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2021-04-15
Flexural wave modulation and mitigation in airfoils using acoustic black holes
This study introduces a framework for the design and implementation of acoustic black holes (ABHs) in airfoils. A generalized multi-parameter damped-ABH generation function is mapped onto NACA series airfoils. Representative geometries and a uniformly distributed baseline, all with the same mass of structure and dampin...
2104.07374v1
2021-04-20
Entanglement robustness via spatial deformation of identical particle wave functions
We address the problem of entanglement protection against surrounding noise by a procedure suitably exploiting spatial indistinguishability of identical subsystems. To this purpose, we take two initially separated and entangled identical qubits interacting with two independent noisy environments. Three typical models o...
2104.09714v1
2021-04-22
Dissipation and fluctuations in elongated bosonic Josephson junctions
We investigate the dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This coupling of Josephson and sound modes gives rise to a damped and stochastic Langevin ...
2104.11259v2
2021-04-24
The large-period limit for equations of discrete turbulence
We consider the damped/driven cubic NLS equation on the torus of a large period $L$ with a small nonlinearity of size $\lambda$, a properly scaled random forcing and dissipation. We examine its solutions under the subsequent limit when first $\lambda\to 0$ and then $L\to \infty$. The first limit, called the limit of di...
2104.11967v2
2021-05-13
Global Solutions of Three-dimensional Inviscid MHD Fluids with Velocity Damping in Horizontally Periodic Domains
The \emph{two-dimensional} (2D) existence result of global(-in-time) solutions for the motion equations of incompressible, inviscid, non-resistive magnetohydrodynamic (MHD) fluids with velocity damping had been established in [Wu--Wu--Xu, SIAM J. Math. Anal. 47 (2013), 2630--2656]. This paper further studies the existe...
2105.06080v1
2021-05-13
On Inhibition of Rayleigh--Taylor Instability by Horizontal Magnetic Field in an Inviscid MHD Fluid with Velocity Damping
It is still an open problem whether the inhibition phenomenon of Rayleigh--Taylor (RT) instability by horizontal magnetic field can be mathematically proved in a non-resistive magnetohydrodynamic (MHD) fluid in a two-dimensional (2D) horizontal slab domain, since it had been roughly verified by a 2D linearized motion e...
2105.06472v1
2021-05-14
Quantum Langevin dynamics of a charged particle in a magnetic field : Response function, position-velocity and velocity autocorrelation functions
We use the Quantum Langevin equation as a starting point to study the response function, the position-velocity correlation function and the velocity autocorrelation function of a charged Quantum Brownian particle in the presence of a magnetic field and linearly coupled to a heat bath via position coordinate. We study t...
2105.07036v2
2021-05-18
Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case
We are concerned with quasilinear symmetrizable partially dissipative hyperbolic systems in the whole space $\mathbb{R}^d$ with $d\geq2$. Following our recent work [10] dedicated to the one-dimensional case, we establish the existence of global strong solutions and decay estimates in the critical regularity setting whe...
2105.08333v1
2021-05-24
Response Dynamics of Alkali Metal-Noble Gas Hybrid Trispin System
With numerical calculation of coupled Bloch equations, we have simulated the spin dynamics of nuclear magnetic resonance gyroscope based on alkali metal-noble gas hybrid trispin system. From the perspective of damping harmonic oscillator, a thorough analysis of the response dynamics is demonstrated. The simulation resu...
2105.11124v2
2021-05-26
Temperature Damping of Magneto-Intersubband Resistance Oscillations in Magnetically Entangled Subbands
Magneto-intersubband resistance oscillations (MISO) of highly mobile 2D electrons in symmetric GaAs quantum wells with two populated subbands are studied in magnetic fields tilted from the normal to the 2D electron layer at different temperatures $T$. Decrease of MISO amplitude with temperature increase is observed. At...
2105.12263v1
2021-05-26
A statistical study of propagating MHD kink waves in the quiescent corona
The Coronal Multi-channel Polarimeter (CoMP) has opened up exciting opportunities to probe transverse MHD waves in the Sun's corona. The archive of CoMP data is utilised to generate a catalogue of quiescent coronal loops that can be used for studying propagating kink waves. The catalogue contains 120 loops observed bet...
2105.12451v1
2021-05-31
Machine-Learning Non-Conservative Dynamics for New-Physics Detection
Energy conservation is a basic physics principle, the breakdown of which often implies new physics. This paper presents a method for data-driven "new physics" discovery. Specifically, given a trajectory governed by unknown forces, our Neural New-Physics Detector (NNPhD) aims to detect new physics by decomposing the for...
