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2019-11-05 | Exceptional points in dissipatively coupled spin dynamics | We theoretically investigate dynamics of classical spins exchange-coupled
through an isotropic medium. The coupling is treated at the adiabatic level of
the medium's response, which mediates a first-order in frequency dissipative
interaction along with an instantaneous Heisenberg exchange. The resultant
damped spin pre... | 1911.01619v2 |
2019-11-08 | Influence of Sensor Feedback Limitations on Power Oscillation Damping and Transient Stability | Fundamental sensor feedback limitations for improving rotor angle stability
using local frequency or phase angle measurement are derived. Using a
two-machine power system model, it is shown that improved damping of inter-area
oscillations must come at the cost of reduced transient stability margins,
regardless of the c... | 1911.03342v3 |
2019-11-12 | Non-uniform Stability of Damped Contraction Semigroups | We investigate the stability properties of strongly continuous semigroups
generated by operators of the form $A-BB^\ast$, where $A$ is a generator of a
contraction semigroup and $B$ is a possibly unbounded operator. Such systems
arise naturally in the study of hyperbolic partial differential equations with
damping on t... | 1911.04804v3 |
2020-01-31 | Dynamo in weakly collisional nonmagnetized plasmas impeded by Landau damping of magnetic fields | We perform fully kinetic simulations of flows known to produce dynamo in
magnetohydrodynamics (MHD), considering scenarios with low Reynolds number and
high magnetic Prandtl number, relevant for galaxy cluster scale fluctuation
dynamos. We find that Landau damping on the electrons leads to a rapid decay of
magnetic per... | 2001.11929v2 |
2020-03-05 | Sound propagation and quantum limited damping in a two-dimensional Fermi gas | Strongly interacting two-dimensional Fermi systems are one of the great
remaining challenges in many-body physics due to the interplay of strong local
correlations and enhanced long-range fluctuations. Here, we probe the
thermodynamic and transport properties of a 2D Fermi gas across the BEC-BCS
crossover by studying t... | 2003.02713v1 |
2020-03-09 | Proof-of-principle direct measurement of Landau damping strength at the Large Hadron Collider with an anti-damper | Landau damping is an essential mechanism for ensuring collective beam
stability in particle accelerators. Precise knowledge of how strong Landau
damping is, is key to making accurate predictions on beam stability for
state-of-the-art high energy colliders. In this paper we demonstrate an
experimental procedure that wou... | 2003.04383v1 |
2020-03-19 | An inverse-system method for identification of damping rate functions in non-Markovian quantum systems | Identification of complicated quantum environments lies in the core of
quantum engineering, which systematically constructs an environment model with
the aim of accurate control of quantum systems. In this paper, we present an
inverse-system method to identify damping rate functions which describe
non-Markovian environ... | 2003.08617v1 |
2020-04-23 | Damping of gravitational waves in 2-2-holes | A 2-2-hole is an explicit realization of a horizonless object that can still
very closely resemble a BH. An ordinary relativistic gas can serve as the
matter source for the 2-2-hole solution of quadratic gravity, and this leads to
a calculable area-law entropy. Here we show that it also leads to an estimate
of the damp... | 2004.11285v3 |
2020-05-04 | Plasmon damping in electronically open systems | Rapid progress in electrically-controlled plasmonics in solids poses a
question about effects of electronic reservoirs on the properties of plasmons.
We find that plasmons in electronically open systems [i.e. in (semi)conductors
connected to leads] are prone to an additional damping due to charge carrier
penetration in... | 2005.01680v1 |
2020-05-06 | Helical damping and anomalous critical non-Hermitian skin effect | Non-Hermitian skin effect and critical skin effect are unique features of
non-Hermitian systems. In this Letter, we study an open system with its
dynamics of single-particle correlation function effectively dominated by a
non-Hermitian damping matrix, which exhibits $\mathbb{Z}_2$ skin effect, and
uncover the existence... | 2005.02617v1 |
2020-05-16 | Gravitational Landau Damping for massive scalar modes | We establish the possibility of Landau damping for gravitational scalar waves
which propagate in a non-collisional gas of particles. In particular, under the
hypothesis of homogeneity and isotropy, we describe the medium at the
equilibrium with a J\"uttner-Maxwell distribution, and we analytically
determine the damping... | 2005.08010v4 |
2020-05-21 | On Strong Feller Property, Exponential Ergodicity and Large Deviations Principle for Stochastic Damping Hamiltonian Systems with State-Dependent Switching | This work focuses on a class of stochastic damping Hamiltonian systems with
state-dependent switching, where the switching process has a countably infinite
state space. After establishing the existence and uniqueness of a global weak
solution via the martingale approach under very mild conditions, the paper next
proves... | 2005.10730v1 |
2020-06-09 | Logarithmic decay for damped hypoelliptic wave and Schr{ö}dinger equations | We consider damped wave (resp. Schr{\"o}dinger and plate) equations driven by
a hypoelliptic "sum of squares" operator L on a compact manifold and a damping
function b(x). We assume the Chow-Rashevski-H{\"o}rmander condition at rank k
(at most k Lie brackets needed to span the tangent space) together with
analyticity o... | 2006.05122v1 |
