Scaling laws for the bifurcation-escape rate in a nanomechanical resonator
Language
en
Article de revue
This item was published in
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics. 2015-11-19, vol. 92, n° 5, p. 050903(R)
American Physical Society
English Abstract
We report on experimental and theoretical studies of the fluctuation-induced escape time from a metastable state of a nanomechanical Duffing resonator in cryogenic environment. By tuning in situ the non-linear coefficient ...Read more >
We report on experimental and theoretical studies of the fluctuation-induced escape time from a metastable state of a nanomechanical Duffing resonator in cryogenic environment. By tuning in situ the non-linear coefficient $\gamma$ we could explore a wide range of the parameter space around the bifurcation point, where the metastable state becomes unstable. We measured in a relaxation process the distribution of the escape times. We have been able to verify its exponential distribution and extract the escape rate $\Gamma$. We investigated the scaling of $\Gamma$ with respect to the distance to the bifurcation point and $\gamma$, finding an unprecedented quantitative agreement with the theoretical description of the stochastic problem. Simple power scaling laws turn out to hold in a large region of the parameter's space, as anticipated by recent theoretical predictions. These unique findings, implemented in a model dynamical system, are relevant to all systems experiencing under-damped saddle-node bifurcation.Read less <
English Keywords
nano-mechanics
bifurcation
nonlinear phenomena
European Project
EUROPEAN MICROKELVIN COLLABORATION
ANR Project
Nano Mécanique Quantique - ANR-10-BLAN-0404
Origin
Hal imported