Nonlinear mode-coupling in nanomechanical systems.
Matthew H. Matheny,Luis Guillermo Villanueva,R. B. Karabalin,John E. Sader,John E. Sader,Michael L. Roukes +5 more
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TLDR
An experimental protocol and a highly linear transduction scheme, specifically designed for NEMS, that enables accurate, in situ characterization of device nonlinearities and assessment of the validity of the approach is found.Abstract:
Understanding and controlling nonlinear coupling between vibrational modes is critical for the development of advanced nanomechanical devices; it has important implications for applications ranging from quantitative sensing to fundamental research. However, achieving accurate experimental characterization of nonlinearities in nanomechanical systems (NEMS) is problematic. Currently employed detection and actuation schemes themselves tend to be highly nonlinear, and this unrelated nonlinear response has been inadvertently convolved into many previous measurements. In this Letter we describe an experimental protocol and a highly linear transduction scheme, specifically designed for NEMS, that enables accurate, in situ characterization of device nonlinearities. By comparing predictions from Euler–Bernoulli theory for the intra- and intermodal nonlinearities of a doubly clamped beam, we assess the validity of our approach and find excellent agreement.read more
Citations
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Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
Matthew H. Matheny,Matt Grau,Luis Guillermo Villanueva,R. B. Karabalin,Michael Cross,Michael L. Roukes +5 more
TL;DR: This work establishes that oscillator networks constructed from nanomechanical resonators form an ideal laboratory to study synchronization--given their high-quality factors, small footprint, and ease of cointegration with modern electronic signal processing technologies.
Journal ArticleDOI
Frequency fluctuations in silicon nanoresonators
Marc Sansa,Eric Sage,Elizabeth C. Bullard,Marc Gely,Thomas Alava,Eric Colinet,Akshay Naik,Luis Guillermo Villanueva,Laurent Duraffourg,Michael L. Roukes,Guillaume Jourdan,Sebastien Hentz +11 more
TL;DR: This work shows that all studies of frequency stability report values several orders of magnitude larger than the limit imposed by thermomechanical noise, and proposes a new method to show this was due to the presence of frequency fluctuations, of unexpected level.
Journal ArticleDOI
Foundations of Nanomechanics: From Solid-State Theory to Device Applications
TL;DR: In this article, the Dirac Delta Function has been used to model the relationship between stress and strain in two-dimensional lattices and elasticity relations in a three-dimensional manifold.
Journal ArticleDOI
Nanophononics: state of the art and perspectives
Sebastian Volz,Jose Ordonez-Miranda,Andrey Shchepetov,Mika Prunnila,Jouni Ahopelto,Thomas Pezeril,Gwenaelle Vaudel,Vitaly Gusev,Pascal Ruello,Eva M. Weig,Martin Schubert,Mike Hettich,Martin Grossman,Thomas Dekorsy,Francesc Alzina,Bartlomiej Graczykowski,Emigdio Chavez-Angel,J. Sebastian Reparaz,Markus R. Wagner,Clivia M. Sotomayor-Torres,Shiyun Xiong,Sanghamitra Neogi,Sanghamitra Neogi,Davide Donadio +23 more
TL;DR: In this article, the authors assess the state of the art of nanophononics, describing the recent achievements and the open challenges in nanoscale heat transport, coherent phonon generation and exploitation, and in nano- and optomechanics.
Journal ArticleDOI
Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators
Luis Guillermo Villanueva,Eyal Kenig,R. B. Karabalin,Matthew H. Matheny,Ron Lifshitz,Michael Cross,Michael L. Roukes +6 more
TL;DR: It is shown that by operating the oscillator at special points in the resonator's anharmonic regime the authors can overcome fundamental limitations of oscillator performance due to thermodynamic noise as well as practical limitations due to noise from the sustaining circuit.
References
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