Architectures and methods of operation for a pump for pumping two-phase magnetic fluids are described. The pump is capable of such pumping and may operate with no moving parts. Instead, the pump operates by selectively activating and deactivating each of a series of electrical circuits to control the presence or absence of magnetic fields applied to the two-phase magnetic fluid. The two-phase magnetic fluid may include liquid phase and gas phase, which may be in the form of bubbles. Though a presence of bubbles in a liquid may lead to cavitation and failure in some pumps, pumps for pumping two-phase magnetic fluids can avoid such a failure mechanism, in addition to avoiding another failure mechanism of wear and tear on moving parts.