Activation barrier scaling and crossover for noise-induced switching in a micromechanical parametric oscillator

Abstract

We explore fluctuation-induced switching in a parametrically-driven micromechanical torsional oscillator. The oscillator possesses one, two or three stable attractors depending on the modulation frequency. Noise induces transitions between the coexisting attractors. Near the bifurcation points, the activation barriers are found to have a power law dependence on frequency detuning with critical exponents that are in agreement with predicted universal scaling relationships. At large detuning, we observe a crossover to a different power law dependence with an exponent that is device specific.

arXiv comment5 pages, 5 figures

References in corpus (10)

• Nonlinear Micromechanical Casimir Oscillator
• Dynamical multistability in high-finesse micromechanical optical cavities
• An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
• Noise-enabled precision measurements of a Duffing nanomechanical resonator
• Surmounting Oscillating Barriers
• Noise activated switching in a driven, nonlinear micromechanical oscillator
• Noise-Activated Escape from a Sloshing Potential Well
• Spontaneous Symmetry Breaking of Population between Two Dynamic Attractors in a Driven Atomic Trap: Ising-class Phase Transition
• Resonant symmetry lifting in a parametrically modulated oscillator
• Scaling in activated escape of underdamped systems

Cited by in corpus (28)

• Universal non-equilibrium properties of dissipative Rydberg gases
• Mesoscopic physics of nanomechanical systems
• Classical many-body time crystals
• Paths of fluctuation induced switching
• High-frequency stochastic switching of graphene resonators near room temperature
• Ultrasensitive hysteretic force sensing with parametric nonlinear oscillators
• An Ideal Mean-Field Transition in a Modulated Cold Atom System
• Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator
• Experimental metrics for detection of detailed balance violation
• Intervention-Based Stochastic Disease Eradication
• Scaling laws for the bifurcation-escape rate in a nanomechanical resonator
• Controlled asymmetric Ising model implemented with parametric micromechanical oscillators
• Nonlinear, Nonequilibrium and Collective Dynamics in a Periodically Modulated Cold Atom System
• Poisson noise induced switching in driven micromechanical resonators
• Homoclinic orbits and chaos in a pair of parametrically-driven coupled nonlinear resonators
• Deterministic and stochastic sampling of two coupled Kerr parametric oscillators
• Hamiltonian reconstruction via ringdown dynamics
• Escape Time Characterization of Pendular Fabry-Perot
• Extracting the lifetime of a synthetic two-level system
• Scaling properties of noise-induced switching in a bistable tunnel diode circuit
• Steering most probable escape paths by varying relative noise intensities
• Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics
• Hidden vibrational bistability revealed by intrinsic fluctuations of a carbon nanotube
• Multistability and Noise-Induced Transitions in Dispersively-Coupled Nonlinear Nanomechanical Modes
• Work fluctuations in a nonlinear micromechanical oscillator driven far from thermal equilibrium
• Asymmetric noise-induced large fluctuations in coupled systems
• Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
• Stochastic dynamics of an electron in a Penning trap: phase flips correlated with amplitude collapses and revivals