2106.00026v2
2021-06-06
Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation
We consider a singular limit problem from the damped wave equation with a power type nonlinearity to the corresponding heat equation. We call our singular limit problem non-delay limit. Our proofs are based on the argument for non-relativistic limit from the nonlinear Klein-Gordon equation to the nonlinear Schr\"{o}din...
2106.03030v1
2021-06-10
Symmetrical emergence of extreme events at multiple regions in a damped and driven velocity-dependent mechanical system
In this work, we report the emergence of extreme events in a damped and driven velocity-dependent mechanical system. We observe that the extreme events emerge at multiple points. We further notice that the extreme events occur symmetrically in both positive and negative values at all the points of emergence. We statist...
2106.05510v2
2021-06-11
On global existence for semilinear wave equations with spacedependent critical damping
The global existence for semilinear wave equations with space-dependent critical damping $\partial_t^2u-\Delta u+\frac{V_0}{|x|}\partial_t u=f(u)$ in an exterior domain is dealt with, where $f(u)=|u|^{p-1}u$ and $f(u)=|u|^p$ are in mind. Existence and non-existence of global-in-time solutions are discussed. To obtain g...
2106.06107v1
2021-06-13
Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation
We consider a stochastic nonlinear defocusing Schr\"{o}dinger equation with zero-order linear damping, where the stochastic forcing term is given by a combination of a linear multiplicative noise in the Stratonovich form and a nonlinear noise in the It\^o form. We work at the same time on compact Riemannian manifolds w...
2106.07043v4
2021-06-13
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball
In this paper, we consider the initial-boundary value problems with several fundamental boundary conditions (the Dirichlet/Neumann/Robin boundary condition) for the multi-component system of semi-linear classical damped wave equations outside a ball. By applying a test function approach with a judicious choice of test ...
2106.07050v2
2021-06-14
An Overview of Energy-Optimal Impedance Control of Cooperative Robot Manipulators
An impedance-based control scheme is introduced for cooperative manipulators grasping a rigid load. The position and orientation of the load are to be maintained close to a desired trajectory, trading off tracking accuracy by low energy consumption and maintaining stability. To this end, the augmented dynamics of the r...
2106.07491v1
2021-06-17
Adaptive Low-Rank Regularization with Damping Sequences to Restrict Lazy Weights in Deep Networks
Overfitting is one of the critical problems in deep neural networks. Many regularization schemes try to prevent overfitting blindly. However, they decrease the convergence speed of training algorithms. Adaptive regularization schemes can solve overfitting more intelligently. They usually do not affect the entire networ...
2106.09677v1
2021-06-23
Effect of different additional $L^{m}$ regularity on semi-linear damped $σ$-evolution models
The motivation of the present study is to discuss the global (in time) existence of small data solutions to the following semi-linear structurally damped $\sigma$-evolution models: \begin{equation*} \partial_{tt}u+(-\Delta)^{\sigma}u+(-\Delta)^{\sigma/2}\partial_{t}u=\left|u\right| ^{p}, \ \sigma\geq 1, \ \ p>1, \end{e...
2106.12286v1
2021-06-29
Damping effect in innovation processes: case studies from Twitter
Understanding the innovation process, that is the underlying mechanisms through which novelties emerge, diffuse and trigger further novelties is undoubtedly of fundamental importance in many areas (biology, linguistics, social science and others). The models introduced so far satisfy the Heaps' law, regarding the rate ...
2106.15528v1
2021-07-01
Local available quantum correlations of X states: The symmetric and anti-symmetric cases
Local available quantum correlations (LAQC), as defined by Mundarain et al., are analyzed for 2-qubit X states with local Bloch vectors of equal magnitude. Symmetric X-states are invariant under the exchange of subsystems, hence having the same {local} Bloch vector. On the other hand, anti-symmetric X states have {loca...
2107.00158v3
2021-07-06
Dynamical System Parameter Identification using Deep Recurrent Cell Networks
In this paper, we investigate the parameter identification problem in dynamical systems through a deep learning approach. Focusing mainly on second-order, linear time-invariant dynamical systems, the topic of damping factor identification is studied. By utilizing a six-layer deep neural network with different recurrent...
2107.02427v1
2021-07-14
Explaining the pseudogap through damping and antidamping on the Fermi surface by imaginary spin scattering
The mechanism of the pseudogap observed in hole-doped cuprates remains one of the central puzzles in condensed matter physics. We analyze this phenomenon via a Feynman-diagrammatic inspection of the Hubbard model. Our approach captures the pivotal interplay between Mott localization and Fermi surface topology beyond we...
