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We investigate the surface roughness influence on the gain from parametricamplification in nanoresonators in presence of thermomechanical and momentumexchange noise. The roughness is characterized by the rms amplitude w, thecorrelation length X, and the roughness exponent 0<H<1. It is found that thegain strongly increases with increasing roughening (decreasing H and/orincreasing ratio w/ X) due to increment of capacitive coupling, which playsdominant role when the intrinsic quality factor Qin is comparable or lower thanthe quality factor Qgas due to gas collisions. However, for Qin>>Qgas, theinfluence of surface roughness on the gain strongly diminishes.

Surface roughness influence on parametric amplification of nanoresonators in presence of thermomechanical and environmental noise