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2021-07-25 | Dispatch of Virtual Inertia and Damping: Numerical Method with SDP and ADMM | Power grids are evolving toward 100% renewable energy interfaced by
inverters. Virtual inertia and damping provided by inverters are essential to
synchronism and frequency stability of future power grids. This paper
numerically addresses the problem of dispatch of virtual inertia and damping
(DID) among inverters in th... | 2107.11764v1 |
2021-07-29 | Microscopic analysis of sound attenuation in low-temperature amorphous solids reveals quantitative importance of non-affine effects | Sound attenuation in low temperature amorphous solids originates from their
disordered structure. However, its detailed mechanism is still being debated.
Here we analyze sound attenuation starting directly from the microscopic
equations of motion. We derive an exact expression for the zero-temperature
sound damping coe... | 2107.14254v2 |
2021-08-09 | Damping perturbation based time integration asymptotic method for structural dynamics | The light damping hypothesis is usually assumed in structural dynamics since
dissipative forces are in general weak with respect to inertial and elastic
forces. In this paper a novel numerical method of time integration based on the
artificial perturbation of damping is proposed. The asymptotic expansion of the
transie... | 2108.03813v1 |
2021-08-12 | The damping and diffusion of atoms moving in the background electromagnetic environment | The interaction between an atom and the quantized electromagnetic field
depends on the position of the atom. Then the atom experiences a force which is
the minus gradient of this interaction. Through the Heisenberg equations of
motion and the Born-Markov approximation, the mean and correlation of the force
are obtained... | 2108.05590v3 |
2021-09-22 | Antibunching via cooling by heating | We investigate statistics of the photon (phonon) field undergoing linear and
nonlinear damping processes. An effective two-photon (phonon) nonlinear
"cooling by heating" process is realized from linear damping by spectral
filtering of the heat baths present in the system. This cooling process driven
by incoherent quant... | 2109.10516v2 |
2021-09-24 | Damping in yttrium iron garnet film with an interface | We report strong damping enhancement in a 200 nm thick yttrium iron garnet
(YIG) film due to spin inhomogeneity at the interface. The growth-induced thin
interfacial gadolinium iron garnet (GdIG) layer antiferromagnetically (AFM)
exchange couples with the rest of the YIG layer. The out-of-plane angular
variation of fer... | 2109.12071v1 |
2021-10-13 | Tutorial on stochastic systems | In this tutorial, three examples of stochastic systems are considered: A
strongly-damped oscillator, a weakly-damped oscillator and an undamped
oscillator (integrator) driven by noise. The evolution of these systems is
characterized by the temporal correlation functions and spectral densities of
their displacements, wh... | 2110.06966v1 |
2021-10-18 | Structured vector fitting framework for mechanical systems | In this paper, we develop a structure-preserving formulation of the
data-driven vector fitting algorithm for the case of modally damped mechanical
systems. Using the structured pole-residue form of the transfer function of
modally damped second-order systems, we propose two possible structured
extensions of the barycen... | 2110.09220v1 |
2021-10-27 | Integrability and solvability of polynomial Liénard differential systems | We provide the necessary and sufficient conditions of Liouvillian
integrability for Li\'{e}nard differential systems describing nonlinear
oscillators with a polynomial damping and a polynomial restoring force. We
prove that Li\'{e}nard differential systems are not Darboux integrable
excluding subfamilies with certain r... | 2110.14306v2 |
2021-10-28 | Global Solution to the Vacuum Free Boundary Problem with Physical Singularity of Compressible Euler Equations with Damping and Gravity | The global existence of smooth solutions to the vacuum free boundary problem
with physical singularity of compressible Euler equations with damping and
gravity is proved in space dimensions $n=1, 2, 3$, for the initial data being
small perturbations of the stationary solution. Moreover, the exponential decay
of the vel... | 2110.14909v1 |
2021-10-29 | Spinons and damped phonons in spin-1/2 quantum-liquid Ba$_{4}$Ir${}_3$O${}_{10}$ observed by Raman scattering | In spin-1/2 Mott insulators, non-magnetic quantum liquid phases are often
argued to arise when the system shows no magnetic ordering, but identifying
positive signatures of these phases or related spinon quasiparticles can be
elusive. Here we use Raman scattering to provide three signatures for spinons
in a possible sp... | 2110.15916v1 |
2021-10-31 | Thermally induced all-optical ferromagnetic resonance in thin YIG films | All-optical ferromagnetic resonance (AO-FMR) is a powerful tool for local
detection of micromagnetic parameters, such as magnetic anisotropy, Gilbert
damping or spin stiffness. In this work we demonstrate that the AO-FMR method
can be used in thin films of Yttrium Iron Garnet (YIG) if a metallic capping
layer (Au, Pt) ... | 2111.00586v1 |
2021-11-03 | Pointwise space-time estimates of two-phase fluid model in dimension three | In this paper, we investigate the pointwise space-time behavior of two-phase
fluid model derived by Choi \cite{Choi} [SIAM J. Math. Anal., 48(2016), pp.