2020-06-14 | Bulk Viscous Damping of Density Oscillations in Neutron Star Mergers | In this paper, we discuss the damping of density oscillations in dense
nuclear matter in the temperature range relevant to neutron star mergers. This
damping is due to bulk viscosity arising from the weak interaction ``Urca''
processes of neutron decay and electron capture. The nuclear matter is modelled
in the relativ... | 2006.07975v2 |
2020-06-15 | Exact solutions of a damped harmonic oscillator in a time dependent noncommutative space | In this paper we have obtained the exact eigenstates of a two dimensional
damped harmonic oscillator in time dependent noncommutative space. It has been
observed that for some specific choices of the damping factor and the time
dependent frequency of the oscillator, there exists interesting solutions of
the time depend... | 2006.08611v1 |
2020-06-16 | Enhancing nonlinear damping by parametric-direct internal resonance | Mechanical sources of nonlinear damping play a central role in modern
physics, from solid-state physics to thermodynamics. The microscopic theory of
mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi
(b) 68, 111 (1975)] suggests that nonlinear damping of a resonant mode can be
strongly enhanc... | 2006.09364v3 |
2020-06-22 | Blow-up for wave equation with the scale-invariant damping and combined nonlinearities | In this article, we study the blow-up of the damped wave equation in the
\textit{scale-invariant case} and in the presence of two nonlinearities. More
precisely, we consider the following equation: $$u_{tt}-\Delta
u+\frac{\mu}{1+t}u_t=|u_t|^p+|u|^q, \quad \mbox{in}\ \R^N\times[0,\infty), $$
with small initial data.\\ F... | 2006.12600v1 |
2020-07-10 | Decentralized Frequency Control using Packet-based Energy Coordination | This paper presents a novel frequency-responsive control scheme for
demand-side resources, such as electric water heaters. A frequency-dependent
control law is designed to provide damping from distributed energy resources
(DERs) in a fully decentralized fashion. This local control policy represents a
frequency-dependen... | 2007.05624v1 |
2020-07-30 | Origin of micron-scale propagation lengths of heat-carrying acoustic excitations in amorphous silicon | The heat-carrying acoustic excitations of amorphous silicon are of interest
because their mean free paths may approach micron scales at room temperature.
Despite extensive investigation, the origin of the weak acoustic damping in the
heat-carrying frequencies remains a topic of debate. Here, we report
measurements of t... | 2007.15777v2 |
2020-08-06 | Quantum sensing of open systems: Estimation of damping constants and temperature | We determine quantum precision limits for estimation of damping constants and
temperature of lossy bosonic channels. A direct application would be the use of
light for estimation of the absorption and the temperature of a transparent
slab. Analytic lower bounds are obtained for the uncertainty in the estimation,
throug... | 2008.02728v1 |
2020-08-07 | Quantifying the evidence for resonant damping of coronal waves with foot-point wave power asymmetry | We use Coronal Multi-channel Polarimeter (CoMP) observations of propagating
waves in the solar corona and Bayesian analysis to assess the evidence of
models with resonant damping and foot-point wave power asymmetries. Two nested
models are considered. The reduced model considers resonant damping as the sole
cause of th... | 2008.03004v1 |
2020-08-22 | Sound damping in frictionless granular materials: The interplay between configurational disorder and inelasticity | We numerically investigate sound damping in a model of granular materials in
two dimensions. We simulate evolution of standing waves in disordered
frictionless disks and analyze their damped oscillations by velocity
autocorrelation functions and power spectra. We control the strength of
inelastic interactions between t... | 2008.09760v1 |
2020-09-27 | Squeezed comb states | Continuous-variable codes are an expedient solution for quantum information
processing and quantum communication involving optical networks. Here we
characterize the squeezed comb, a finite superposition of equidistant squeezed
coherent states on a line, and its properties as a continuous-variable encoding
choice for a... | 2009.12888v2 |
2020-11-16 | Switchable Damping for a One-Particle Oscillator | The possibility to switch the damping rate for a one-electron oscillator is
demonstrated, for an electron that oscillates along the magnetic field axis in
a Penning trap. Strong axial damping can be switched on to allow this
oscillation to be used for quantum nondemolition detection of the cyclotron and
spin quantum st... | 2011.08136v2 |
2020-11-15 | A Random Matrix Theory Approach to Damping in Deep Learning | We conjecture that the inherent difference in generalisation between adaptive
and non-adaptive gradient methods in deep learning stems from the increased
estimation noise in the flattest directions of the true loss surface. We
demonstrate that typical schedules used for adaptive methods (with low
numerical stability or... | 2011.08181v5 |
2020-11-17 | Challenging an experimental nonlinear modal analysis method with a new strongly friction-damped structure | In this work, we show that a recently proposed method for experimental
nonlinear modal analysis based on the extended periodic motion concept is well
suited to extract modal properties for strongly nonlinear systems (i.e. in the
presence of large frequency shifts, high and nonlinear damping, changes of the
mode shape, ... | 2011.08527v1 |
