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2016-12-28
Quantum coherence of two-qubit over quantum channels with memory
Using the axiomatic definition of the coherence measure, such as the $l_{1}$ norm and the relative entropy, we study the phenomena of two-qubit system quantum coherence through quantum channels where successive uses of the channels are memory. Different types of noisy channels with memory, such as amplitude damping, ph...
1612.08791v1
2017-01-04
Hamiltonian of mean force and a damped harmonic oscillator in an anisotropic medium
The quantum dynamics of a damped harmonic oscillator is investigated in the presence of an anisotropic heat bath. The medium is modeled by a continuum of three dimensional harmonic oscillators and anisotropic coupling is treated by introducing tensor coupling functions. Starting from a classical Lagrangian, the total s...
1701.00964v2
2017-01-30
Quantization of energy and weakly turbulent profiles of the solutions to some damped second order evolution equations
We consider a second order equation with a linear "elastic" part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavior of solutions, after rescaling them suitably in order to take into account the decay rate and bound their energy away from zero.We find a ...
1701.08604v1
2017-02-15
Topological Properties of a Coupled Spin-Photon System Induced by Damping
We experimentally examine the topological nature of a strongly coupled spin-photon system induced by damping. The presence of both spin and photonic losses results in a non-Hermitian system with a variety of exotic phenomena dictated by the topological structure of the eigenvalue spectra and the presence of an exceptio...
1702.04797v2
2017-02-22
Modified quantum-speed-limit bounds for open quantum dynamics in quantum channels
The minimal evolution time between two distinguishable states is of fundamental interest in quantum physics. Very recently Mirkin et al. argue that some most common quantum-speed-limit (QSL) bounds which depend on the actual evolution time do not cleave to the essence of the QSL theory as they grow indefinitely but the...
1702.06748v3
2017-03-07
Lower Bound and optimality for a nonlinearly damped Timoshenko system with thermoelasticity
In this paper, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We first investigate the strong stability of this system, then we devote our efforts to obtain the strong lower energy estimates using Alabau--Boussouira's energy comparison principle introduced in \cite{2} (see ...
1703.02599v4
2017-03-08
A Parameterized Energy Correction Method for Electromagnetic Showers in BGO-ECAL of DAMPE
DAMPE is a space-based mission designed as a high energy particle detector measuring cosmic-rays and $\gamma-$rays which was successfully launched on Dec.17, 2015. The BGO electromagnetic calorimeter is one of the key sub-detectors of DAMPE for energy measurement of electromagnetic showers produced by $e^{\pm}/{\gamma}...
1703.02821v2
2017-03-08
A GAMP Based Low Complexity Sparse Bayesian Learning Algorithm
In this paper, we present an algorithm for the sparse signal recovery problem that incorporates damped Gaussian generalized approximate message passing (GGAMP) into Expectation-Maximization (EM)-based sparse Bayesian learning (SBL). In particular, GGAMP is used to implement the E-step in SBL in place of matrix inversio...
1703.03044v2
2017-04-07
Underdamped stochastic harmonic oscillator
We investigate stationary states of the linear damped stochastic oscillator driven by L\'evy noises. In the long time limit kinetic and potential energies of the oscillator do not fulfill the equipartition theorem and their distributions follow the power-law asymptotics. At the same time, partition of the mechanical en...
1704.02119v2
2017-04-13
Quantum behaviour of open pumped and damped Bose-Hubbard trimers
We propose and analyse analogs of optical cavities for atoms using three-well inline Bose-Hubbard models with pumping and losses. With one well pumped and one damped, we find that both the mean-field dynamics and the quantum statistics show a qualitative dependence on the choice of damped well. The systems we analyse r...
1704.04021v1
2017-05-27
Power System Supplementary Damping Controllers in the Presence of Saturation
This paper presents the analysis and a method to design supplementary damping controllers (SDCs) for synchronous generators considering the effects of saturation limits. Usually such saturations of control signals are imposed in order to enforce practical limitations such as component ratings. However, to guarantee the...
1705.09849v1
2017-05-26
Absence of Landau damping in driven three-component Bose-Einstein condensate in optical lattices
We explore the quantum many-body physics of a three-component Bose-Einstein condensate (BEC) in an optical lattices driven by laser fields in $V$ and $\Lambda$ configurations. We obtain exact analytical expressions for the energy spectrum and amplitudes of elementary excitations, and discover symmetries among them. We ...
1705.10199v2
2017-05-31
Low-energy modes of spin-imbalanced Fermi gases in BCS phase
The low-energy modes of a spin-imbalanced superfluid Fermi gas in the Bardeen-Cooper-Schrieffer (BCS) side are studied. The gas is assumed to be sufficiently dilute so that the pairing of atoms can be considered effective only in s-wave between fermions of different internal state. The order parameter at equilibrium is...
