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A Stochastic Simulation of Noise-induced Flipping From Buckling for a Microcantilever
New Phys.: Sae Mulli 2019; 69: 771~775
Published online July 31, 2019;
© 2019 New Physics: Sae Mulli.

Manhee LEE*

Department of Physics, Chungbuk National University, Cheongju, Chungbuk 28644, Korea
Correspondence to:
Received April 19, 2019; Revised May 23, 2019; Accepted May 23, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We present a stochastic simulation for an elastic microcantilever that flips its buckling states in response to pulling the surface into contact with the cantilever. Based on a model including an asymmetric double-well potential and a stochastic force, our simulation reproduces the experimentally observed nonlinear transition of buckling states, which depends on the surface speed and the stochastic force. In particular, the simulation describes the increasing fluctuation in the tip position as the system approaches the bifurcation point, and the result shows that the buckling-to-flipping transition occurs earlier for a random force with a higher intensity. The present simulation study can be used to investigate sensitive detection of surface acoustic waves and related phenomena such as stick-slip friction.
PACS numbers: 46.32.+x,, 05.45.--a, 07.79.Lh
Keywords: Atomic force microscopy, Buckling, bifurcation, Nonlinear dynamics

July 2019, 69 (7)
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