2020-11-27 | Thermal damping of Weak Magnetosonic Turbulence in the Interstellar Medium | We present a generic mechanism for the thermal damping of compressive waves
in the interstellar medium (ISM), occurring due to radiative cooling. We solve
for the dispersion relation of magnetosonic waves in a two-fluid (ion-neutral)
system in which density- and temperature-dependent heating and cooling
mechanisms are ... | 2011.13879v3 |
2021-02-10 | WAMS-Based Model-Free Wide-Area Damping Control by Voltage Source Converters | In this paper, a novel model-free wide-area damping control (WADC) method is
proposed, which can achieve full decoupling of modes and damp multiple critical
inter-area oscillations simultaneously using grid-connected voltage source
converters (VSCs). The proposed method is purely measurement based and requires
no knowl... | 2102.05494v1 |
2021-04-08 | Fast optimization of viscosities for frequency-weighted damping of second-order systems | We consider frequency-weighted damping optimization for vibrating systems
described by a second-order differential equation. The goal is to determine
viscosity values such that eigenvalues are kept away from certain undesirable
areas on the imaginary axis. To this end, we present two complementary
techniques. First, we... | 2104.04035v1 |
2021-04-09 | Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity | In this article, we consider the damped wave equation in the
\textit{scale-invariant case} with time-dependent speed of propagation, mass
term and time derivative nonlinearity. More precisely, we study the blow-up of
the solutions to the following equation: $$ (E) \quad u_{tt}-t^{2m}\Delta
u+\frac{\mu}{t}u_t+\frac{\nu^... | 2104.04393v2 |
2021-04-12 | Slow periodic oscillation without radiation damping: New evolution laws for rate and state friction | The dynamics of sliding friction is mainly governed by the frictional force.
Previous studies have shown that the laboratory-scale friction is well
described by an empirical law stated in terms of the slip velocity and the
state variable. The state variable represents the detailed physicochemical
state of the sliding i... | 2104.05398v2 |
2021-04-27 | Absence of a boson peak in anharmonic phonon models with Akhiezer-type damping | In a recent article M. Baggioli and A. Zaccone (Phys. Rev. Lett. {\bf 112},
145501 (2019)) claimed that an anharmonic damping, leading to a sound
attenuation proportional to $\omega^2$ (Akhiezer-type damping) would imply a
boson peak, i.e.\ a maximum in the vibrational density of states, divided by
the frequency square... | 2104.13076v1 |
2021-05-03 | Damping and polarization rates in near equilibrium state | The collision terms in spin transport theory are analyzed in Kadanoff-Baym
formalism for systems close to equilibrium. The non-equilibrium fluctuations in
spin distribution include both damping and polarization, with the latter
arising from the exchange between orbital and spin angular momenta. The damping
and polariza... | 2105.00915v1 |
2021-06-07 | Voltage-control of damping constant in magnetic-insulator/topological-insulator bilayers | The magnetic damping constant is a critical parameter for magnetization
dynamics and the efficiency of memory devices and magnon transport. Therefore,
its manipulation by electric fields is crucial in spintronics. Here, we
theoretically demonstrate the voltage-control of magnetic damping in ferro- and
ferrimagnetic-ins... | 2106.03332v1 |
2021-05-14 | Exact solution of damped harmonic oscillator with a magnetic field in a time dependent noncommutative space | In this paper we have obtained the exact eigenstates of a two dimensional
damped harmonic oscillator in the presence of an external magnetic field
varying with respect to time in time dependent noncommutative space. It has
been observed that for some specific choices of the damping factor, the time
dependent frequency ... | 2106.05182v1 |
2021-06-21 | Self-stabilization of light sails by damped internal degrees of freedom | We consider the motion of a light sail that is accelerated by a powerful
laser beam. We derive the equations of motion for two proof-of-concept sail
designs with damped internal degrees of freedom. Using linear stability
analysis we show that perturbations of the sail movement in all lateral degrees
of freedom can be d... | 2106.10961v1 |
2021-07-14 | Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations | We present an analytical calculation of the response of a driven Duffing
oscillator to low-frequency fluctuations in the resonance frequency and
damping. We find that fluctuations in these parameters manifest themselves
distinctively, allowing them to be distinguished. In the strongly nonlinear
regime, amplitude and ph... | 2107.06879v1 |
2021-07-27 | Spin transport-induced damping of coherent THz spin dynamics in iron | We study the damping of perpendicular standing spin-waves (PSSWs) in
ultrathin Fe films at frequencies up to 2.4 THz. The PSSWs are excited by
optically generated ultrashort spin current pulses, and probed optically in the
time domain. Analyzing the wavenumber and thickness dependence of the damping,
we demonstrate tha... | 2107.12812v2 |
2021-07-29 | A N-dimensional elastic\viscoelastic transmission problem with Kelvin-Voigt damping and non smooth coefficient at the interface | We investigate the stabilization of a multidimensional system of coupled wave
equations with only one Kelvin Voigt damping. Using a unique continuation
result based on a Carleman estimate and a general criteria of Arendt Batty, we
prove the strong stability of the system in the absence of the compactness of
the resolve... | 2107.13785v1 |
