Electron-Fluid Model for DC Size Effect in Metallic Films

Authors: Hamza POLAT, Mehmet TOMAK

Abstract: 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 [1]. 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 [5].