2020
DOI: 10.1039/d0sm00403k
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3D motion of flexible ferromagnetic filaments under a rotating magnetic field

Abstract: Ferromagnetic filaments in a rotating magnetic field are studied both numerically and experimentally. The filaments are made from micron-sized ferromagnetic particles linked with DNA strands. It is found that at low frequencies of the rotating field a filament rotates synchronously with the field and beyond a critical frequency it undergoes a transition to a three dimensional regime. In this regime the tips of the filament rotate synchronously with the field on circular trajectories in the plane parallel to th… Show more

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Cited by 15 publications
(7 citation statements)
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“…These values were previously estimated in Ref. 25 . Moreover, we define here the anisotropy of the hydrodynamic drag coefficient as − 0.2 to account for the filament flexibility and length, where .…”
Section: Resultssupporting
confidence: 54%
“…These values were previously estimated in Ref. 25 . Moreover, we define here the anisotropy of the hydrodynamic drag coefficient as − 0.2 to account for the filament flexibility and length, where .…”
Section: Resultssupporting
confidence: 54%
“…Deviations from ideal conditions in the properties or the initial setup of microparticle filaments have been suggested as the origin of several of their dynamic structural properties. 49,65 However, to our best knowledge, the particular behavior observed here was not reported in studies existing to date, as it emerges from a range of flexibilities that was not yet explored.…”
Section: Resultsmentioning
confidence: 67%
“…This transition from synchronous to asynchronous motion has been observed for paramagnetic, diamagnetic, and paramagnetic anisometric particles. [28][29][30] This results in particles aligning biaxially in the plane of rotation of the magnet. 24 The critical frequency o c of the magnetic field rotation depends on the anisotropy in magnetic susceptibility Dw = w 8 À w > of the particles, with w 8 the susceptibility along the diameter and w > along the thickness, the viscosity Z of the surrounding liquid, the magnetic field strength B 0 , and the Perrin friction factor f f 0 : 30…”
Section: Introductionmentioning
confidence: 99%