1705.11162v1
2017-06-01
Global Stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers
In this paper we introduce a finite-parameters feedback control algorithm for stabilizing solutions of the Navier-Stokes-Voigt equations, the strongly damped nonlinear wave equations and the nonlinear wave equation with nonlinear damping term, the Benjamin-Bona-Mahony-Burgers equation and the KdV-Burgers equation. This...
1706.00162v1
2017-06-08
Realistic clocks for a Universe without time
There are a number of problematic features within the current treatment of time in physical theories, including the "timelessness" of the Universe as encapsulated by the Wheeler-DeWitt equation. This paper considers one particular investigation into resolving this issue; a conditional probability interpretation that wa...
1706.02531v1
2017-06-26
High $β$ Effects on Cosmic Ray Streaming in Galaxy Clusters
Diffuse, extended radio emission in galaxy clusters, commonly referred to as radio halos, indicate the presence of high energy cosmic ray (CR) electrons and cluster-wide magnetic fields. We can predict from theory the expected surface brightness of a radio halo, given magnetic field and CR density profiles. Previous st...
1706.08525v2
2017-07-02
Metastability of Kolmogorov flows and inviscid damping of shear flows
First, we consider Kolmogorov flow (a shear flow with a sinusoidal velocity profile) for 2D Navier-Stokes equation on a torus. Such flows, also called bar states, have been numerically observed as one type of metastable states in the study of 2D turbulence. For both rectangular and square tori, we prove that the non-sh...
1707.00278v1
2017-09-06
Linear gyrokinetic investigation of the geodesic acoustic modes in realistic tokamak configurations
Geodesic acoustic modes (GAMs) are studied by means of the gyrokinetic global particle-in-cell code ORB5. Linear electromagnetic simulations in the low electron beta limit have been performed, in order to separate acoustic and Alfv\'enic time scales and obtain more accurate measurements. The dependence of the frequency...
1709.01818v1
2017-09-17
Further insights into the damping-induced self-recovery phenomenon
In a series of papers, D. E. Chang, et al., proved and experimentally demonstrated a phenomenon they termed "damping-induced self-recovery". However, these papers left a few questions concerning the observed phenomenon unanswered - in particular, the effect of the intervening lubricant-fluid and its viscosity on the re...
1709.05596v5
2017-09-19
An Improved Primal-Dual Interior Point Solver for Model Predictive Control
We propose a primal-dual interior-point (PDIP) method for solving quadratic programming problems with linear inequality constraints that typically arise form MPC applications. We show that the solver converges (locally) quadratically to a suboptimal solution of the MPC problem. PDIP solvers rely on two phases: the damp...
1709.06362v1
2017-09-22
Nonlinear stage of Benjamin-Feir instability in forced/damped deep water waves
We study a three-wave truncation of a recently proposed damped/forced high-order nonlinear Schr\"odinger equation for deep-water gravity waves under the effect of wind and viscosity. The evolution of the norm (wave-action) and spectral mean of the full model are well captured by the reduced dynamics. Three regimes are ...
1709.07850v2
2017-09-27
On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions
Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion. We focus on the case where there is a balance between nonlocal attraction and local pressure in presence of confinement in the whole space...
1709.09290v2
2017-09-28
Landau Damping with Electron Lenses in Space-Charge Dominated Beams
Progress on the Intensity Frontier of high energy physics critically depends on record high intensity charged particles accelerators. Beams in such machines become operationally limited by coherent beam instabilities, particularly enhanced in the regime of strong space charge (SC). Usual methods to control the instabil...
1709.10020v1
2017-10-13
Hydrodynamic-to-ballistic crossover in Dirac fluid
We develop an exactly solvable classical kinetic model of transport in Dirac materials accounting for strong electron-electron (e-e) and electron-hole (e-h) collisions. We use this model to track the evolution of graphene conductivity and properties of its collective excitations across the hydrodynamic-to-ballistic cro...
1710.05054v3
2017-10-13
The second hyperpolarizability of systems described by the space-fractional Schrodinger equation
The static second hyperpolarizability is derived from the space-fractional Schr\"{o}dinger equation in the particle-centric view. The Thomas-Reiche-Kuhn sum rule matrix elements and the three-level ansatz determines the maximum second hyperpolarizability for a space-fractional quantum system. The total oscillator stren...
1710.05099v2
2017-11-08
Bulk viscous corrections to screening and damping in the deconfined phase at high temperature
Non-equilibrium corrections in a hot QCD medium modify the "hard thermal loops" (HTL) which determine the resummed propagators for gluons with soft momenta as well as the Debye screening and Landau damping mass scales. We focus on bulk viscous corrections to a thermal fixed point. The screening and damping mass scales ...