2021-09-03 | Stabilization of the damped plate equation under general boundary conditions | We consider a damped plate equation on an open bounded subset of R^d, or a
smooth manifold, with boundary, along with general boundary operators
fulfilling the Lopatinskii-Sapiro condition. The damping term acts on a region
without imposing a geometrical condition. We derive a resolvent estimate for
the generator of th... | 2109.01521v2 |
2021-09-07 | Fluid energy cascade rate and kinetic damping: new insight from 3D Landau-fluid simulations | Using an exact law for incompressible Hall magnetohydrodynamics (HMHD)
turbulence, the energy cascade rate is computed from three-dimensional HMHD-CGL
(bi-adiabatic ions and isothermal electrons) and Landau fluid (LF) numerical
simulations that feature different intensities of Landau damping over a broad
range of waven... | 2109.03123v2 |
2021-09-24 | Effect of nonlocal transformations on the linearizability and exact solvability of the nonlinear generalized modified Emden type equations | The nonlinear generalized modified Emden type equations (GMEE) are known to
be linearizable into simple harmonic oscillator (HO) or damped harmonic
oscillators (DHO) via some nonlocal transformations. Hereby, we show that the
structure of the nonlocal transformation and the linearizability into HO or DHO
determine the ... | 2109.12059v1 |
2021-12-27 | Trajectory attractors for 3D damped Euler equations and their approximation | We study the global attractors for the damped 3D Euler--Bardina equations
with the regularization parameter $\alpha>0$ and Ekman damping coefficient
$\gamma>0$ endowed with periodic boundary conditions as well as their damped
Euler limit $\alpha\to0$. We prove that despite the possible non-uniqueness of
solutions of th... | 2112.13691v1 |
2022-01-12 | Implicit Bias of MSE Gradient Optimization in Underparameterized Neural Networks | We study the dynamics of a neural network in function space when optimizing
the mean squared error via gradient flow. We show that in the
underparameterized regime the network learns eigenfunctions of an integral
operator $T_{K^\infty}$ determined by the Neural Tangent Kernel (NTK) at rates
corresponding to their eigen... | 2201.04738v1 |
2022-01-19 | Variance-Reduced Stochastic Quasi-Newton Methods for Decentralized Learning: Part II | In Part I of this work, we have proposed a general framework of decentralized
stochastic quasi-Newton methods, which converge linearly to the optimal
solution under the assumption that the local Hessian inverse approximations
have bounded positive eigenvalues. In Part II, we specify two fully
decentralized stochastic q... | 2201.07733v1 |
2022-01-19 | Active tuning of plasmon damping via light induced magnetism | Circularly polarized optical excitation of plasmonic nanostructures causes
coherent circulating motion of their electrons, which in turn, gives rise to
strong optically induced magnetization - a phenomenon known as the inverse
Faraday effect (IFE). In this study we report how the IFE also significantly
decreases plasmo... | 2201.07842v1 |
2022-03-02 | Simplified Stability Assessment of Power Systems with Variable-Delay Wide-Area Damping Control | Power electronic devices such as HVDC and FACTS can be used to improve the
damping of poorly damped inter-area modes in large power systems. This involves
the use of wide-area feedback signals, which are transmitted via communication
networks. The performance of the closed-loop system is strongly influenced by
the dela... | 2203.01362v1 |
2022-03-03 | Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato-Lefever wave | In an interesting recent analysis, Haragus-Johnson-Perkins-de Rijk have shown
modulational stability under localized perturbations of steady periodic
solutions of the Lugiato-Lefever equation (LLE), in the process pointing out a
difficulty in obtaining standard "nonlinear damping estimates" on modulated
perturbation va... | 2203.01770v3 |
2022-03-31 | Observing Particle Energization above the Nyquist Frequency: An Application of the Field-Particle Correlation Technique | The field-particle correlation technique utilizes single-point measurements
to uncover signatures of various particle energization mechanisms in turbulent
space plasmas. The signature of Landau damping by electrons has been found in
both simulations and observations from Earth's magnetosheath using this
technique, but ... | 2204.00104v1 |
2022-04-06 | A Potential Based Quantization Procedure of the Damped Oscillator | Nowadays, two of the most prospering fields of physics are quantum computing
and spintronics. In both, the loss of information and dissipation plays a
crucial role. In the present work we formulate the quantization of the
dissipative oscillator, which aids understanding of the above mentioned, and
creates a theoretical... | 2204.02893v2 |
2022-04-19 | Role of shape anisotropy on thermal gradient-driven domain wall dynamics in magnetic nanowires | We investigate the magnetic domain wall (DW) dynamics in uniaxial/biaxial
nanowires under a thermal gradient (TG). The findings reveal that the DW
propagates toward the hotter region in both nanowires. The main physics of such
observations is the magnonic angular momentum transfer to the DW. The hard
(shape) anisotropy... | 2204.09101v2 |
2022-04-25 | Energy decay estimates for the wave equation with supercritical nonlinear damping | We consider a damped wave equation in a bounded domain. The damping is
nonlinear and is homogeneous with degree p -- 1 with p > 2. First, we show that
the energy of the strong solution in the supercritical case decays as a
negative power of t; the rate of decay is the same as in the subcritical or
critical cases, provi... | 2204.11494v1 |
