An exemplary thermally regulated component is an optical element or chuck for holding an optical element, or a stage for same, or combination thereof. The component has first and second heat-transfer zones. The first has a first component surface that receives a heating influence such as incident electromagnetic radiation. The second has a second component surface. A conduit circuit extends in the component serially through the first and second heat-transfer zones, back to the first heat-transfer zone, and contains an electrically conductive liquid (e.g., liquid metal). A vibration-free pump (e.g., MFD pump) coupled to the conduit circuit induces flow of the liquid through the circuit. A heat-exchanger is in thermal contact, but not actual contact, with the second component surface. Thus, heat delivered to the second heat-transfer zone by the liquid flowing in the conduit circuit flows from the second component surface to the heat-exchanger. The pump can be powered by a periodically remotely charged power source.