1711.03072v1
2017-11-29
A model explaining neutrino masses and the DAMPE cosmic ray electron excess
We propose a flavored $U(1)_{e\mu}$ neutrino mass and dark matter~(DM) model to explain the recent DArk Matter Particle Explorer (DAMPE) data, which feature an excess on the cosmic ray electron plus positron flux around 1.4 TeV. Only the first two lepton generations of the Standard Model are charged under the new $U(1)...
1711.10995v2
2017-11-29
Electrophilic dark matter with dark photon: from DAMPE to direct detection
The electron-positron excess reported by the DAMPE collaboration recently may be explained by an electrophilic dark matter (DM). A standard model singlet fermion may play the role of such a DM when it is stablized by some symmetries, such as a dark $U(1)_X^{}$ gauge symmetry, and dominantly annihilates into the electro...
1711.11000v2
2017-11-30
Leptophilic dark matter in gauged $U(1)_{L_e-L_μ}$ model in light of DAMPE cosmic ray $e^+ + e^-$ excess
Motivated by the very recent cosmic-ray electron+positron excess observed by DAMPE collaboration, we investigate a Dirac fermion dark matter (DM) in the gauged $L_e - L_\mu$ model. DM interacts with the electron and muon via the $U(1)_{e-\mu}$ gauge boson $Z^{'}$. The model can explain the DAMPE data well. Although a n...
1711.11563v3
2017-12-03
Explaining the DAMPE $e^+ e^-$ excess using the Higgs triplet model with a vector dark matter
We explain the $e^+ e^-$ excess observed by the DAMPE Collaboration using a dark matter model based upon the Higgs triplet model and an additional hidden $SU(2)_X$ gauge symmetry. Two of the $SU(2)_X$ gauge bosons are stable due to a residual discrete symmetry and serve as the dark matter candidate. We search the param...
1712.00793v2
2017-12-06
Explain DAMPE Results by Dark Matter With Hierarchical Lepton-Specific Yukawa Interactions
We propose to interpret the DAMPE electron excess at 1.5 TeV through scalar or Dirac fermion dark matter (DM) annihilation with doubly charged scalar mediators that have lepton-specific Yukawa couplings. Hierarchy of such lepton-specific Yukawa couplings is generated through the Froggatt-Nielsen mechanism, so that the ...
1712.02381v3
2017-12-08
Kinetic damping in the spectra of the spherical impedance probe
The impedance probe is a measurement device to measure plasma parameter like electron density. It consists of one electrode connected to a network analyzer via a coaxial cable and is immersed into a plasma. A bias potential superposed with an alternating potential is applied to the electrode and the response of the pla...
1712.03126v1
2017-12-14
DAMPE squib? Significance of the 1.4 TeV DAMPE excess
We present a Bayesian and frequentist analysis of the DAMPE charged cosmic ray spectrum. The spectrum, by eye, contained a spectral break at about 1 TeV and a monochromatic excess at about 1.4 TeV. The break was supported by a Bayes factor of about $10^{10}$ and we argue that the statistical significance was resounding...
1712.05089v1
2017-12-15
Radiative Seesaw Model and DAMPE Excess from Leptophilic Gauge Symmetry
In the light of the $e^{+}+e^{-}$ excess observed by DAMPE experiment, we propose an anomaly-free radiative seesaw model with an alternative leptophilic $U(1)_X$ gauge symmetry. In the model, only right-handed leptons are charged under $U(1)_X$ symmetry. The tiny Dirac neutrino masses are generated at one-loop level an...
1712.05722v2
2017-12-19
Damping of Josephson oscillations in strongly correlated one-dimensional atomic gases
We study Josephson oscillations of two strongly correlated one-dimensional bosonic clouds separated by a localized barrier. Using a quantum-Langevin approach and the exact Tonks-Girardeau solution in the impenetrable-boson limit, we determine the dynamical evolution of the particle-number imbalance, displaying an effec...
1712.06949v2
2017-12-21
The gluon condensation effects in the DAMPE cosmic ray spectrum of electrons and positrons
Gluons dominate the proton behavior at high energy collisions, they can be condensed at ultra high energy. The collisions of the accelerated high energy protons with interplanetary matter in cosmic rays will produce a huge number of secondary particles at the gluon condensate energy region, which break the primary powe...
1712.07868v2
2017-12-22
Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: The Goldstone phonon and its Landau damping
We develop a microscopic theory of dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional approach - the so-called superfluid local density approximation. The accuracy of the t...