3090-3122], which is the compressible damped Euler equations coupled with
compressible Naiver-Stokes equations. Based on Green's function method together
with frequenc... | 2111.01987v1 |
2021-11-09 | Turbulent cascades for a family of damped Szegö equations | In this paper, we study the transfer of energy from low to high frequencies
for a family of damped Szeg\"o equations. The cubic Szeg\"o equation has been
introduced as a toy model for a totally non-dispersive degenerate Hamiltonian
equation. It is a completely integrable system which develops growth of high
Sobolev nor... | 2111.05247v1 |
2021-11-18 | Sharp Stability of a String with Local Degenerate Kelvin-Voigt Damping | This paper is on the asymptotic behavior of the elastic string equation with
localized degenerate Kelvin--Voigt damping $$
u_{tt}(x,t)-[u_{x}(x,t)+b(x)u_{x,t}(x,t)]_{x}=0,\; x\in(-1,1),\; t>0,$$ where
$b(x)=0$ on $x\in (-1,0]$, and $b(x)=x^\alpha>0$ on $x\in (0,1)$ for
$\alpha\in(0,1)$. It is known that the optimal dec... | 2111.09500v1 |
2021-11-22 | Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing | We study the mixing effect for a generalized Keller-Segel system with
degenerate dissipation and advection by a weakly mixing. Here the attractive
operator has weak singularity, namely, the negative derivative appears in the
nonlinear term by singular integral. Without advection, the solution of
equation blows up in fi... | 2111.11083v1 |
2021-11-26 | Damping of Pseudo-Goldstone Fields | Approximate symmetries abound in Nature. If these symmetries are also
spontaneously broken, the would-be Goldstone modes acquire a small mass, or
inverse correlation length, and are referred to as pseudo-Goldstones. At
nonzero temperature, the effects of dissipation can be captured by
hydrodynamics at sufficiently long... | 2111.13459v2 |
2021-12-06 | Damped physical oscillators, temperature and chemical clocks | The metaphor of a clock in physics describes near-equilibrium reversible
phenomena such as an oscillating spring. It is surprising that for chemical and
biological clocks the focus has been exclusively on the far-from-equilibrium
dissipative processes. We show here that one can represent chemical
oscillations (the Lotk... | 2112.03083v1 |
2021-12-10 | Existence of Zero-damped Quasinormal Frequencies for Nearly Extremal Black Holes | It has been observed that many spacetimes which feature a near-extremal
horizon exhibit the phenomenon of zero-damped modes. This is characterised by
the existence of a sequence of quasinormal frequencies which all converge to
some purely imaginary number $i\alpha$ in the extremal limit and cluster in a
neighbourhood o... | 2112.05669v3 |
2021-12-22 | Quantifying Spin-Orbit Torques in Antiferromagnet/Heavy Metal Heterostructures | The effect of spin currents on the magnetic order of insulating
antiferromagnets (AFMs) is of fundamental interest and can enable new
applications. Toward this goal, characterizing the spin-orbit torques (SOT)
associated with AFM/heavy metal (HM) interfaces is important. Here we report
the full angular dependence of th... | 2112.12238v1 |
2022-01-04 | Focusing of nonlinear eccentric waves in astrophysical discs. II. Excitation and damping of tightly-wound waves | In this paper I develop a nonlinear theory of tightly-wound (highly twisted)
eccentric waves in astrophysical discs, based on the averaged Lagrangian method
of Whitham. Viscous dissipation is included in the theory by use of a
pseudo-Lagrangian. This work is an extension of the theory developed by Lee \&
Goodman to 3D ... | 2201.01156v1 |
2022-02-04 | Finite-temperature plasmons, damping and collective behavior for $α-\mathcal{T}_3$ model | We have conducted a thorough theoretical and numerical investigation of the
electronic susceptibility, polarizability, plasmons, their damping rates, as
well as the static screening in pseudospin-1 Dirac cone materials with a flat
band, or for a general $\alpha - \mathcal{T}_3$ model, at finite temperatures.
