Hysteretic transition between states of a filled hexagonal magnetic dipole cluster
Hysteretic transition between states of a filled hexagonal magnetic dipole cluster
复制标题
填充六边形磁偶极子簇状态之间的磁滞转变
DOI：
10.1016/j.jmmm.2021.168991
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发表时间：
2022
影响因子：
2.7
通讯作者：
Edwards, Boyd F.
中科院分区：
文献类型：
--
作者：
Smith, Andrew D.P.;Haugen, Peter T.;Edwards, Boyd F.
通过最小化的静磁势能，并通过寻找零的扭矩的平方和，我们发现在正六边形的顶点和一个可变强度的偶极子在中心的平衡状态的六个偶极子的强度相同。七个偶极子绕着垂直于六边形平面的固定轴自由旋转，它们的偶极矩平行于平面。当中心偶极子与周边偶极子相比较弱时，“圆形”状态适用，其中周边偶极矩围绕中心偶极子旋转，中心偶极子指向周边偶极子。当中心偶极子较强时，应用更对称的“偶极”状态，其中周边偶极矩与中心偶极子的场近似对准。在偶极强度由两个临界值界定的中间范围内，两个状态都是局部稳定的，系统的状态取决于它的历史。在小型球形钕磁铁的实验中，铁屑被用来观察这两种状态。理论上几乎不稳定的“错位”状态也在实验中观察到;这种状态类似于圆形状态，除了中心偶极矩指向两个周边磁铁之间的接触点。
By minimizing the magnetostatic potential energy and by finding zeros in the sum of the squares of the torques, we find the equilibrium states of six dipoles of identical strength at the vertices of a regular hexagon and a variable-strength dipole at the center. The seven dipoles spin freely about fixed axes that are perpendicular to the plane of the hexagon, with their dipole moments directed parallel to the plane. When the central dipole is weak compared with the perimeter dipoles, a “circular” state applies in which the perimeter dipole moments circle around the central dipole, which points toward a perimeter dipole. When the central dipole is strong, a more symmetric “dipolar” state applies in which the perimeter dipole moments align approximately with the field of the central dipole. Over an intermediate range of dipole strengths bounded by two critical values, both states are locally stable and the state of the system depends upon its history. Iron filings are used to observe both states in experiments on small spherical neodymium magnets. A “misaligned” state that is barely unstable theoretically is also observed experimentally; this state resembles the circular state except that the central dipole moment points toward a point of contact between two perimeter magnets.
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影响因子：
8.6
作者：
Weis;Lévesque
通讯作者：
Weis;Lévesque
磁环的稳定性
影响因子：
3.6
作者：
T. Hoang;David Vazquez Cortes
通讯作者：
David Vazquez Cortes
影响因子：
0.7
作者：
Edwards, Boyd F.;Edwards, John M.
通讯作者：
Edwards, John M.
影响因子：
2.9
作者：
Boyd F. Edwards;B. Johnson;J. Edwards
通讯作者：
J. Edwards
影响因子：
1.9
作者：
Hall C
通讯作者：
Hall C