1712.08318v1
2017-12-22
A brief summary of nonlinear echoes and Landau damping
In this expository note we review some recent results on Landau damping in the nonlinear Vlasov equations, focusing specifically on the recent construction of nonlinear echo solutions by the author [arXiv:1605.06841] and the associated background. These solutions show that a straightforward extension of Mouhot and Vill...
1712.08498v1
2017-12-28
Coherence evolution in two-qubit system going through amplitude damping channel
In this paper, we analyze the evolution of quantum coherence in a two-qubit system going through the amplitude damping channel. After they have gone through this channel many times, we analyze the systems with respect to the coherence of their output states. When only one subsystem goes through the channel, frozen cohe...
1712.09769v1
2018-01-09
Balanced Truncation Model Reduction of a Nonlinear Cable-Mass PDE System with Interior Damping
We consider model order reduction of a nonlinear cable-mass system modeled by a 1D wave equation with interior damping and dynamic boundary conditions. The system is driven by a time dependent forcing input to a linear mass-spring system at one boundary. The goal of the model reduction is to produce a low order model t...
1801.02792v1
2018-01-18
Analytic solutions to various dissipation models of the simple and driven quantum harmonic oscillator
We obtain analytic solutions to various models of dissipation of the quantum harmonic oscillator, employing a simple method in the Wigner function Fourier transform description of the system; and study as an exemplification, the driven open quantum harmonic oscillator. The environmental models we use are based on optic...
1801.05943v1
2018-02-12
Chance-constrained optimal location of damping control actuators under wind power variability
This paper proposes a new probabilistic energy-based method to determine the optimal installation location of electronically-interfaced resources (EIRs) considering dynamic reinforcement under wind variability in systems with high penetration of wind power. The oscillation energy and total action are used to compare th...
1802.04354v1
2018-02-21
On the vibron-polaron damping in quasi 1D macromolecular chains
The properties of the intramolecular vibrational excitation (vibron) in a quasi 1D macromolecular structure are studied. It is supposed that due to the vibron interaction with optical phonon modes, a vibron might form partially dressed small polaron states. The properties of these states are investigated in dependence ...
1802.07424v1
2018-02-27
Impact of damping on superconducting gap oscillations induced by intense Terahertz pulses
We investigate the interplay between gap oscillations and damping in the dynamics of superconductors taken out of equilibrium by strong optical pulses with sub-gap Terahertz frequencies. A semi-phenomenological formalism is developed to include the damping within the electronic subsystem that arises from effects beyond...
1802.09711v2
2018-02-28
Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
We study experimentally various physical limitations and technical imperfections that lead to damping and finite contrast of optically-driven Rabi oscillations between ground and Rydberg states of a single atom. Finite contrast is due to preparation and detection errors and we show how to model and measure them accurat...
1802.10424v1
2018-03-07
Connecting dissipation and noncommutativity: A Bateman system case study
Quantum effects on a pair of Bateman oscillators embedded in an ambient noncommutative space (Moyal plane) is analyzed using both path integral and canonical quantization schemes within the framework of Hilbert-Schmidt operator formulation. We adopt a method which is distinct from the one which employs 't Hooft's schem...
1803.03334v1
2018-03-18
A machine learning method to separate cosmic ray electrons from protons from 10 to 100 GeV using DAMPE data
DArk Matter Particle Explorer (DAMPE) is a general purpose high energy cosmic ray and gamma ray observatory, aiming to detect high energy electrons and gammas in the energy range 5 GeV to 10 TeV and hundreds of TeV for nuclei. This paper provides a method using machine learning to identify electrons and separate them f...
1803.06628v2
2018-03-20
Estimating Participation Factors and Mode Shapes for Electromechanical Oscillations in Ambient Conditions
In this paper, a new technique is applied to conduct mode identification using ambient measurement data. The proposed hybrid measurement- and model-based method can accurately estimate the system state matrix in ambient conditions, the eigenvalues and eigenvectors of which readily provide all the modal knowledge includ...
1803.07264v1
2018-03-21
Globally Stable Output Feedback Synchronization of Teleoperation with Time-Varying Delays
This paper presents a globally stable teleoperation control strategy for systems with time-varying delays that eliminates the need for velocity measurements through novel augmented Immersion and Invariance velocity observers. The new observers simplify a recent constructive Immersion and Invariance velocity observer to...
1803.08159v1
2018-03-29
Stochastic conformal multi-symplectic method for damped stochastic nonlinear Schrodinger equation
In this paper, we propose a stochastic conformal multi-symplectic method for a class of damped stochastic Hamiltonian partial differential equations in order to inherit the intrinsic properties, and apply the numerical method to solve a kind of damped stochastic nonlinear Schrodinger equation with multiplicative noise....
