Effect of phase disturbance on logical vibrational resonance

Abstract

Logical vibrational resonance (LVR), which can be considered as a potential mechanism for designing new-style logic devices, attracts more and more attention. However, phase disturbance has not yet been considered in the related studies. However, tiny phase disturbance can be induced by some factors. Here stochastic phase disturbance is modeled by Wiener process. Through calculating successful probability and mean switching time, we demonstrate that (1) comparing with no phase disturbance or relatively large phase disturbance, tiny phase disturbance in the high-frequency driving force destroys the reliability and reduces the response speed of logic devices, depending on amplitude and frequency of driving force; (2) frequency ratio between two driving forces significantly affects the performance of logic devices, and large frequency ratio may let logic system deteriorate very quickly. Finally, the intuitive interpretation for the effect of phase disturbance is given based on the motion of the coupled Brownian particles in potential wells.