2107.06529v2
2021-07-17
Blow--up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources
The aim of this paper is to give global nonexistence and blow--up results for the problem $$ \begin{cases} u_{tt}-\Delta u+P(x,u_t)=f(x,u) \qquad &\text{in $(0,\infty)\times\Omega$,}\\ u=0 &\text{on $(0,\infty)\times \Gamma_0$,}\\ u_{tt}+\partial_\nu u-\Delta_\Gamma u+Q(x,u_t)=g(x,u)\qquad &\text{on $(0,\infty)\times \...
2107.08213v2
2021-07-22
Collisional Growth Within the Solar System's Primordial Planetesimal Disk and the Timing of the Giant Planet Instability
The large scale structure of the Solar System has been shaped by a transient dynamical instability that may have been triggered by the interaction of the giants planets with a massive primordial disk of icy debris. In this work, we investigate the conditions under which this primordial disk could have coalesced into pl...
2107.10403v1
2021-07-29
$n$-dimensional PDM-damped harmonic oscillators: Linearizability, and exact solvability
We consider position-dependent mass (PDM) Lagrangians/Hamiltonians in their standard textbook form, where the long-standing \emph{gain-loss balance} between the kinetic and potential energies is kept intact to allow conservation of total energy (i.e., $L=T-V$, $H=T+V$, and $dH/dt=dE/dt=0$). Under such standard settings...
2107.14617v1
2021-08-02
Interplay of periodic dynamics and noise: insights from a simple adaptive system
We study the dynamics of a simple adaptive system in the presence of noise and periodic damping. The system is composed by two paths connecting a source and a sink, the dynamics is governed by equations that usually describe food search of the paradigmatic Physarum polycephalum. In this work we assume that the two path...
2108.01451v3
2021-08-06
Adjusting PageRank parameters and Comparing results
The effect of adjusting damping factor {\alpha} and tolerance {\tau} on iterations needed for PageRank computation is studied here. Relative performance of PageRank computation with L1, L2, and L{\infty} norms used as convergence check, are also compared with six possible mean ratios. It is observed that increasing the...
2108.02997v1
2021-08-06
Magnon transport in $\mathrm{\mathbf{Y_3Fe_5O_{12}}}$/Pt nanostructures with reduced effective magnetization
For applications making use of magnonic spin currents damping effects, which decrease the spin conductivity, have to be minimized. We here investigate the magnon transport in an yttrium iron garnet thin film with strongly reduced effective magnetization. We show that in a three-terminal device the effective magnon cond...
2108.03263v1
2021-08-12
On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order
We study semilinear damped wave equations with power nonlinearity $|u|^p$ and initial data belonging to Sobolev spaces of negative order $\dot{H}^{-\gamma}$. In the present paper, we obtain a new critical exponent $p=p_{\mathrm{crit}}(n,\gamma):=1+\frac{4}{n+2\gamma}$ for some $\gamma\in(0,\frac{n}{2})$ and low dimensi...
2108.05667v1
2021-08-25
Numerical investigation of non-condensable gas effect on vapor bubble collapse
We numerically investigate the effect of non-condensable gas inside a vapor bubble on bubble dynamics, collapse pressure and pressure impact of spherical and aspherical bubble collapses. Free gas inside a vapor bubble has a damping effect that can weaken the pressure wave and enhance the bubble rebound. To estimate thi...
2108.11297v1
2021-08-23
PDM damped-driven oscillators: exact solvability, classical states crossings, and self-crossings
Within the standard Lagrangian and Hamiltonian setting, we consider a position-dependent mass (PDM) classical particle performing a damped driven oscillatory (DDO) motion under the influence of a conservative harmonic oscillator force field $V\left( x\right) =\frac{1}{2}\omega ^{2}Q\left( x\right) x^{2}$ and subjected ...
2108.13924v1
2021-09-06
A well-balanced oscillation-free discontinuous Galerkin method for shallow water equations
In this paper, we develop a well-balanced oscillation-free discontinuous Galerkin (OFDG) method for solving the shallow water equations with a non-flat bottom topography. One notable feature of the constructed scheme is the well-balanced property, which preserves exactly the hydrostatic equilibrium solutions up to mach...
2109.02193v1
2021-09-16
Landau Modes are Eigenmodes of Stellar Systems in the Limit of Zero Collisions
We consider the spectrum of eigenmodes in a stellar system dominated by gravitational forces in the limit of zero collisions. We show analytically and numerically using the Lenard-Bernstein collision operator that the Landau modes, which are not true eigenmodes in a strictly collisionless system (except for the Jeans u...
2109.07806v2
2021-09-16
Stabilization of physical systems via saturated controllers with only partial state measurements
This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based control, the methodology consists of two steps: energy shaping and damping injection. ...
2109.08111v2
2021-09-15
Universal relations between the quasinormal modes of neutron star and tidal deformability
Universal relations independently of the equation of state (EOS) for neutron star matter are valuable, if they exist, for extracting the neutron star properties, which generally depend on the EOS. In this study, we newly derive the universal relations predicting the gravitational wave frequencies for the fundamental ($...
