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We present theoretical results for the backaction force noise and damping of a mechanical oscillator whose position is measured by a mesoscopic conductor. Our scattering approach is applicable to a wide class of systems; in particular, it…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Steven D. Bennett , Jesse Maassen , Aashish A. Clerk

We derive approximate expressions for the amplitude decay of harmonic oscillations weakly damped by the simultaneous action of three different damping forces: force of constant magnitude, force linear in velocity, and force quadratic in…

Classical Physics · Physics 2025-05-15 Karlo Lelas , Robert Pezer

We present a study of resonant vibrational coupling between adsorbates and an elastic substrate at low macroscopic coverages. In the first part of the paper we consider the situation when adsorbates form aggregates with high local coverage.…

Materials Science · Physics 2009-10-31 M. V. Pykhtin , Andrew M. Rappe , Steven P. Lewis

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

Other Condensed Matter · Physics 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

We calculate the change of the properties of a resonator, when coupled to a semiclassical spin by means of the magnetic field. Starting with the Lagrangian of the complete system, we provide an analytical expression for the linear response…

Mesoscale and Nanoscale Physics · Physics 2016-10-21 J. M. de Voogd , J. J. T. Wagenaar , T. H. Oosterkamp

In structural dynamics, energy dissipative mechanisms with non-viscous damping are characterized by their dependence on the time-history of the response velocity, mathematically represented by convolution integrals involving hereditary…

Dynamical Systems · Mathematics 2018-05-22 Mario Lázaro

Combined effects of the damping and forcing in the underdamped time-delayed Duffing oscillator are considered in this paper. We analyze the generation of a certain damping-induced unpredictability, due to the gradual suppression of…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 Mattia Coccolo , Julia Cantisán , Jesús M. Seoane , S. Rajasekar , Miguel A. F. Sanjuán

In this paper we study the phenomenon of nonlinear supratransmission in a semi-infinite discrete chain of coupled oscillators described by modified sine-Gordon equations with constant external and internal damping, and subject to harmonic…

Numerical Analysis · Mathematics 2011-12-06 J. E. Macías-Díaz , A. Puri

We study the possibility of occurrence of vibrational resonance in a softening Duffing oscillator in the underdamped and overdamped cases both theoretically as well as numerically. The oscillator is driven by two periodic forces.…

Chaotic Dynamics · Physics 2021-07-20 Ivan Skhem Sawkmie , Donrich Kharkongor

Describing the evolution of quantum systems by means of non-Hermitian generators opens a new avenue to explore the dynamical properties naturally emerging in such a picture, e.g. operation at the so-called exceptional points, preservation…

Quantum Physics · Physics 2023-12-01 Javid Naikoo , Ravindra W. Chhajlany , Jan Kolodynski

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. Taking into account Coulomb collisions…

Plasma Physics · Physics 2007-08-08 V. N. Soshnikov

A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of…

Optimization and Control · Mathematics 2011-10-17 V. N. Pilipchuk

We report on miniature GaAs disk optomechanical resonators vibrating in air in the radiofrequency range. The flexural modes of the disks are studied by scanning electron microscopy and optical interferometry, and correctly modeled with the…

Optics · Physics 2012-06-15 D. Parrain , C. Baker , T. Verdier , P. Senellart , A. Lemaitre , S. Ducci , G. Leo , I. Favero

A new mechanisms for damping of slow magnetosonic waves (SMW) by pressure induced oscillations of the ionization degree is proposed. An explicit formula for the damping rate is quantitatively derived. Physical conditions where the new…

Plasma Physics · Physics 2020-12-02 Todor M. Mishonov , Albert M. Varonov

The problem of damping a system of linear oscillators is considered. The problem is solved by using a control in the form of dry friction. The motion of the system under the control is governed by a system of differential equations with…

Optimization and Control · Mathematics 2016-07-19 Alexander Ovseevich , Aleksey Fedorov

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

Optimization and Control · Mathematics 2021-02-23 Jon Cockayne , Andrew B. Duncan

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

Mechanical responses of soft particle packings to quasi-static deformations are determined by the microscopic restructuring of force-chain networks, where complex non-affine displacements of constituent particles cause the irreversible…

Soft Condensed Matter · Physics 2015-07-17 Kuniyasu Saitoh , Vanessa Magnanimo , Stefan Luding

The Coulomb excitations of charge density oscillation are calculated for a double-layer heterostructure. Specifically, we consider two-dimensional (2D) layers of silicene and graphene on a substrate. From the obtained surface response…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Dipendra Dahal , Godfrey Gumbs , Andrii Iurov , Chin-Sen Ting

Detailed comparisons are reported between laboratory observations of electron-scale dissipation layers near a reconnecting X-line and direct two-dimensional full-particle simulations. Many experimental features of the electron layers, such…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 H. Ji , Y. Ren , M. Yamada , S. Dorfman , W. Daughton , S. P. Gerhardt