2022-05-07 | Proposal for a Damping-Ring-Free Electron Injector for Future Linear Colliders | The current designs of future electron-positron linear colliders incorporate
large and complex damping rings to produce asymmetric beams for beamstrahlung
suppression. Here we present the design of an electron injector capable of
delivering flat electron beams with phase-space partition comparable to the
electron-beam ... | 2205.03736v1 |
2022-06-02 | Optimal Control of the 3D Damped Navier-Stokes-Voigt Equations with Control Constraints | In this paper, we consider the 3D Navier-Stokes-Voigt (NSV) equations with
nonlinear damping $|u|^{r-1}u, r\in[1,\infty)$ in bounded and space-periodic
domains. We formulate an optimal control problem of minimizing the curl of the
velocity field in the energy norm subject to the flow velocity satisfying the
damped NSV ... | 2206.00988v2 |
2022-06-05 | Stationary measures for stochastic differential equations with degenerate damping | A variety of physical phenomena involve the nonlinear transfer of energy from
weakly damped modes subjected to external forcing to other modes which are more
heavily damped. In this work we explore this in (finite-dimensional) stochastic
differential equations in $\mathbb R^n$ with a quadratic, conservative
nonlinearit... | 2206.02240v1 |
2022-06-17 | Resolvent estimates for the one-dimensional damped wave equation with unbounded damping | We study the generator $G$ of the one-dimensional damped wave equation with
unbounded damping. We show that the norm of the corresponding resolvent
operator, $\| (G - \lambda)^{-1} \|$, is approximately constant as $|\lambda|
\to +\infty$ on vertical strips of bounded width contained in the closure of
the left-hand sid... | 2206.08820v2 |
2022-07-13 | Energy decay for the time dependent damped wave equation | Energy decay is established for the damped wave equation on compact
Riemannian manifolds where the damping coefficient is allowed to depend on
time. Using a time dependent observability inequality, it is shown that the
energy of solutions decays at an exponential rate if the damping coefficient
satisfies a time depende... | 2207.06260v4 |
2022-08-04 | Lp-asymptotic stability of 1D damped wave equations with localized and nonlinear damping | In this paper, we study the $L^p$-asymptotic stability with $p\in (1,\infty)$
of the one-dimensional nonlinear damped wave equation with a localized damping
and Dirichlet boundary conditions in a bounded domain $(0,1)$. We start by
addressing the well-posedness problem. We prove the existence and the
uniqueness of weak... | 2208.02779v1 |
2022-08-07 | Damping of neutrino oscillations, decoherence and the lengths of neutrino wave packets | Spatial separation of the wave packets (WPs) of neutrino mass eigenstates
leads to decoherence and damping of neutrino oscillations. Damping can also be
caused by finite energy resolution of neutrino detectors or, in the case of
experiments with radioactive neutrino sources, by finite width of the emitted
neutrino line... | 2208.03736v2 |
2022-08-23 | Fate of exceptional points in the presence of nonlinearities | The non-Hermitian dynamics of open systems deal with how intricate coherent
effects of a closed system intertwine with the impact of coupling to an
environment. The system-environment dynamics can then lead to so-called
exceptional points, which are the open-system marker of phase transitions,
i.e., the closing of spec... | 2208.11205v2 |
2022-09-10 | Data-driven, multi-moment fluid modeling of Landau damping | Deriving governing equations of complex physical systems based on first
principles can be quite challenging when there are certain unknown terms and
hidden physical mechanisms in the systems. In this work, we apply a deep
learning architecture to learn fluid partial differential equations (PDEs) of a
plasma system base... | 2209.04726v1 |
2022-09-25 | Formation of the cosmic-ray halo: The role of nonlinear Landau damping | We present a nonlinear model of self-consistent Galactic halo, where the
processes of cosmic ray (CR) propagation and excitation/damping of MHD waves
are included. The MHD-turbulence, which prevents CR escape from the Galaxy, is
entirely generated by the resonant streaming instability. The key mechanism
controlling the... | 2209.12302v1 |
2022-10-10 | Finite time extinction for a critically damped Schr{ö}dinger equation with a sublinear nonlinearity | This paper completes some previous studies by several authors on the finite
time extinction for nonlinear Schr{\"o}dinger equation when the nonlinear
damping term corresponds to the limit cases of some ``saturating non-Kerr law''
$F(|u|^2)u=\frac{a}{\varepsilon+(|u|^2)^\alpha}u,$ with $a\in\mathbb{C},$
$\varepsilon\geq... | 2210.04493v4 |
2022-10-14 | Landau damping for gravitational waves in parity-violating theories | We discuss how tensor polarizations of gravitational waves can suffer Landau
damping in the presence of velocity birefringence, when parity symmetry is
explicitly broken. In particular, we analyze the role of the Nieh-Yan and
Chern-Simons terms in modified theories of gravity, showing how the
gravitational perturbation... | 2210.07673v2 |
2022-10-25 | Formation of shifted shock for the 3D compressible Euler equations with damping | In this paper, we show the shock formation of the solutions to the
3-dimensional (3D) compressible isentropic and irrotational Euler equations
with damping for the initial short pulse data which was first introduced by
D.Christodoulou\cite{christodoulou2007}. Due to the damping effect, the
largeness of the initial data... | 2210.13796v1 |
2022-10-30 | Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping | This work is concerned with new results on long-time dynamics of a class of
