The three dimensional structure of the wake potential due to ion cyclotron waves in a dusty magnetized plasma with streaming ions is reviwed. We focused our attention to the situation when the test dust particulate is stationary, because it corresponds to the real laboratory experiment on plasma crystal. The role of the external magnetic field on the periodic attractive forces is clarified. Here, we consider the externally applied uniform magnetic field parallel to the sheath plane in Case A, and perpendicular to the sheath plane in Case B, separately. In Case A, the analysis includes the
E ×
B drift effect in addition to the ions flow with a constant velocity
ui0 perpendicular to the magnetic field. In case B, the ions flow with a constant velocity
ui0 is parallel to the magnetic field.
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