G. Palasantzas, FREQUENCY-SHIFT OF A QUARTZ-CRYSTAL OSCILLATOR BOUNDED BY A SELF-AFFINE FRACTAL ROUGH-SURFACE IN CONTACT WITH A LIQUID, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 1682-1685
An investigation of the coupling of shear oscillations of a quartz cry
stal resonator bounded by a self-affine rough surface with dumped wave
s in a liquid is performed. Calculation of the roughness effect is ach
ieved in terms of a correlation model for self-affine fractal rough su
rfaces with analytic form of the associated roughness spectrum G(k) is
-proportional-to (1+ak2xi2)-1-H.