2109.08145v2
2021-09-27
Estimating the characteristics of stochastic damping Hamiltonian systems from continuous observations
We consider nonparametric invariant density and drift estimation for a class of multidimensional degenerate resp. hypoelliptic diffusion processes, so-called stochastic damping Hamiltonian systems or kinetic diffusions, under anisotropic smoothness assumptions on the unknown functions. The analysis is based on continuo...
2109.13190v3
2021-10-04
Anomalous temperature dependence of phonon pumping by ferromagnetic resonance in Co/Pd multilayers with perpendicular anisotropy
We demonstrate the pumping of phonons by ferromagnetic resonance in a series of [Co(0.8 nm)/Pd(1.5 nm)]$_n$ multilayers ($n =$ 6, 11, 15, and 20) with large magnetostriction and perpendicular magnetic anisotropy. The effect is shown using broadband ferromagnetic resonance over a range of temperatures (10 to 300 K), whe...
2110.01714v1
2021-10-05
A BSDEs approach to pathwise uniqueness for stochastic evolution equations
We prove strong well-posedness for a class of stochastic evolution equations in Hilbert spaces H when the drift term is Holder continuous. This class includes examples of semilinear stochastic damped wave equations which describe elastic systems with structural damping (for such equations even existence of solutions in...
2110.01994v2
2021-10-07
Quantum speed limit for the maximum coherent state under squeezed environment
The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed par...
2110.03132v1
2021-10-13
Effect of damped oscillations in the inflationary potential
We investigate the effect of damped oscillations on a nearly flat inflationary potential and the features they produce in the power-spectrum and bi-spectrum. We compare the model with the Planck data using Plik unbinned and CamSpec clean likelihood and we are able to obtain noticeable improvement in fit compared to the...
2110.06837v2
2021-10-14
Thermalization in a Spin-Orbit coupled Bose gas by enhanced spin Coulomb drag
An important component of the structure of the atom, the effects of spin-orbit coupling are present in many sub-fields of physics. Most of these effects are present continuously. We present a detailed study of the dynamics of changing the spin-orbit coupling in an ultra-cold Bose gas, coupling the motion of the atoms t...
2110.07094v3
2021-10-15
Superconducting dome in ferroelectric-type materials from soft mode instability
We present a minimal theory of superconductivity enhancement in ferroelectric-type materials. Simple expressions for the optical mode responsible for the soft mode transition are assumed. A key role is played by the anharmonic phonon damping which is modulated by an external control parameter (electron doping or mechan...
2110.08114v2
2021-10-20
Dimensional control of tunneling two level systems in nanoelectromechanical resonators
Tunneling two level systems affect damping, noise and decoherence in a wide range of devices, including nanoelectromechanical resonators, optomechanical systems, and qubits. Theoretically this interaction is usually described within the tunneling state model. The dimensions of such devices are often small compared to t...
2110.10492v1
2021-10-27
Quantum oscillations in interaction-driven insulators
In recent years it has become understood that quantum oscillations of the magnetization as a function of magnetic field, long recognized as phenomena intrinsic to metals, can also manifest in insulating systems. Theory has shown that in certain simple band insulators, quantum oscillations can appear with a frequency se...
2110.14643v2
2021-11-01
Achieving increased Phasor POD performance by introducing a Control-Input Model
In this paper, an enhancement to the well known Phasor Power Oscillation Damper is proposed, aiming to increase its performance. Fundamental to the functioning of this controller is the estimation of a phasor representing oscillatory behaviour at a particular frequency in a measured signal. The phasor is transformed to...
2111.00968v2
2021-11-02
Escape kinetics of self-propelled particles from a circular cavity
We numerically investigate the mean exit time of an inertial active Brownian particle from a circular cavity with single or multiple exit windows. Our simulation results witness distinct escape mechanisms depending upon the relative amplitudes of the thermal length and self-propulsion length compared to the cavity and ...
2111.01324v1
2021-11-09
Quantum Control of the Time-Dependent Interaction between a Three-Level $Ξ$-Type Atom and a Two-Mode Field with Damping Term
The purpose of this paper is to investigate some properties through a three-level $\Xi$-type atom interacting with a two-mode field. We test this system in the presence of the photon assisted atomic phase damping, detuning parameter and Kerr nonlinearity. Also, the coupling parameter modulated to be time-dependent. The...
2111.05449v1
2021-11-10
On the Convergence of Orthogonal/Vector AMP: Long-Memory Message-Passing Strategy
Orthogonal/vector approximate message-passing (AMP) is a powerful message-passing (MP) algorithm for signal reconstruction in compressed sensing. This paper proves the convergence of Bayes-optimal orthogonal/vector AMP in the large system limit. The proof strategy is based on a novel long-memory (LM) MP approach: A fir...