1803.10885v1
2018-04-01
Bounded Connectivity-Preserving Coordination of Networked Euler-Lagrange Systems
This paper derives sufficient conditions for bounded distributed connectivity-preserving coordination of Euler-Lagrange systems with only position measurements and with system uncertainties, respectively. The paper proposes two strategies that suitably scale conventional gradient-based controls to account for the actua...
1804.00333v1
2018-04-17
Modelling linewidths of Kepler red giants in NGC 6819
We present a comparison between theoretical, frequency-dependent, damping rates and linewidths of radial-mode oscillations in red-giant stars located in the open cluster NGC 6819. The calculations adopt a time-dependent non-local convection model, with the turbulent pressure profile being calibrated to results of 3D hy...
1804.06255v1
2018-04-24
$\text{Co}_{25}\text{Fe}_{75}$ Thin Films with Ultralow Total Damping
We measure the dynamic properties of $\text{Co}_{25}\text{Fe}_{75}$ thin films grown by dc magnetron sputtering. Using ferromagnetic resonance spectroscopy, we demonstrate an ultralow total damping parameter in the out-of-plane configuration of < 0.0013, whereas for the in-plane configuration we find a minimum total da...
1804.08786v1
2018-04-03
Generalisation of Gilbert damping and magnetic inertia parameter as a series of higher-order relativistic terms
The phenomenological Landau-Lifshitz-Gilbert (LLG) equation of motion remains as the cornerstone of contemporary magnetisation dynamics studies, wherein the Gilbert damping parameter has been attributed to first-order relativistic effects. To include magnetic inertial effects the LLG equation has previously been extend...
1804.09242v1
2018-05-15
Simple Nonlinear Models with Rigorous Extreme Events and Heavy Tails
Extreme events and the heavy tail distributions driven by them are ubiquitous in various scientific, engineering and financial research. They are typically associated with stochastic instability caused by hidden unresolved processes. Previous studies have shown that such instability can be modeled by a stochastic dampi...
1805.05615v3
2018-05-29
Gilbert damping in non-collinear magnetic system
The modification of the magnetization dissipation or Gilbert damping caused by an inhomogeneous magnetic structure and expressed in terms of a wave vector dependent tensor $\underline{\alpha}(\vec{q})$ is investigated by means of linear response theory. A corresponding expression for $\underline{\alpha}(\vec{q})$ in te...
1805.11468v1
2018-06-18
Theoretical interpretations of DAMPE first results: a critical review
The DAMPE experiment recently published its first results on the lepton ($e^+ + e^-$) cosmic-ray (CRs) flux. These results are of importance since they account for the first direct detection of the lepton break around the energy of 1 TeV and confirm the discoveries of ground-based Cherenkov detectors. Meanwhile they re...
1806.06534v1
2018-06-22
Optimal Design of Virtual Inertia and Damping Coefficients for Virtual Synchronous Machines
Increased penetration of inverter-connected renewable energy sources (RES) in the power system has resulted in a decrease in available rotational inertia which serves as an immediate response to frequency deviation due to disturbances. The concept of virtual inertia has been proposed to combat this decrease by enabling...
1806.08488v1
2018-07-17
Bipartite and Tripartite Entanglement for Three Damped Driven Qubits
We investigate bipartite and tripartite entanglement in an open quantum system, specifically three qubits, all of which are damped, and one of which is driven. We adapt a systematic approach in calculating the entanglement of various bipartite splits usinga generalized concurrence as an indicator of entanglement. Our c...
1807.06178v1
2018-07-17
Boundary-to-Displacement Asymptotic Gains for Wave Systems With Kelvin-Voigt Damping
We provide estimates for the asymptotic gains of the displacement of a vibrating string with endpoint forcing, modeled by the wave equation with Kelvin-Voigt and viscous damping and a boundary disturbance. Two asymptotic gains are studied: the gain in the L2 spatial norm and the gain in the spatial sup norm. It is show...
1807.06549v1
2018-07-24
Stabilization of an unstable wave equation using an infinite dimensional dynamic controller
This paper deals with the stabilization of an anti-stable string equation with Dirichlet actuation where the instability appears because of the uncontrolled boundary condition. Then, infinitely many unstable poles are generated and an infinite dimensional control law is therefore proposed to exponentially stabilize the...
1807.08999v2
2018-07-24
Interplay between intermittency and dissipation in collisionless plasma turbulence
We study the damping of collisionless Alfv\'enic turbulence by two mechanisms: stochastic heating (whose efficiency depends on the local turbulence amplitude $\delta z_\lambda$) and linear Landau damping (whose efficiency is independent of $\delta z_\lambda$), describing in detail how they affect and are affected by in...
