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We study the response of a large array of coupled nonlinear oscillators to parametric excitation, motivated by the growing interest in the nonlinear dynamics of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). Using…

Other Condensed Matter · Physics 2009-04-09 Yaron Bromberg , M. C. Cross , Ron Lifshitz

We demonstrate theoretically and experimentally that the nonlinear interaction between excitations whose harmonic energies coincide gives rise to a strong coupling that opens a new coherent ultrafast energy relaxation path. Instead of an…

Mesoscale and Nanoscale Physics · Physics 2016-05-31 Pierre Gilliot , Bertrand Yuma , Marc Ziegler , Mathieu Gallart , Bernd Hönerlage

In this paper, we study the stability of a simple model of a Hyperloop vehicle resulting from the interaction between electromagnetic and aeroelastic forces for both constant and periodically varying coefficients (i.e., parametric…

This study proposes an effective theoretical framework for non-adiabatic parametric excitation in structured media, incorporating a nonlinear frequency regulator U as a stabilizing mechanism. We introduce the non-adiabaticity parameter as a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 A. M. Tishin

We investigate the nonlinear response of a vibrating suspended nanomechanical beam on external periodic driving. The amplitude of the fundamental transverse mode behaves thereby like a weakly damped quantum particle in a driven anharmonic…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. Peano , M. Thorwart

Resonant electromagnetic actuators have been broadly used as vibration motors for mobile devices given their ability of generating relatively fast, strong, and controllable vibration force at a given resonant frequency. Mechanism of the…

Applied Physics · Physics 2018-03-20 Youngjun Cho

Absorbing airborne noise at frequencies below 300 Hz is a particularly vexing problem due to the absence of natural sound absorbing materials at these frequencies. The prevailing solution for low-frequency sound absorption is the use of…

Applied Physics · Physics 2020-01-15 Xinxin Guo , Romain Fleury , Hervé Lissek

We explore the nonlinear dynamics of a cavity optomechanical system. Our realization consisting of a drumhead nano-electro-mechanical resonator (NEMS) coupled to a microwave cavity, allows for a nearly ideal platform to study the…

We propose a microscopic model for a nanoelectromechanical system made by a radio-frequency driven suspended carbon nanotube (CNT) in the presence of an external magnetic field perpendicular to the current. As a main result, we show that,…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 A. Nocera , C. A. Perroni , V. Marigliano Ramaglia , G. Cantele , V. Cataudella

Bestriding the realms of classical and quantum mechanics, nanomechanical structures offer great promise for a huge variety of applications, from computer memory elements \cite{badzey04} and ultra-fast sensors to quantum computing.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. L. Badzey , G. Zolfagharkhani , S. -B. Shim , A. Gaidarzhy , P. Mohanty

We use the recently proposed scattering states numerical renormalization group (SNRG) approach to calculate $I(V)$ and the differential conductance through a single molecular level coupled to a local molecular phonon. We also discuss the…

Strongly Correlated Electrons · Physics 2015-06-12 Andre Jovchev , Frithjof Anders

The resonant interaction of relativistic electrons and whistler waves is an important mechanism of electron acceleration and scattering in the Earth radiation belts and other space plasma systems. For low amplitude waves, such an…

Plasma Physics · Physics 2020-05-20 A. V. Artemyev , A. I. Neishtadt , A. A. Vasiliev

A theoretical and experimental investigation is presented on the intermodal coupling between the flexural vibration modes of a single clamped-clamped beam. Nonlinear coupling allows an arbitrary flexural mode to be used as a self-detector…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 H. J. R. Westra , M. Poot , H. S. J. van der Zant , W. J. Venstra

In this study, we present a novel platform based on scanning microwave microscopy for manipulating and detecting tiny vibrations of nanoelectromechanical resonators using a single metallic tip. The tip is placed on the top of a grounded…

Experiments to probe the basic quantum properties of motional degrees of freedom of mechanical systems have developed rapidly over the last decade. One promising approach is to use hybrid electromechanical systems incorporating…

Quantum Physics · Physics 2016-08-05 F. Rouxinol , Y. Hao , F. Brito , A. O. Caldeira , E. K. Irish , M. D. LaHaye

Nanomechanical resonators, machined out of Silicon-on-Insulator wafers, are operated in the nonlinear regime to investigate higher-order mechanical mixing at radio frequencies, relevant to signal processing and nonlinear dynamics on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Erbe , G. Corso , H. Krommer , A. Kraus , K. Richter , R. H. Blick

Real applications in structural mechanics, where the dynamic behavior is linear, are rare. Usually, structures are made of components assembled together by means of joints whose behavior maybe highly nonlinear. Depending on the amount of…

Dynamical Systems · Mathematics 2018-11-26 Stefano Zucca , Christian M. Firrone

Resonant parametric modulation is a major tool of studying magnetic systems. For a spin-1/2 chain in a strong magnetic field, the resulting excitations can be mapped on fermionic excitations in the Kitaev chain. We show that the response to…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Mahmoud T. Elewa , M. I. Dykman

The dynamical backaction from a periodically driven optical or microwave cavity can reduce the damping of a mechanical resonator, leading to parametric instability accompanied by self-sustained oscillations. Fundamentally, the driving…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 F. Sun , X. Dong , J. Zou , M. I. Dykman , H. B. Chan

The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for small arrays of oscillators are used to guide the analysis of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ron Lifshitz , M. C. Cross
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