hyperbolic evolution equations related to extensible beams with three
distinguished nonlocal nonlinear damping terms. In the first possibly
degenerate case, the results feature the existence of a family of compact
global attractors and a thickn... | 2210.16851v1 |
2022-11-11 | Nonlinear fractional damped wave equation on compact Lie groups | In this paper, we deal with the initial value fractional damped wave equation
on $G$, a compact Lie group, with power-type nonlinearity. The aim of this
manuscript is twofold. First, using the Fourier analysis on compact Lie groups,
we prove a local in-time existence result in the energy space for the
fractional damped... | 2211.06155v1 |
2022-11-16 | Controlling the motional quality factor of a diamagnetically levitated graphite plate | Researchers seek methods to levitate matter for a wide variety of purposes,
ranging from exploring fundamental problems in science, through to developing
new sensors and mechanical actuators. Many levitation techniques require active
driving and most can only be applied to objects smaller than a few micrometers.
Diamag... | 2211.08764v1 |
2022-12-03 | Strong On-Chip Microwave Photon-Magnon Coupling Using Ultra-low Damping Epitaxial Y3Fe5O12 Films at 2 Kelvin | Y3Fe5O12 is arguably the best magnetic material for magnonic quantum
information science (QIS) because of its extremely low damping. We report
ultralow damping at 2 K in epitaxial Y3Fe5O12 thin films grown on a diamagnetic
Y3Sc2Ga3O12 substrate that contains no rare-earth elements. Using these
ultralow damping YIG film... | 2212.01708v1 |
2022-12-21 | Fractional damping effects on the transient dynamics of the Duffing oscillator | We consider the nonlinear Duffing oscillator in presence of fractional
damping which is characteristic in different physical situations. The system is
studied with a smaller and larger damping parameter value, that we call the
underdamped and overdamped regimes. In both we have studied the relation
between the fraction... | 2212.11023v1 |
2023-01-02 | Fast convex optimization via closed-loop time scaling of gradient dynamics | In a Hilbert setting, for convex differentiable optimization, we develop a
general framework for adaptive accelerated gradient methods. They are based on
damped inertial dynamics where the coefficients are designed in a closed-loop
way. Specifically, the damping is a feedback control of the velocity, or of the
gradient... | 2301.00701v1 |
2023-01-19 | Damped harmonic oscillator revisited: the fastest route to equilibrium | Theoretically, solutions of the damped harmonic oscillator asymptotically
approach equilibrium, i.e., the zero energy state, without ever reaching it
exactly, and the critically damped solution approaches equilibrium faster than
the underdamped or the overdamped solution. Experimentally, the systems
described with this... | 2301.08222v2 |
2023-01-22 | Boundary stabilization of a vibrating string with variable length | We study small vibrations of a string with time-dependent length $\ell(t)$
and boundary damping. The vibrations are described by a 1-d wave equation in an
interval with one moving endpoint at a speed $\ell'(t)$ slower than the speed
of propagation of the wave c=1. With no damping, the energy of the solution
decays if t... | 2301.09086v1 |
2023-02-24 | Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data | Exponential decay estimates of a general linear weakly damped wave equation
are studied with decay rate lying in a range. Based on the $C^0$-conforming
finite element method to discretize spatial variables keeping temporal variable
continuous, a semidiscrete system is analysed, and uniform decay estimates are
derived w... | 2302.12476v1 |
2023-02-27 | Nonlinear acoustic imaging with damping | In this paper, we consider an inverse problem for a nonlinear wave equation
with a damping term and a general nonlinear term. This problem arises in
nonlinear acoustic imaging and has applications in medical imaging and other
fields. The propagation of ultrasound waves can be modeled by a quasilinear
wave equation with... | 2302.14174v1 |
2023-04-11 | Sizable suppression of magnon Hall effect by magnon damping in Cr$_2$Ge$_2$Te$_6$ | Two-dimensional (2D) Heisenberg honeycomb ferromagnets are expected to have
interesting topological magnon effects as their magnon dispersion can have
Dirac points. The Dirac points are gapped with finite second nearest neighbor
Dzyaloshinskii-Moriya interaction, providing nontrivial Berry curvature with
finite magnon ... | 2304.04922v1 |
2023-04-22 | Video analysis of the damped oscillations of Pohl's pendulum | In this paper problems that arose with the introduction of distance learning
in physics at the Technical University of Sofia due to the COVID-19 pandemic
and the imposition of video recording of laboratory exercises are indicated. It
was found that the video for the ''Damped Mechanical Oscillations'' exercise
provides ... | 2304.11390v1 |
2023-05-22 | Semi-active damping optimization of vibrational systems using the reduced basis method | In this article, we consider vibrational systems with semi-active damping
that are described by a second-order model. In order to minimize the influence
of external inputs to the system response, we are optimizing some damping
values. As minimization criterion, we evaluate the energy response, that is the
$\cH_2$-norm ... | 2305.12946v1 |
2023-06-01 | A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries | This work extends, to moving geometries, the immersed boundary method based
on volume penalization and selective frequency damping approach [J. Kou, E.
