Process for heating a substrate, which contains, relative to the total weight of the substrate, 0.1 to 70 wt. % of metallic, magnetic, ferrimagnetic, ferromagnetic, antiferromagnetic or superparamagnetic particles having an average particle size of between 1 and 5000 nm, wherein the substrate is exposed to electromagnetic radiation, characterized in that the electromagnetic radiation comprises microwave radiation with a frequency in the range from 1 to 300 GHz and the substrate is simultaneously exposed to a direct-current magnetic field, the field strength of which is at least twice the strength of the earth's magnetic field; use of the process for producing or detaching adhesive bonds; device for the simultaneous production of microwave radiation with a frequency within the range from 1 to 300 GHz and a direct-current magnetic field, the field strength of which is at least twice the strength of the earth's magnetic field.