Scaling laws for the bifurcation-escape rate in a nanomechanical resonator
| hal.structure.identifier | Ultra-basses températures [NEEL - UBT] | |
| dc.contributor.author | DEFOORT, Martial | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | PULLER, Vadim | |
| hal.structure.identifier | Thermodynamique et biophysique des petits systèmes [NEEL - TPS] | |
| dc.contributor.author | BOURGEOIS, Olivier | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | PISTOLESI, Fabio | |
| hal.structure.identifier | Ultra-basses températures [NEEL - UBT] | |
| dc.contributor.author | COLLIN, Eddy | |
| dc.date.created | 2014-09-12 | |
| dc.date.issued | 2015-11-19 | |
| dc.identifier.issn | 1539-3755 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Nano Mécanique Quantique - ANR-10-BLAN-0404 | |
| dc.language.iso | en | |
| dc.publisher | American Physical Society | |
| dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
| dc.subject.en | nano-mechanics | |
| dc.subject.en | bifurcation | |
| dc.subject.en | nonlinear phenomena | |
| dc.title.en | Scaling laws for the bifurcation-escape rate in a nanomechanical resonator | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1103/PhysRevE.92.050903 | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall] | |
| dc.identifier.arxiv | 1409.6971 | |
| dc.description.sponsorshipEurope | EUROPEAN MICROKELVIN COLLABORATION | |
| bordeaux.journal | Physical Review E : Statistical, Nonlinear, and Soft Matter Physics | |
| bordeaux.page | 050903(R) | |
| bordeaux.volume | 92 | |
| bordeaux.issue | 5 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01064458 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01064458v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20E%20:%20Statistical,%20Nonlinear,%20and%20Soft%20Matter%20Physics&rft.date=2015-11-19&rft.volume=92&rft.issue=5&rft.spage=050903(R)&rft.epage=050903(R)&rft.eissn=1539-3755&rft.issn=1539-3755&rft.au=DEFOORT,%20Martial&PULLER,%20Vadim&BOURGEOIS,%20Olivier&PISTOLESI,%20Fabio&COLLIN,%20Eddy&rft.genre=article |
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