1807.09301v2
2018-07-31
Input-to-State Stability of a Clamped-Free Damped String in the Presence of Distributed and Boundary Disturbances
This note establishes the Exponential Input-to-State Stability (EISS) property for a clamped-free damped string with respect to distributed and boundary disturbances. While efficient methods for establishing ISS properties for distributed parameter systems with respect to distributed disturbances have been developed du...
1807.11696v2
2018-07-31
Spin absorption at ferromagnetic-metal/platinum-oxide interface
We investigate the absorption of a spin current at a ferromagnetic-metal/Pt-oxide interface by measuring current-induced ferromagnetic resonance. The spin absorption was characterized by the magnetic damping of the heterostructure. We show that the magnetic damping of a Ni$_{81}$Fe$_{19}$ film is clearly enhanced by at...
1807.11806v1
2018-08-16
Stability analysis of dissipative systems subject to nonlinear damping via Lyapunov techniques
In this article, we provide a general strategy based on Lyapunov functionals to analyse global asymptotic stability of linear infinite-dimensional systems subject to nonlinear dampings under the assumption that the origin of the system is globally asymp-totically stable with a linear damping. To do so, we first charact...
1808.05370v1
2018-08-30
The influence of the coefficients of a system of coupled wave equations with fractional damping on its stabilization
In this work, we consider a system of two wave equations coupled by velocities in one-dimensional space, with one boundary fractional damping. First, we show that the system is strongly asymptotically stable if and only if the coupling parameter b of the two equations is outside a discrete set of exceptional real value...
1808.10285v4
2018-09-05
On the forced Euler and Navier-Stokes equations: Linear damping and modified scattering
We study the asymptotic behavior of the forced linear Euler and nonlinear Navier-Stokes equations close to Couette flow in a periodic channel. As our main result we show that for smooth time-periodic forcing linear inviscid damping persists, i.e. the velocity field (weakly) asymptotically converges. However, stability ...
1809.01729v1
2018-09-12
Theory of bifurcation amplifiers utilizing the nonlinear dynamical response of an optically damped mechanical oscillator
We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is driven below its resonance, providing optical damping of the mechanical oscillatio...
1809.04592v2
2018-09-13
Second order asymptotical regularization methods for inverse problems in partial differential equations
We develop Second Order Asymptotical Regularization (SOAR) methods for solving inverse source problems in elliptic partial differential equations with both Dirichlet and Neumann boundary data. We show the convergence results of SOAR with the fixed damping parameter, as well as with a dynamic damping parameter, which is...
1809.04971v2
2018-09-24
Oscillation Damping Control of Pendulum-like Manipulation Platform using Moving Masses
This paper presents an approach to damp out the oscillatory motion of the pendulum-like hanging platform on which a robotic manipulator is mounted. To this end, moving masses were installed on top of the platform. In this paper, asymptotic stability of the platform (which implies oscillation damping) is achieved by des...
1809.08819v1
2018-09-25
Theory of damping in magnetization dynamics, dispelling a myth and pointing a way forward
There is a widely-held belief amongst theoreticians that the Gilbert damping parameter {\alpha} in magnetization dynamics is infinite for a pure metal at T=0. The basic error leading to this belief is pointed out explicitly and the various methods of calculation used are viewed in a unified way based on the Lorentzian ...
1809.09429v1
2018-07-16
A unified N-SECE strategy for highly coupled piezoelectric energy scavengers
This paper proposes a novel vibration energy harvesting strategy based on an extension of the Synchronous Electric Charge Extraction (SECE) approach, enabling both the maximization of the harvested power and a consequent bandwidth enlargement in the case of highly coupled/lightly damped piezoelectric energy harvesters....
1809.09685v1
2018-10-15
Localized spin waves in isolated $kπ$ skyrmions
The localized magnon modes of isolated $k\pi$ skyrmions on a field-polarized background are analyzed based on the Landau-Lifshitz-Gilbert equation within the terms of an atomistic classical spin model, with system parameters based on the Pd/Fe biatomic layer on Ir(111). For increasing skyrmion order $k$ a higher number...
1810.06471v1
2018-10-24
Nearly isotropic spin-pumping related Gilbert damping in Pt/Ni$_{81}$Fe$_{19}$/Pt
A recent theory by Chen and Zhang [Phys. Rev. Lett. 114, 126602 (2015)] predicts strongly anisotropic damping due to interfacial spin-orbit coupling in ultrathin magnetic films. Interfacial Gilbert-type relaxation, due to the spin pumping effect, is predicted to be significantly larger for magnetization oriented parall...
