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Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

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Diffusion-induced bistability of driven nanomechanical resonators.

J Atalaya¹, A Isacsson, M I Dykman

¹Department of Applied Physics, Chalmers University of Technology, Göteborg, Sweden.

Physical Review Letters

|June 28, 2011

Summary

Nanomechanical resonators exhibit bistability when particle diffusion is high. The lifetime of these states increases exponentially with diffusion, showing scaling near bifurcation points.

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Area of Science:

Physics
Materials Science
Nanotechnology

Background:

Nanomechanical resonators are sensitive to surface interactions.
Frequency fluctuations in resonators can arise from adsorbed particle dynamics.
The interplay between mechanical vibration and particle diffusion is not fully understood.

Purpose of the Study:

To investigate the impact of particle diffusion on nanomechanical resonator frequency.
To explore the emergence of bistability in resonator response due to diffusion-dependent effects.
To characterize the lifetime and scaling behavior of coexisting vibrational states.

Main Methods:

Theoretical modeling of nanomechanical resonators coupled to diffusing particles.
Analysis of resonator dynamics under periodic driving.
Investigation of amplitude-dependent diffusion coefficients.
Study of system behavior near bifurcation points.

Main Results:

Frequency fluctuations in nanomechanical resonators are driven by particle diffusion.
Resonator response exhibits bistability for sufficiently large diffusion coefficients (D).
The lifetime of coexisting states shows exponential dependence on D and scaling near bifurcation points.

Conclusions:

Particle diffusion significantly influences nanomechanical resonator dynamics.
Bistability and long-lived states are observable phenomena in such systems.
The findings provide insights into the fundamental physics of driven dissipative nonlinear systems.