BALLISTIC TRANSPORT IN NARROW CHANNELS AND FILMS

We present a simple description of ballistic transport in systems with random rough walls. All characteristic parameters, including the mean free path and localization length, are expressed explicitly via the c orrelation function (correlation length R and amplitude e) of surface inhomogeneities. Scattering by surfaces inhomogeneities in channels wi th width L creates a new mesoscopic transport length of the order of ( L(2)R/e(2)) f (R/lambda). The function f has a minimum when the partic le wavelength lambda similar to R. The transport problem includes poss ible quantization of motion across the channel. The calculations are p erformed with the help of canonical coordinate transformation which re duces a transport problem with rough random walls to an exactly equiva lent problem with ideal flat walls, but with random bulk distortion. A pplications include transport in thin films, porous media, localizatio n and slip effects, etc.