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Wave induced attraction of matter is a unique aspect of ponderomotive forcingby electromagnetic (e/m) waves in plasmas. The Miller force, sometimes denotedthe gradient force, is of particular interest, because the direction as well asmagnitude of the Miller force on a plasma depends on the wave frequency. Whileplasma is usually considered in its gaseous form, solid bodies can also betreated as plasma, denoted solid-state plasma. The first experimental proof ofwave effects in magnetized solid-state plasmas (Lundqvist, 1949, Herlofson,1950) came after the suggestion by Alfv\'en (1942) on the possible existence ofmagneto-hydrodynamic (MHD) waves. However, most of our knowledge basis onMHD/Alfv\'en waves have since then emerged from space- and laboratory (gaseous)plasmas. It is therefore timely to investigate further the applicability of e/mwave ponderomotive forcing on solid-state plasma. In this report we discuss theapplicability of the ponderomotive Miller force on solid-state plasmas. At thisstage the treatise will be rather qualitative, based on theories developed forspace plasma. We assume that e/m wave energy and momentum is transferred in athin surface layer constituting solid-state plasma. A Miller force results fromthe wave pressure gradient set up in the surface layer. Since the solid bodyconstitute a coupled system (lattice), the Miller force will act on all atomsin the body, the total force limited by the wave input power. A quantitativecomparison with experimental results obtained from a Cavendish vacuumexperiment (Lidgren and Lundin, 2010) gives a surprisingly good agreementbetween theory and experiments. As further proof for e/m wave attraction ofmatter, we show a simulation, taking into account the measured pendulumoffsets.

On the Attraction of Matter by the Ponderomotive Miller Force