2111.05522v2
2021-11-15
Spectral analysis of a viscoelastic tube conveying fluid with generalised boundary conditions
We study the spectral problem associated with the equation governing the small transverse motions of a viscoelastic tube of finite length conveying an ideal fluid. The boundary conditions considered are of general form, accounting for a combination of elasticity and viscous damping acting on both the slopes and the dis...
2111.07697v5
2021-11-18
Confronting cosmic ray electron and positron excesses with hybrid triplet Higgs portal dark matter
We perform a detailed study of scalar dark matter with triplet Higgs extensions of the Standard Model in order to explain the cosmic ray electron and positron excesses reported by AMS-02 and DAMPE. A detailed analysis of AMS-02 positron excess reveals that for different orderings (normal, inverted and quasi-degenerate)...
2111.09559v3
2021-11-30
Damping via the hyperfine interaction of a spin-rotation mode in a two-dimensional strongly magnetized electron plasma
We address damping of a Goldstone spin-rotation mode emerging in a quantum Hall ferromagnet due to laser pulse excitation. Recent experimental data show that the attenuation mechanism, dephasing of the observed Kerr precession, is apparently related not only to spatial fluctuations of the electron Land\'e factor in the...
2111.15433v1
2021-11-30
Heating of Magnetically Dominated Plasma by Alfvén-Wave Turbulence
Magnetic energy around astrophysical compact objects can strongly dominate over plasma rest mass. Emission observed from these systems may be fed by dissipation of Alfv\'en wave turbulence, which cascades to small damping scales, energizing the plasma. We use 3D kinetic simulations to investigate this process. When the...
2111.15578v2
2021-12-06
Decay properties and asymptotic behaviors for a wave equation with general strong damping
In this paper, we study the Cauchy problem for a wave equation with general strong damping $-\mu(|D|)\Delta u_t$ motivated by [Tao, Anal. PDE (2009)] and [Ebert-Girardi-Reissig, Math. Ann. (2020)]. By employing energy methods in the Fourier space and WKB analysis, we derive decay estimates for solutions under a large c...
2112.02795v1
2021-12-09
UV sensitivity of Casimir energy
We quantitatively estimate the effect of the UV physics on the Casimir energy in a five-dimensional (5D) model on $S^1/Z_2$. If the cutoff scale of the 5D theory is not far from the compactification scale, the UV physics may affect the low energy result. We work in the cutoff regularization scheme by introducing two in...
2112.04708v3
2021-12-11
Landau damping in hybrid plasmonics
Landau Damping (LD) mechanism of the Localized Surface Plasmon (LSP) decay is studied for the hybrid nanoplasmonic (metal core/dielectric shell) structures. It is shown that LD in hybrid structures is strongly affected by permittivity and electron effective mass in the dielectric shell in accordance with previous obser...
2112.06005v1
2021-12-12
Raman and infrared studies of CdSe/CdS core/shell nanoplatelets
The vibrational spectroscopy of semiconductor nanostructures can provide important information on their structure. In this work, experimental Raman and infrared spectra are compared with vibrational spectra of CdSe/CdS core/shell nanoplatelets calculated from first principles using the density functional theory. The ca...
2112.06326v1
2021-12-20
Long-time behavior of solutions to the M1 model with boundray effect
In this paper, we are concerned with the asymptotic behavior of solutions of M1 model on quadrant. From this model, combined with damped compressible Euler equations, a more general system is introduced. We show that the solutions to the initial boundary value problem of this system globally exist and tend time-asympto...
2112.10392v1
2021-12-22
Quantum fisher information protection of N-qubit Greenberger-Horne-Zeilinger state from decoherence
In this paper we study the protection of N-qubit Greenberger-Horne- Zeilinger (GHZ) state and generalized N-qubit GHZ states in amplitude damping channel by means of quantum weak measurement and flip operations. We derive the explicit formulas of the performances of the protection scheme: average fidelity, average prob...
2112.11590v1
2021-12-23
Theory of Harmonic Hall Responses of Spin-Torque Driven Antiferromagnets
Harmonic analysis is a powerful tool to characterize and quantify current-induced torques acting on magnetic materials, but so far it remains an open question in studying antiferromagnets. Here we formulate a general theory of harmonic Hall responses of collinear antiferromagnets driven by current-induced torques inclu...
2112.12772v2
2021-12-24
Total Energy Shaping with Neural Interconnection and Damping Assignment -- Passivity Based Control
In this work we exploit the universal approximation property of Neural Networks (NNs) to design interconnection and damping assignment (IDA) passivity-based control (PBC) schemes for fully-actuated mechanical systems in the port-Hamiltonian (pH) framework. To that end, we transform the IDA-PBC method into a supervised ...