Ferrer, A combined volume penalization/selective frequency damping approach for
immersed boundary methods applied to high-order schemes, Journal of
Computational Physic... | 2306.00504v1 |
2023-06-09 | Damped nonlinear Schrödinger equation with Stark effect | We study the $L^2$-critical damped NLS with a Stark potential. We prove that
the threshold for global existence and finite time blowup of this equation is
given by $\|Q\|_2$, where $Q$ is the unique positive radial solution of $\Delta
Q + |Q|^{4/d} Q = Q$ in $H^1(\mathbb{R}^d)$. Moreover, in any small
neighborhood of $... | 2306.05931v1 |
2023-06-19 | New Perspectives and Systematic Approaches for Analyzing Negative Damping-Induced Sustained Oscillation | Sustained oscillations (SOs) are commonly observed in systems dominated by
converters. Under specific conditions, even though the origin of SOs can be
identified through negative damping modes using conventional linear analysis,
utilizing the describing function to compute harmonic amplitude and frequency
remains incom... | 2306.10839v2 |
2023-06-24 | Numerical approximation of the invariant distribution for a class of stochastic damped wave equations | We study a class of stochastic semilinear damped wave equations driven by
additive Wiener noise. Owing to the damping term, under appropriate conditions
on the nonlinearity, the solution admits a unique invariant distribution. We
apply semi-discrete and fully-discrete methods in order to approximate this
invariant dist... | 2306.13998v1 |
2023-07-31 | Estimation of Power in the Controlled Quantum Teleportation through the Witness Operator | Controlled quantum teleportation (CQT) can be considered as a variant of
quantum teleportation in which three parties are involved where one party acts
as the controller. The usability of the CQT scheme depends on two types of
fidelities viz. conditioned fidelity and non-conditioned fidelity. The
difference between the... | 2307.16574v1 |
2023-08-03 | Triple-Spherical Bessel Function Integrals with Exponential and Gaussian Damping: Towards an Analytic N-Point Correlation Function Covariance Model | Spherical Bessel functions appear commonly in many areas of physics wherein
there is both translation and rotation invariance, and often integrals over
products of several arise. Thus, analytic evaluation of such integrals with
different weighting functions (which appear as toy models of a given physical
observable, su... | 2308.01955v2 |
2023-08-28 | Quantized damped transversal single particle mechanical waves | In information transfer, the dissipation of a signal may have crucial
importance. The feasibility of reconstructing the distorted signal also depends
on this. That is why the study of quantized dissipative transversal single
particle mechanical waves may have an important role. It may be true,
particularly on the nanos... | 2308.14820v1 |
2023-11-15 | Integrated Local Energy Decay for Damped Magnetic Wave Equations on Stationary Space-Times | We establish local energy decay for damped magnetic wave equations on
stationary, asymptotically flat space-times subject to the geometric control
condition. More specifically, we allow for the addition of time-independent
magnetic and scalar potentials, which negatively affect energy coercivity and
may add in unwieldy... | 2311.08628v1 |
2023-11-15 | Applications of $L^p-L^q$ estimates for solutions to semi-linear $σ$-evolution equations with general double damping | In this paper, we would like to study the linear Cauchy problems for
semi-linear $\sigma$-evolution models with mixing a parabolic like damping term
corresponding to $\sigma_1 \in [0,\sigma/2)$ and a $\sigma$-evolution like
damping corresponding to $\sigma_2 \in (\sigma/2,\sigma]$. The main goals are
on the one hand to... | 2311.09085v1 |
2023-11-23 | Friction of a driven chain: Role of momentum conservation, Goldstone and radiation modes | We analytically study friction and dissipation of a driven bead in a 1D
harmonic chain, and analyze the role of internal damping mechanism as well as
chain length. Specifically, we investigate Dissipative Particle Dynamics and
Langevin Dynamics, as paradigmatic examples that do and do not display
translational symmetry... | 2311.14075v1 |
2023-12-07 | Generalized Damping Torque Analysis of Ultra-Low Frequency Oscillation in the Jerk Space | Ultra low frequency oscillation (ULFO) is significantly threatening the power
system stability. Its unstable mechanism is mostly studied via generalized
damping torque analysis method (GDTA). However, the analysis still adopts the
framework established for low frequency oscillation. Hence, this letter
proposes a GDTA a... | 2312.04148v1 |
2023-12-08 | Selective damping of plasmons in coupled two-dimensional systems by Coulomb drag | The Coulomb drag is a many-body effect observed in proximized low-dimensional
systems. It appears as emergence of voltage in one of them upon passage of bias
current in another. The magnitude of drag voltage can be strongly affected by
exchange of plasmonic excitations between the layers; however, the reverse
effect of... | 2312.05097v1 |
2023-12-13 | Geometrical Interpretation of Neutrino Oscillation with decay | The geometrical representation of two-flavor neutrino oscillation represents
the neutrino's flavor eigenstate as a magnetic moment-like vector that evolves
around a magnetic field-like vector that depicts the Hamiltonian of the system.
