Poisson noise induced switching in driven micromechanical resonators

TL;DR

This paper investigates how Poisson noise causes switching between vibrational states in driven micromechanical resonators, revealing unique scaling behaviors different from Gaussian noise effects.

Contribution

It demonstrates the distinct influence of Poisson noise on switching rates and scaling laws in nonlinear micromechanical systems, contrasting with Gaussian noise.

Findings

Logarithm of switching rate proportional to log of noise intensity

Switching rate varies as square root of distance to bifurcation point

Different scaling behavior from conventional Gaussian noise models

Abstract

We study Poisson-noise induced switching between coexisting vibrational states in driven nonlinear micromechanical resonators. In contrast to Gaussian noise induced switching, the measured logarithm of the switching rate is proportional not to the reciprocal noise intensity, but to its logarithm, for fixed pulse area. We also find that the switching rate logarithm varies as a square root of the distance to the bifurcation point, instead of the conventional scaling with exponent 3/2.