1810.10595v4
2018-10-24
Justification of the Lugiato-Lefever model from a damped driven $φ^4$ equation
The Lugiato-Lefever equation is a damped and driven version of the well-known nonlinear Schr\"odinger equation. It is a mathematical model describing complex phenomena in dissipative and nonlinear optical cavities. Within the last two decades, the equation has gained a wide attention as it becomes the basic model descr...
1810.10630v1
2018-10-31
Anisotropic and controllable Gilbert-Bloch dissipation in spin valves
Spin valves form a key building block in a wide range of spintronic concepts and devices from magnetoresistive read heads to spin-transfer-torque oscillators. We elucidate the dependence of the magnetic damping in the free layer on the angle its equilibrium magnetization makes with that in the fixed layer. The spin pum...
1811.00020v2
2018-11-06
Decay properties and asymptotic profiles for elastic waves with Kelvin-Voigt damping in 2D
In this paper we consider elastic waves with Kelvin-Voigt damping in 2D. For the linear problem, applying pointwise estimates of the partial Fourier transform of solutions in the Fourier space and asymptotic expansions of eigenvalues and their eigenprojections, we obtain sharp energy decay estimates with additional $L^...
1811.02223v3
2018-12-06
Damping and Anti-Damping Phenomena in Metallic Antiferromagnets: An ab-initio Study
We report on a first principles study of anti-ferromagnetic resonance (AFMR) phenomena in metallic systems [MnX (X=Ir,Pt,Pd,Rh) and FeRh] under an external electric field. We demonstrate that the AFMR linewidth can be separated into a relativistic component originating from the angular momentum transfer between the col...
1812.02844v2
2018-12-12
Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving
We perform a numerical study of the initial-boundary value problem, with vanishing boundary conditions, of a driven nonlinear Schr\"odinger equation (NLS) with linear damping and a Gaussian driver. We identify Peregrine-like rogue waveforms, excited by two different types of vanishing initial data decaying at an algebr...
1812.05439v3
2018-12-13
Stability of elastic transmission systems with a local Kelvin-Voigt damping
In this paper, we consider the longitudinal and transversal vibrations of the transmission Euler-Bernoulli beam with Kelvin-Voigt damping distributed locally on any subinterval of the region occupied by the beam and only in one side of the transmission point. We prove that the semigroup associated with the equation for...
1812.05923v1
2018-12-13
Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping
We consider a beam and a wave equations coupled on an elastic beam through transmission conditions. The damping which is locally distributed acts through one of the two equations only; its effect is transmitted to the other equation through the coupling. First we consider the case where the dissipation acts through the...
1812.05924v1
2018-12-20
Sound attenuation in stable glasses
Understanding the difference between universal low-temperature properties of amorphous and crystalline solids requires an explanation of the stronger damping of long-wavelength phonons in amorphous solids. A longstanding sound attenuation scenario, resulting from a combination of experiments, theories, and simulations,...
1812.08736v2
2018-12-27
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suitable functionals proposed by Lai-Takamura for the corresponding single semilinear equation, we employ Kato's lemma to derive the blow-up res...
1812.10653v1
2019-01-05
Simulations of wobble damping in viscoelastic rotators
Using a damped mass-spring model, we simulate wobble of spinning homogeneous viscoelastic ellipsoids undergoing non-principal axis rotation. Energy damping rates are measured for oblate and prolate bodies with different spin rates, spin states, viscoelastic relaxation timescales, axis ratios, and strengths. Analytical ...
1901.01439v3
2019-01-16
Laboratory investigations of the bending rheology of floating saline ice, and physical mechanisms of wave damping, in the HSVA ice tank
An experiment on the propagation of flexural-gravity waves was performed in the HSVA ice tank. Physical characteristics of the water-ice system were measured in different locations in the tank during the tests, with a number of sensors deployed in the water, on the ice and in the air. Water velocity was measured with a...
1901.05333v1
2019-01-24
Generalized framework for testing gravity with gravitational-wave propagation. III. Future prospect
The properties of gravitational-wave (GW) propagation are modified in alternative theories of gravity and are crucial observables to test gravity at cosmological distance. The propagation speed has already been measured from GW170817 so precisely and pinned down to the speed of light, while other properties of GW propa...
1901.08249v2
2019-01-31
Perturbed Markov Chains and Information Networks
The paper is devoted to studies of perturbed Markov chains commonly used for description of information networks. In such models, the matrix of transition probabilities for the corresponding Markov chain is usually regularised by adding a special damping matrix multiplied by a small damping (perturbation) parameter $\v...
1901.11483v3
2019-02-12
Ultra-low damping in lift-off structured yttrium iron garnet thin films
We show that using maskless photolithography and the lift-off technique, patterned yttrium iron garnet thin films possessing ultra-low Gilbert damping can be accomplished. The films of 70 nm thickness were grown on (001)-oriented gadolinium gallium garnet by means of pulsed laser deposition, and they exhibit high cryst...
