Table 1.

Reported critical frequencies of magnetically actuated asynchronously rotating systems in the literature. We designate ${⟨\dot{\theta }⟩}_{\max }$ as the approximate maximal rotational frequency of the driven system.

${⟨\dot{\theta }⟩}_{\max }$ (Hz)	Driven system	Author
159	Elongated magnetic particles	Tiernoa
145	Magnetic half coated beads	Current letter
29	Two bound magnetic particles	Ranzonib
12	Magnetic microparticles	Janssenc
10	Magnetic carbon nanotubes	Kornevad
6.3	Magnetic hole systems	Helgesene
2.4	Ferromagnetic beads	McNaughtonf
1.08	Barium ferrite particles	McNaughtong
0.95	Magnetic microspheres	McNaughtonh
0.2	Ferromagnetic beads	McNaughtoni

^aReference ²⁴.

^bReference ¹⁹.

^cReference ¹⁶.

^dReference ²⁰.

^eReference ²¹.

^fReference ⁷.

^gReference ¹⁵.

^hReference ¹⁷.

ⁱReference ¹⁸.