Electron-fluid model for DC size effect in metallic films
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In this work, the conduction electrons in metallic film are treated as an electron-fluid. The effects of applied electric and magnetic fields are studied by using Navier-Stokes and Maxwell equations. Ohm's Law is generalized for the stationary case . Geometry- dependent effective conductivities are derived for circular cylinders and plates. The results are compared with size effect experiments [2,3,4] and quantum mechanical calculations .