by numerical methods. The calculations show that the only stable states are ones of uniform positive or negative longitudinal magnetization; the transition between them occurs in a single jump, and only during the jump is the magnetization nonuniform. Thus a particle with no stable states other than ``single‐domain'' ones may be ``multidomain'' during transitions. The results suggest that stable nonuniform states will be found in a finite body, and even in an infinite cylinder if imperfections are present.
机译：当前的``领域''理论在很大程度上取决于Bloch墙和Landau-Lifshitz组装墙的方法。对相同问题的严格攻击会导致非线性边值问题。有了可用的电子计算机，现在这个问题已经比最初提出时更难了。对于通过“磁化卷曲”反转其磁化强度的无限圆柱体，已经进行了数值计算。可以通过线性理论（类似于弹性稳定性理论）来确定该过程的发生条件，该线性理论由作者以及Frei，Shtrikman和Treves。为了超越最初的阶段，必须通过数值方法对非线性微分方程进行积分。计算表明，唯一稳定的状态是均匀的正或负纵向磁化强度。它们之间的过渡发生在单个跳跃中，并且仅在跳跃期间磁化不均匀。因此，在过渡过程中，除了``单畴''状态之外没有其他稳定状态的粒子可能是``多畴''状态。结果表明，如果存在缺陷，则会在有限的实体中甚至在无限的圆柱体中找到稳定的非均匀状态。

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  • 来源
    《Journal of Applied Physics》 |1958年第3期|共2页
  • 作者

    Brown William Fuller;

  • 作者单位

    Central Research Department, Minnesota Mining and Manufacturing Company, St. Paul 6, Minnesota;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
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  • 正文语种 eng
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