Exact Solution for a Stoner–Wohlfarth Particle in an Applied Field and a New Approximation for the Energy Barrier
Exact Solution for a Stoner–Wohlfarth Particle in an Applied Field and a New Approximation for the Energy Barrier
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应用领域中斯托纳-沃尔法斯粒子的精确解和能量势垒的新近似
DOI：
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发表时间：
2009
影响因子：
2.1
通讯作者：
R. Wood
中科院分区：
文献类型：
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作者：
R. Wood
本文重新审视了经典的问题，第一次提出和分析的斯通纳和沃尔法斯在其显着的文件，从1948年。虽然求解逆问题并确定产生给定磁化角所需的场是简单的，但找到由给定场产生的磁化角的直接问题更困难。本文提出了一个合理紧凑的解析解的直接问题。在一定的外加电场范围内，存在两个被能垒隔开的稳定解。能垒的高度可以从磁化强度的解精确计算。然而，作为一种替代方案，一个简单的近似的能量障碍是从已知的边界条件。这种近似比早期的Pfeiffer近似稍微精确一些。
This paper revisits the classical problem first laid out and analyzed by Stoner and Wohlfarth in their remarkable paper from 1948. While it is straightforward to solve the inverse problem and determine the field required to produce a given magnetization angle, the direct problem of finding the magnetization angle resulting from a given field is more difficult. This paper presents a reasonably compact analytic solution to the direct problem. Within a certain range of applied fields, there exist two stable solutions separated by an energy barrier. The height of the energy barrier can be computed exactly from the solutions for the magnetization. However, as an alternative, a simple approximation for the energy barrier is developed from the known boundary conditions. This approximation is slightly more accurate than the earlier Pfeiffer approximation.