论文标题
评论“填充的六角磁偶极子簇之间的滞后过渡”
Comment on "Hysteretic transition between states of a filled hexagonal magnetic dipole cluster"
论文作者
论文摘要
在论文中“安德鲁·D·史密斯（Andrew D.P.六角形布置中中心偶极子的相对强度用作分叉参数。作者清楚地证明了存在两种不稳定性，并伴随着偶极装置的不连续跳跃，但就这些不稳定性的性质留下了问题。该评论阐明了这两个不稳定性的性质：第一个是一种对称性的亚临界分叉，在两个分支之间的磁性势能差的抛物线尺度上，第二个分支是折叠，其特征性缩放为半贵宾抛物线的形式。
In the paper "Andrew D.P. Smith, Peter T. Haugen, Boyd F. Edwards: Hysteretic transition between states of a filled hexagonal magnetic dipole cluster, Journal of Magnetism and Magnetic Materials 549 (2022): 168991" a hysteretic transition between two stable arrangements of a cluster of seven dipoles is presented. The relative strength of the center dipole in a hexagonal arrangement serves as the bifurcation parameter. The authors clearly demonstrate the existence of two instabilities accompanied by discontinuous jumps of the dipole arrangement, but leave the question about the nature of these instabilities unanswered. This comment clarifies the nature of the two instabilities: the first one is a symmetry-breaking sub-critical bifurcation with parabolic scaling of the magnetic potential energy difference between the two branches, and the second one is a fold with its characteristic scaling in the form of a semi-cubic parabola.
