Figure 6

SPMB motion within a toron induced by a rotating magnetic field.
(a) Motional analysis of the SPMB “orbiting” the toron center reference frame. SPMB radius and angle vs. time (black and green lines respectively) as referenced to the toron center. The red line depicts the angle of the magnetic field with respect to Cartesian reference frame as it is rotated at 45 deg/s. Average orbital radius is 5.1 μm for clockwise (CW) orbit and 5.6 μm for a counterclockwise (CCW) orbit. The magenta dotted line represents the equilibrium position of the SPMB when not being magnetically manipulated. Periodic oscillations of this orbital radius are evident. The average angular velocity for CW1 is −57 deg/s, for CW2 45 deg/s and for CW3 is −53 deg/s. (b) Orbital polar angle vs. time indicating asymmetry in orbital angular velocity and period depending on the field rotation direction. Note period and slope differences between regions I, II and III and symmetry between regions I and III.