A magnetic analog of quincke rotation

The possibility of observing a magnetic analogue of the Quincke rotation is discussed, i.e., spontaneous rotation in a constant uniform magnetic field $\mathbf{B}$ of a spherical particle. Two variants of the experiment are considered: 1) a weakly magnetic particle immersed in a ferromagnetic liquid and 2) a diamagnetic sphere levitating in a vacuum. In the first case, spontaneous rotation is possible in fields $B<$ 0.1 T for relaxation times of the magnetization of a particle of the order of 10$^{-3}$ s. The fundamental condition for the accelerated rotation of the diamagnetic sphere is the limitation of its rotational degree of freedom with the only possible direction for the axis of rotation orthogonal to the vector $\mathbf{B}$.