2112.12999v2
2021-12-24
Critical comparison of collisionless fluid models: Nonlinear simulations of parallel firehose instability
Two different fluid models for collisionless plasmas are compared. One is based on the classical Chew-Goldberger-Low (CGL) model that includes a finite Larmor radius (FLR) correction and the Landau closure for the longitudinal mode. Another one takes into account the effect of cyclotron resonance in addition to Landau ...
2112.13077v1
2022-01-04
Second order splitting dynamics with vanishing damping for additively structured monotone inclusions
In the framework of a real Hilbert space, we address the problem of finding the zeros of the sum of a maximally monotone operator $A$ and a cocoercive operator $B$. We study the asymptotic behaviour of the trajectories generated by a second order equation with vanishing damping, attached to this problem, and governed b...
2201.01017v1
2022-01-15
Some Lq(R)-norm decay estimates for two Cauchy systems of type Rao-Nakra sandwich beam with a frictional damping or an infinite memory
In this paper, we consider two systems of type Rao-Nakra sandwich beam in the whole line R with a frictional damping or an infinite memory acting on the Euler-Bernoulli equation. When the speeds of propagation of the two wave equations are equal, we show that the solutions do not converge to zero when time goes to infi...
2201.05881v1
2022-01-24
Pseudospectral continuation for aeroelastic stability analysis
This technical note is concerned with aeroelastic flutter problems: the analysis of aeroelastic systems undergoing airspeed-dependent dynamic instability. Existing continuation methods for parametric stability analysis are based on marching along an airspeed parameter until the flutter point is found - an approach whic...
2201.09816v1
2022-01-26
Enhanced weak force sensing through atom-based coherent noise cancellation in a hybrid cavity optomechanical system
We investigate weak force-sensing based on coherent quantum noise cancellation in a nonlinear hybrid optomechanical system. The optomechanical cavity contains a moveable mechanical mirror, a fixed semitransparent mirror, an ensemble of ultracold atoms, and an optical parametric amplifier (OPA). Using the coherent quant...
2201.10805v1
2022-01-31
Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
We extend a procedure exploiting spatial indistinguishability of identical particles to recover the spoiled entanglement between two qubits interacting with Markovian noisy environments. Here, the spatially localized operations and classical communication (sLOCC) operational framework is used to activate the entangleme...
2201.13365v1
2022-02-01
Uniform synchronization of an abstract linear second order evolution system
Although the mathematical study on the synchronization of wave equations at finite horizon has been well developed, there was few results on the synchronization of wave equations for long-time horizon. The aim of the paper is to investigate the uniform synchronization at the infinite horizon for one abstract linear sec...
2202.00771v1
2022-02-02
Electric field screening in pair discharges and generation of pulsar radio emission
Pulsar radio emission may be generated in pair discharges which fill the pulsar magnetosphere with plasma as an accelerating electric field is screened by freshly created pairs. In this Letter we develop a simplified analytic theory for the screening of the electric field in these pair discharges and use it to estimate...
2202.01303v2
2022-01-22
Dynamics of a Charged Thomas Oscillator in an External Magnetic Field
In this letter, we provide a detailed numerical examination of the dynamics of a charged Thomas oscillator in an external magnetic field. We do so by adopting and then modifying the cyclically symmetric Thomas oscillator to study the dynamics of a charged particle in an external magnetic field. These dynamical behaviou...
2202.02383v2
2022-02-15
Damped Online Newton Step for Portfolio Selection
We revisit the classic online portfolio selection problem, where at each round a learner selects a distribution over a set of portfolios to allocate its wealth. It is known that for this problem a logarithmic regret with respect to Cover's loss is achievable using the Universal Portfolio Selection algorithm, for exampl...
2202.07574v1
2022-02-22
Modal Estimation on a Warped Frequency Axis for Linear System Modeling
Linear systems such as room acoustics and string oscillations may be modeled as the sum of mode responses, each characterized by a frequency, damping and amplitude. Here, we consider finding the mode parameters from impulse response measurements, and estimate the mode frequencies and decay rates as the generalized eige...
2202.11192v1
2022-02-28
Estimating the degree of non-Markovianity using variational quantum circuits
Several applications of quantum machine learning (QML) rely on a quantum measurement followed by training algorithms using the measurement outcomes. However, recently developed QML models, such as variational quantum circuits (VQCs), can be implemented directly on the state of the quantum system (quantum data). Here, w...
