Micron-scale
colloidal particles suspended in electrolyte solutions
have been shown to exhibit a distinct bifurcation in their average
height above the electrode in response to oscillatory electric fields.
Recent work by Hashemi Amrei et al. (Phys. Rev. Lett.,
2018,
121, 185504) revealed that a
steady, long-range asymmetric rectified electric field (AREF) is formed
when an oscillatory potential is applied to an electrolyte with unequal
ionic mobilities. In this work, we use confocal microscopy to test
the hypothesis that a force balance between gravity and an AREF-induced
electrophoretic force is responsible for the particle height bifurcation
observed in some electrolytes. We demonstrate that at sufficiently
low frequencies, particles suspended in electrolytes with large ionic
mobility mismatches exhibit extreme levitation away from the electrode
surface (up to 50 particle diameters). This levitation height scales
approximately as the inverse square root of the frequency for both
NaOH and KOH solutions. Moreover, larger particles levitate smaller
distances, while the magnitude of the applied field has little effect
above a threshold voltage. A force balance between the AREF-induced
electrophoresis and gravity reveals saddle node bifurcations in the
levitation height with respect to the frequency, voltage, and particle
size, yielding stable fixed points above the electrode that accord
with the experimental observations. These results point toward a low-energy,
non-fouling method for concentrating colloids at specific locations
far from the electrodes.