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1 Introduction Uptonow ,themathematicalmodelsthatdescribetheparticlebehavioratsolidifyinginterfaceappearedalot[1~ 1 1 ],butnoneofthemissuitedfortheparticlebe havioratinterfacewiththeapplicationofexternalforcefield(e.g .EMFF) .Andwiththedevelopingofelec tr