Nondipole interaction between two uniformly magnetized spheres and its relation to superconducting levitation

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-11-12 DOI:10.1016/j.aop.2024.169839
Denis Nikolaevich Sob’yanin (Денис Николаевич Собьянин)
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Abstract

Analytically solving the magnetostatic Maxwell equations in the bispherical coordinates, we calculate the magnetic field around two uniformly magnetized spheres oriented so that their magnetic moments are parallel to the axis passing through the centers of the spheres. We demonstrate that, contrary to what is often claimed in the literature, the magnetic interaction between such spheres is not equivalent to the interaction between two point magnetic dipoles placed in the centers of the spheres. The nonzero levitation force acting on a uniformly magnetized sphere or a point magnetic dipole above a superconducting sphere in the ideal Meissner state is a clear manifestation of the non-equivalence.
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两个均匀磁化球体之间的非偶极子相互作用及其与超导悬浮的关系
通过分析求解双球坐标中的磁静力麦克斯韦方程,我们计算了两个均匀磁化球体周围的磁场,这两个球体的磁矩平行于穿过球体中心的轴线。我们证明,与文献中通常的说法相反,这种球体之间的磁相互作用并不等同于放置在球体中心的两个点磁偶极子之间的相互作用。在理想迈斯纳状态下,作用在均匀磁化球体或超导球体上方的点磁偶极子上的非零悬浮力就是这种不等效性的明显体现。
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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