2202.13964v3
2022-03-08
Interplay between nonlinear spectral shift and nonlinear damping of spin waves in ultrathin YIG waveguides
We use the phase-resolved imaging to directly study the nonlinear modification of the wavelength of spin waves propagating in 100-nm thick, in-plane magnetized YIG waveguides. We show that, by using moderate microwave powers, one can realize spin waves with large amplitudes corresponding to precession angles in excess ...
2203.04018v1
2022-03-08
The low energy excitation spectrum of magic-angle semimetals
We theoretically study the excitation spectrum of a two-dimensional Dirac semimetal in the presence of an incommensurate potential. Such models have been shown to possess magic-angle critical points in the single particle wavefunctions, signalled by a momentum space delocalization of plane wave eigenstates and flat ban...
2203.04318v1
2022-03-09
Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
We develop a nonperturbative theory for hole dynamics in antiferromagnetic spin lattices, as described by the $t$-$J$ model. This is achieved by generalizing the selfconsistent Born approximation to nonequilibrium systems, making it possible to calculate the full time-dependent many-body wave function. Our approach rev...
2203.04789v2
2022-03-10
Dynamics of the collapse of a ferromagnetic skyrmion in a centrosymmetric lattice
Time dependence of the size and chirality of a ferromagnetic skyrmion in a Heisenberg model with the magnetic field on a square lattice has been studied analytically and numerically. The lattice and the magnetic field generate strong time dependence of the skyrmion chirality. Due to nonlinearity, the lattice alone also...
2203.05342v1
2022-03-22
Viscous and centrifugal instabilities of massive stars
Massive stars exhibit a variety of instabilities, many of which are poorly understood. We explore instabilities induced by centrifugal forces and angular momentum transport in massive rotating stars. First, we derive and numerically solve linearized oscillation equations for adiabatic radial modes in polytropic stellar...
2203.11809v1
2022-03-27
Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity
An improvement of [18] on the blow-up region and the lifespan estimate of a weakly coupled system of wave equations with damping and mass in the scale-invariant case and with time-derivative nonlinearity is obtained in this article. Indeed, thanks to a better understanding of the dynamics of the solutions, we give here...
2203.14403v1
2022-03-24
Walking droplets as a damped-driven system
We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the system as a compositional map between the gain and loss dynamics, the underlying n...
2203.14705v2
2022-04-07
Pseudo Numerical Ranges and Spectral Enclosures
We introduce the new concepts of pseu\-do numerical range for operator functions and families of sesquilinear forms as well as the pseu\-do block numerical range for $n \times n$ operator matrix functions. While these notions are new even in the bounded case, we cover operator polynomials with unbounded coefficients, u...
2204.03584v1
2022-04-13
Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
In this work we shall calculate in detail the effect of an GW170817-compatible Einstein-Gauss-Bonnet theory on the energy spectrum of the primordial gravitational waves. The spectrum is affected by two characteristics, the overall amplification/damping factor caused by the GW170817-compatible Einstein-Gauss-Bonnet theo...
2204.06304v1
2022-04-14
Stability of Exponentially Damped Oscillations under Perturbations of the Mori-Chain
There is an abundance of evidence that some relaxation dynamics, e.g., exponential decays, are much more common in nature than others. Recently, there have been attempts to trace this dominance back to a certain stability of the prevalent dynamics versus generic Hamiltonian perturbations. In the paper at hand, we tackl...
2204.06903v1
2022-04-24
Integrated Local Energy Decay for the Damped Wave Equation on Stationary Space-Times
We prove integrated local energy decay for the damped wave equation on stationary, asymptotically flat space-times in (1 + 3) dimensions. Local energy decay constitutes a powerful tool in the study of dispersive partial differential equations on such geometric backgrounds. By utilizing the geometric control condition t...
2204.11339v2
2022-04-26
Accelerated-gradient-based generalized Levenberg--Marquardt method with oracle complexity bound and local quadratic convergence
Minimizing the sum of a convex function and a composite function appears in various fields. The generalized Levenberg--Marquardt (LM) method, also known as the prox-linear method, has been developed for such optimization problems. The method iteratively solves strongly convex subproblems with a damping term. This study...
2204.12016v3
2022-05-02
Thermoacoustic shocks in complex plasmas
The formation of thermoacoustic shocks is revealed in a fluid complex plasma. The thermoacoustic wave mode can be damped (or anti-damped) when the contribution from the thermoacoustic interaction is lower (or higher) than that due to the particle collision and/or the kinematic viscosity. In the nonlinear regime, the th...
2205.00896v1
2022-05-09
Mutual friction and diffusion of two-dimensional quantum vortices
We present a microscopic open quantum systems theory of thermally-damped vortex motion in oblate atomic superfluids that includes previously neglected energy-damping interactions between superfluid and thermal atoms. This mechanism couples strongly to vortex core motion and causes dissipation of vortex energy due to mu...