In the present work, we demonstrate the geometrical interpretation of neutrino
in a ... | 2312.08178v1 |
2023-12-14 | Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction | We consider systems of damped wave equations with a state-dependent damping
coefficient and perturbed by a Gaussian multiplicative noise. Initially, we
investigate their well-posedness, under quite general conditions on the
friction. Subsequently, we study the validity of the so-called
Smoluchowski-Kramers diffusion ap... | 2312.08925v1 |
2023-12-28 | Cause-effect relationship between model parameters and damping performance of hydraulic shock absorbers | Despite long-term research and development of modern shock absorbers, the
effect of variations of several crucial material and model parameters still
remains dubious. The goal of this work is therefore a study of the changes of
shock absorber dynamics with respect to typical parameter ranges in a realistic
model. We st... | 2312.17175v1 |
2024-01-01 | Magnon Damping Minimum and Logarithmic Scaling in a Kondo-Heisenberg Model | Recently, an anomalous temperature evolution of spin wave excitations has
been observed in a van der Waals metallic ferromagnet Fe$_3$GeTe$_2$ (FGT) [S.
Bao, et al., Phys. Rev. X 12, 011022 (2022)], whose theoretical understanding
yet remains elusive. Here we study the spin dynamics of a ferromagnetic
Kondo-Heisenberg ... | 2401.00758v1 |
2024-01-04 | Simplified Information Geometry Approach for Massive MIMO-OFDM Channel Estimation -- Part II: Convergence Analysis | In Part II of this two-part paper, we prove the convergence of the simplified
information geometry approach (SIGA) proposed in Part I. For a general Bayesian
inference problem, we first show that the iteration of the common second-order
natural parameter (SONP) is separated from that of the common first-order
natural p... | 2401.02037v1 |
2024-01-04 | A Pure Integral-Type PLL with a Damping Branch to Enhance the Stability of Grid-Tied Inverter under Weak Grids | In a phase-locked loop (PLL) synchronized inverter, due to the strong
nonlinear coupling between the PLL's parame-ters and the operation power angle,
the equivalent damping coefficient will quickly deteriorate while the power
angle is close to 90{\deg} under an ultra-weak grid, which causes the
synchronous instability.... | 2401.02202v1 |
2024-01-05 | Solving convex optimization problems via a second order dynamical system with implicit Hessian damping and Tikhonov regularization | This paper deals with a second order dynamical system with a Tikhonov
regularization term in connection to the minimization problem of a convex
Fr\'echet differentiable function. The fact that beside the asymptotically
vanishing damping we also consider an implicit Hessian driven damping in the
dynamical system under s... | 2401.02676v1 |
2024-01-16 | Influence of temperature, doping, and amorphization on the electronic structure and magnetic damping of iron | Hybrid magnonic quantum systems have drawn increased attention in recent
years for coherent quantum information processing, but too large magnetic
damping is a persistent concern when metallic magnets are used. Their intrinsic
damping is largely determined by electron-magnon scattering induced by
spin-orbit interaction... | 2401.08076v1 |
2024-01-16 | Waves in strong centrifugal filed: dissipative gas | In the fast rotating gas (with the velocity typical for Iguassu gas
centrifuge) three families of linear waves exist with different polarizations
and law of dispersion. The energy of the waves is basically concentrated at the
axis of rotation in the rarefied region. Therefore these waves decay on the
distance comparabl... | 2401.08240v1 |
2024-01-19 | Upper bound of the lifespan of the solution to the nonlinear fractional wave equations with time-dependent damping | In this paper, we study the Cauchy problem of the nonlinear wave equation
with fractional Laplacian and time-dependent damping. Firstly, we derive the
weighted Sobolev estimate of the solution operators for the linear wave
equation with the damping of constant coefficient, and prove the local
existence and uniqueness i... | 2401.10552v1 |
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