Hidden vibrational bistability revealed by intrinsic fluctuations of a carbon nanotube

TL;DR

This paper uncovers a hidden vibrational bistability in a carbon nanotube, where intrinsic fluctuations cause random switching between quiet and oscillatory states, revealing a new dynamical regime in mesoscopic vibrational systems.

Contribution

It demonstrates the existence of noise-induced bistability in a carbon nanotube and proposes a minimal model explaining its origin through nonlinear friction effects.

Findings

Observation of random switching between stable states

Poisson statistics of the switching events

Bistability arising from nonlinear friction variation

Abstract

We demonstrate that a quiet state and large-amplitude self-sustained oscillations can co-exist in a carbon nanotube subject to time-independent drive. A feature of the bistability is that it would be hysteresis-free in the absence of noise and the oscillatory state would not be seen. It is revealed by random switching between the stable states, which we observe in the time domain. We attribute the switching to fluctuations in the system and show that it displays Poisson statistics. We propose a minimalistic model that relates the emergence of the bistability to a non-monotonic variation of nonlinear friction with the vibration amplitude. This new type of dynamical regime and the means to reveal it are generic and are of interest for various mesoscopic vibrational systems.