Boltz Horst-Holger, Klumpp Stefan
Institute for Nonlinear Dynamics, University of Göttingen, 37077, Göttingen, Germany.
Eur Phys J E Soft Matter. 2017 Oct;40(10):86. doi: 10.1140/epje/i2017-11576-6. Epub 2017 Oct 11.
We study the buckling of an idealized, semiflexible filament along whose contour magnetic moments are placed. We give analytic expressions for the critical stiffness of the filament below which it buckles due to the magnetic compression. For this, we consider various scenarios of the attachment of the magnetic particles to the filament. One possible application for this model are the magnetosome chains of magnetotactic bacteria. An estimate of the critical bending stiffness indicates that buckling may occur within the range of biologically relevant parameters and suggests a role for the bending stiffness of the filament to stabilize the filament against buckling, which would compromise the functional relevance of the bending stiffness of the used filament.
我们研究了沿其轮廓放置有磁矩的理想化半柔性细丝的屈曲问题。我们给出了细丝临界刚度的解析表达式，低于该临界刚度时，细丝会因磁压缩而发生屈曲。为此，我们考虑了磁性颗粒附着在细丝上的各种情形。该模型的一个可能应用是趋磁细菌的磁小体链。对临界弯曲刚度的估计表明，屈曲可能发生在生物学相关参数范围内，这表明细丝的弯曲刚度对于稳定细丝以防止屈曲具有一定作用，否则会损害所用细丝弯曲刚度的功能相关性。