1902.04605v1
2019-02-14
Dynamic Interconnection and Damping Injection for Input-to-State Stable Bilateral Teleoperation
In bilateral teleoperation, the human who operates the master and the environment which interacts with the slave are part of the force feedback loop. Yet, both have time-varying and unpredictable dynamics and are challenging to model. A conventional strategy for sidestepping the demand for their models in the stability...
1902.05500v1
2019-02-15
Evidence for Electron Landau Damping in Space Plasma Turbulence
How turbulent energy is dissipated in weakly collisional space and astrophysical plasmas is a major open question. Here, we present the application of a field-particle correlation technique to directly measure the transfer of energy between the turbulent electromagnetic field and electrons in the Earth's magnetosheath,...
1902.05785v1
2019-02-20
CoFeB/MgO/CoFeB structures with orthogonal easy axes: perpendicular anisotropy and damping
We report on the Gilbert damping parameter $\alpha$, the effective magnetization $4\pi M_{eff}$, and the asymmetry of the $g$-factor in bottom-CoFeB(0.93~nm)/MgO(0.90--1.25~nm)/CoFeB(1.31~nm)-top as-deposited systems. Magnetization of CoFeB layers exhibits a specific noncollinear configuration with orthogonal easy ax...
1902.07563v1
2019-02-22
Thermal induced monochromatic microwave generation in magnon-polariton
We propose thermal induced generation of monochromatic microwave radiation in magnon-polariton. Mechanism of thermal to microwave energy transformation is based on intrinsic energy loss compensation of coupled magnon and microwave cavity oscillators by thermal induced "negative damping". A singularity at an exceptional...
1902.08383v1
2019-03-04
Nonlinear inviscid damping for zero mean perturbation of the 2D Euler Couette flow
In this note we revisit the proof of Bedrossian and Masmoudi [arXiv:1306.5028] about the inviscid damping of planar shear flows in the 2D Euler equations under the assumption of zero mean perturbation. We prove that a small perturbation to the 2D Euler Couette flow in $\mathbb{T}\times \mathbb{R}$ strongly converge to ...
1903.01543v1
2019-03-10
Orbital stabilization of nonlinear systems via Mexican sombrero energy shaping and pumping-and-damping injection
In this paper we show that a slight modification to the widely popular interconnection and damping assignment passivity-based control method---originally proposed for stabilization of equilibria of nonlinear systems---allows us to provide a solution to the more challenging orbital stabilization problem. Two different, ...
1903.04070v3
2019-03-11
Impact of thermal effects on the evolution of eccentricity and inclination of low-mass planets
Using linear perturbation theory, we evaluate the time-dependent force exerted on an eccentric and inclined low-mass planet embedded in a gaseous protoplanetary disc with finite thermal diffusivity $\chi$. We assume the eccentricity and inclination to be small compared to the size of the thermal lobes $\lambda\sim(\chi...
1903.04470v2
2019-03-14
The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation
For the linear damped wave equation (DW), the $L^p$-$L^q$ type estimates have been well studied. Recently, Watanabe showed the Strichartz estimates for DW when $d=2,3$. In the present paper, we give Strichartz estimates for DW in higher dimensions. Moreover, by applying the estimates, we give the local well-posedness o...
1903.05887v1
2019-04-17
Decays for Kelvin-Voigt damped wave equations I : the black box perturbative method
We show in this article how perturbative approaches~from our work with Hitrik (see also the work by Anantharaman-Macia) and the {\em black box} strategy from~ our work with Zworski allow to obtain decay rates for Kelvin-Voigt damped wave equations from quite standard resolvent estimates : Carleman estimates or geometri...
1904.08318v2
2019-04-17
Non-Hermitian skin effect and chiral damping in open quantum systems
One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be well described by the effective non-Hermitian Hamiltonians, while long-time dyna...
1904.08432v2
2019-04-19
Plasmon-Emitter Interactions at the Nanoscale
Plasmon-emitter interactions are of paramount importance in modern nanoplasmonics and are generally maximal at short emitter-surface separations. However, when the separation falls below 10-20 nm, the classical theory progressively deteriorates due to its neglect of quantum mechanical effects such as nonlocality, elect...
1904.09279v1
2019-05-08
Discrete Energy behavior of a damped Timoshenko system
In this article, we consider a one-dimensional Timoshenko system subject to different types of dissipation (linear and nonlinear dampings). Based on a combination between the finite element and the finite difference methods, we design a discretization scheme for the different Timoshenko systems under consideration. We ...
1905.03050v1