A method for processing substances electromagnetically in a container having two opposed generally parallel sides using working pieces responsive to a magnetic field for crushing, mixing and stirring substances contained in said container comprising causing said working pieces to generate a violent random motion due to electromagnetic force using two shifting magnetic field generators producing magnetic fields which shift in opposite directions and act on the work pieces from opposite sides of the container, the magnetic fields having a first intensity level slightly greater than the minimum magnetic field intensity required to generate random motion of said working pieces in said shifting magnetic field, and providing periodic changes in the magnetic field intensity level from said first magnetic field intensity level to substantially zero intensity for said shifting magnetic field in a cyclic manner, to thereby substantially maintain random motion of said working pieces.