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We present sufficient conditions for the existence of forced oscillations in non-autonomous mechanical systems. Previously, similar results were obtained for systems with friction. Presented results hold both for systems with and without…

Dynamical Systems · Mathematics 2020-05-29 Ivan Polekhin

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 N. J. Miller , S. W. Shaw , M. I. Dykman

Magnetic friction is a form of non-contact friction arising from the dissipation of energy in a magnet due to spin reorientation in a magnetic field. In this paper we study magnetic friction in the context of micromagnetics, using our…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Ilari Rissanen , Lasse Laurson

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 physics of sliding friction is gaining impulse from nanoscale and mesoscale experiments, simulations, and theoretical modeling. This Colloquium reviews some recent developments in modeling and in atomistic simulation of friction,…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Andrea Vanossi , Nicola Manini , Michael Urbakh , Stefano Zapperi , Erio Tosatti

We study sustained oscillations in two-dimensional oscillator systems driven by Rayleigh-type negative friction. In particular we investigate the influence of mismatch of the two frequencies. Further we study the influence of external noise…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Udo Erdmann , Werner Ebeling

The small mass and high coherence of nanomechanical resonators render them the ultimate force probe, with applications ranging from biosensing and magnetic resonance force microscopy, to quantum optomechanics. A notorious challenge in these…

Quantum Physics · Physics 2017-07-18 Yeghishe Tsaturyan , Andreas Barg , Eugene S. Polzik , Albert Schliesser

A molecular rotor mechanism is proposed to explain weak magnetic field effects in biology. Despite being nanoscale (1 nm), this rotor exhibits quantum superposition and interference. Analytical modeling shows its quantum dynamics are highly…

Biological Physics · Physics 2025-12-18 V. N. Binhi

It is shown that in an anisotropic harmonic trap that rotates with the properly chosen rotation rate, the force of gravity leads to a resonant behavior. Full analysis of the dynamics in an anisotropic, rotating trap in 3D is presented and…

Quantum Physics · Physics 2009-11-10 Iwo Bialynicki-Birula , Tomasz Sowinski

The investigation of a sizable thermal enhancement of magnetization is put forward for uniaxial ferromagnetic nanoparticles that are placed in a rotating magnetic field. We elucidate the nature of this phenomenon and evaluate the resonant…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , T. V. Lyutyy , P. Hänggi

Here we apply nanomechanical resonators to the study of oscillatory fluid dynamics. A high-resonance-frequency nanomechanical resonator generates a rapidly oscillating flow in a surrounding gaseous environment; the nature of the flow is…

Other Condensed Matter · Physics 2009-11-13 D. M. Karabacak , V. Yakhot , K. L. Ekinci

Using a powerful combination of projection-operator method and path-space response theory, we derive the fluctuation dynamics of a slow inertial probe coupled to a steady nonequilibrium medium under the assumption of time-scale separation.…

Statistical Mechanics · Physics 2025-04-24 Ji-Hui Pei , Christian Maes

We present a method to stabilize the frequency of self-sustained vibrations in micro- and nanomechanical resonators. The method refers to a two-mode system with the vibrations at significantly different frequencies. The signal from one mode…

Systems and Control · Electrical Eng. & Systems 2024-05-21 B. Zhang , Yingming Yan , X. Dong , M. I. Dykman , H. B. Chan

Achieving optimal force sensitivity with nanomechanical resonators requires the ability to resolve their thermal vibrations. In two-dimensional resonators, this can be done by measuring the energy they absorb while vibrating in an optical…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 Heng Lu , Tingting Li , Hui Hu , Fengnan Chen , Ti Sun , Ying Yan , Chinhua Wang , Joel Moser

The mechanical response of a circularly-driven disk in a dissipative medium is considered. We focus on the role played by viscous friction in the spinning motion of the disk, especially on the effect called reverse rotation, where the…

Classical Physics · Physics 2015-06-17 Pablo de Castro , Fernando Parisio

Because of the broken time-translation symmetry, in periodically driven vibrational systems fluctuations of different vibration components have different intensities. Fluctuations of one of the components are often squeezed, whereas…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 J. S. Huber , G. Rastelli , M. J. Seitner , J. Kölbl , W. Belzig , M. I. Dykman , E. M. Weig

Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion could be obtained by also looking…

We study in detail the recent suggestions by Tshiprut et al. [Phys. Rev. Lett. 95, 016101 (2005)] to tune tribological properties at the nanoscale by subjecting a substrate to periodic mechanical oscillations. We show that both in…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Roberto Guerra , Andrea Vanossi , Michael Urbakh

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Ata Keşkekler , Oriel Shoshani , Martin Lee , Herre S. J. van der Zant , Peter G. Steeneken , Farbod Alijani