2205.04065v2
2022-05-09
Nonlinear Landau damping for the Vlasov-Poisson system in $\R^3$: the Poisson equilibrium
We prove asymptotic stability of the Poisson homogeneous equilibrium among solutions of the Vlassov-Poisson system in the Euclidean space $\mathbb{R}^3$. More precisely, we show that small, smooth, and localized perturbations of the Poisson equilibrium lead to global solutions of the Vlasov-Poisson system, which scatte...
2205.04540v2
2022-05-11
Domain wall damped harmonic oscillations induced by curvature gradients in elliptical magnetic nanowires
Understanding the domain wall (DW) dynamics in magnetic nanowires (NW) is crucial for spintronic-based applications demanding the use of DWs as information carriers. This work focuses on the dynamics of a DW displacing along a bent NW with an elliptical shape under the action of spin-polarized electric currents and ext...
2205.05716v1
2022-05-12
Global existence and stability of subsonic time-periodic solution to the damped compressible Euler equations in a bounded domain
In this paper, we consider the one-dimensional isentropic compressible Euler equations with source term $\beta(t,x)\rho|u|^{\alpha}u$ in a bounded domain, which can be used to describe gas transmission in a nozzle.~The model is imposed a subsonic time-periodic boundary condition.~Our main results reveal that the time-p...
2205.05858v2
2022-05-23
Global existence, uniqueness and $L^{\infty}$-bound of weak solutions of fractional time-space Keller-Segel system
This paper studies the properties of weak solutions to a class of space-time fractional parabolic-elliptic Keller-Segel equations with logistic source terms in $\mathbb{R}^{n}$, $n\geq 2$. The global existence and $L^{\infty}$-bound of weak solutions are established. We mainly divide the damping coefficient into two ca...
2205.11041v1
2022-05-23
Schur complement dominant operator matrices
We propose a method for the spectral analysis of unbounded operator matrices in a general setting which fully abstains from standard perturbative arguments. Rather than requiring the matrix to act in a Hilbert space $\mathcal{H}$, we extend its action to a suitable distributional triple $\mathcal{D} \subset \mathcal{H}...
2205.11653v1
2022-05-24
Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation
In this paper we extend analysis of the WaveHoltz iteration -- a time-domain iterative method for the solution of the Helmholtz equation. We expand the previous analysis of energy conserving problems and prove convergence of the WaveHoltz iteration for problems with impedance boundary conditions in a single spatial dim...
2205.12349v1
2022-05-31
Phonon decay in 1D atomic Bose quasicondensates via Beliaev-Landau damping
In a 1D Bose gas, there is no non-trivial scattering channel involving three Bogoliubov quasiparticles that conserves both energy and momentum. Nevertheless, we show that such 3-wave mixing processes (Beliaev and Landau damping) account for their decay via interactions with thermal fluctuations. Within an appropriate t...
2205.15826v2
2022-06-02
Bistability in dissipatively coupled cavity magnonics
Dissipative coupling of resonators arising from their cooperative dampings to a common reservoir induces intriguingly new physics such as energy level attraction. In this study, we report the nonlinear properties in a dissipatively coupled cavity magnonic system. A magnetic material YIG (yttrium iron garnet) is placed ...
2206.01231v1
2022-06-02
Impact of Frequency Support by Wind Turbines on Small-Signal Stability of Power Systems
Rising wind energy integration, accompanied by a decreasing level of system inertia, requires additional sources of ancillary services. Wind turbines based on doubly fed induction generators (DFIG) can provide inertial and primary frequency support, when equipped with specific controls. This paper investigates the effe...
2206.01237v1
2022-06-03
An Assessment Of Full-Wave Effects On Maxwellian Lower-Hybrid Wave Damping
Lower-hybrid current drive (LHCD) actuators are important components of modern day fusion experiments as well as proposed fusion reactors. However, simulations of LHCD often differ substantially from experimental results, and from each other, especially in the inferred power deposition profile shape. Here we investigat...
2206.01773v2
2022-06-06
Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics
We consider a spin impurity with multiple energy levels moving in a non-interacting Fermi sea, and theoretically solve this Fermi spin polaron problem at nonzero temperature by using a non-self-consistent many-body $T$-matrix theory. We focus on the simplest case with spin half, where the two energy states of the impur...
2206.02317v4
2022-06-09
A deep learning method for the trajectory reconstruction of cosmic rays with the DAMPE mission
A deep learning method for the particle trajectory reconstruction with the DAMPE experiment is presented. The developed algorithms constitute the first fully machine-learned track reconstruction pipeline for space astroparticle missions. Significant performance improvements over the standard hand-engineered algorithms ...
2206.04532v2