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

TL;DR

This study examines how surface roughness affects the parametric amplification gain in nanoresonators under thermomechanical and environmental noise, highlighting the role of roughness parameters and quality factors.

Contribution

It provides a detailed analysis of surface roughness effects on nanoresonator gain, emphasizing the impact of roughness parameters and quality factors on amplification performance.

Findings

Gain increases with roughening due to enhanced capacitive coupling.

Surface roughness influence diminishes when intrinsic quality factor exceeds gas-related quality factor.

Capacitive coupling dominates gain behavior in certain noise regimes.

Abstract

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