This inclu... | 2202.01945v1 |
2022-02-04 | Enhancing the Formation of Wigner Negativity in a Kerr Oscillator via Quadrature Squeezing | Motivated by quantum experiments with nanomechanical systems, the evolution
of a Kerr oscillator with focus on creation of states with a negative Wigner
function is investigated. Using the phase space formalism, results are
presented that demonstrate an asymptotic behavior in the large squeezing regime
for the negativi... | 2202.02285v1 |
2022-02-11 | Spin stiffness, spectral weight, and Landau damping of magnons in metallic spiral magnets | We analyze the properties of magnons in metallic electron systems with spiral
magnetic order. Our analysis is based on the random phase approximation for the
susceptibilities of tight binding electrons with a local Hubbard interaction in
two or three dimensions. We identify three magnon branches from poles in the
susce... | 2202.05660v1 |
2022-02-12 | Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets | We propose a systematic and sequential expansion of the
Landau-Lifshitz-Gilbert equation utilizing the dependence of the Gilbert
damping tensor on the angle between magnetic moments, which arises from
multi-body scattering processes. The tensor consists of a damping-like term and
a correction to the gyromagnetic ratio.... | 2202.06154v1 |
2022-02-16 | On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping | This paper deals with a second order dynamical system with vanishing damping
that contains a Tikhonov regularization term, in connection to the minimization
problem of a convex Fr\'echet differentiable function $g$.
We show that for appropriate Tikhonov regularization parameters the value of
the objective function in... | 2202.08980v1 |
2022-04-01 | Effect of interfacial spin mixing conductance on gyromagnetic ratio of Gd substituted Y$_{3}$Fe$_{5}$O$_{12}$ | Due to its low intrinsic damping, Y$_3$Fe$_5$O$_{12}$ and its substituted
variations are often used for ferromagnetic layer at spin pumping experiment.
Spin pumping is an interfacial spin current generation in the interface of
ferromagnet and non-magnetic metal, governed by spin mixing conductance
parameter $G^{\uparro... | 2204.00310v1 |
2022-04-04 | A Vanka-based parameter-robust multigrid relaxation for the Stokes-Darcy Brinkman problems | We propose a block-structured multigrid relaxation scheme for solving the
Stokes-Darcy Brinkman equations discretized by the marker and cell scheme. An
element-based additive Vanka smoother is used to solve the corresponding
shifted Laplacian operator. Using local Fourier analysis, we present the
stencil for the additi... | 2204.01237v1 |
2022-04-19 | Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture | The main purpose of the present paper is to study the blow-up problem of the
wave equation with space-dependent damping in the \textit{scale-invariant case}
and time derivative nonlinearity with small initial data. Under appropriate
initial data which are compactly supported, by using a test function method and
taking ... | 2204.09156v1 |
2022-04-28 | Strong coupling of quantum emitters and the exciton polariton in MoS$_2$ nanodisks | As a quasiparticle formed by light and excitons in semiconductors, the
exciton-polariton (EP) as a quantum bus is promising for the development of
quantum interconnect devices at room temperature. However, the significant
damping of EPs in the material generally causes a loss of quantum information.
We propose a mechan... | 2204.13383v2 |
2022-05-09 | Scalable all-optical cold damping of levitated nanoparticles | The field of levitodynamics has made significant progress towards controlling
and studying the motion of a levitated nanoparticle. Motional control relies on
either autonomous feedback via a cavity or measurement-based feedback via
external forces. Recent demonstrations of measurement-based ground-state
cooling of a si... | 2205.04455v1 |
2022-06-08 | Thermal ion kinetic effects and Landau damping in fishbone modes | The kinetic-MHD hybrid simulation approach for macroscopic instabilities in
plasmas can be extended to include the kinetic effects of both thermal ions and
energetic ions. The new coupling scheme includes synchronization of density and
parallel velocity between thermal ions and MHD, in addition to pressure
coupling, to... | 2206.03648v1 |
2022-07-12 | Resonant Multilevel Amplitude Damping Channels | We introduce a new set of quantum channels: resonant multilevel amplitude
damping (ReMAD) channels. Among other instances, they can describe energy
dissipation effects in multilevel atomic systems induced by the interaction
with a zero-temperature bosonic environment. At variance with the already known
class of multile... | 2207.05646v2 |
2022-07-14 | Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups | Let $G$ be a compact Lie group. In this article, we investigate the Cauchy
problem for a nonlinear wave equation with the viscoelastic damping on $G$.
More preciously, we investigate some $L^2$-estimates for the solution to the
homogeneous nonlinear viscoelastic damped wave equation on $G$ utilizing the
group Fourier t... | 2207.06645v3 |
2022-08-04 | Normal and Quasinormal Modes of Holographic Multiquark Star | The quadrupole normal-mode oscillation frequency $f_{n}$ of multiquark star
are computed for $n=1-5$. At the transition from low to high density multiquark
in the core region, the first 2 modes jump to larger values, a distinctive
signature of the presence of the high-density core. When the star oscillation
couples wit... | 2208.02761v2 |
2022-08-10 | Erasure qubits: Overcoming the $T_1$ limit in superconducting circuits | The amplitude damping time, $T_1$, has long stood as the major factor
limiting quantum fidelity in superconducting circuits, prompting concerted
efforts in the material science and design of qubits aimed at increasing $T_1$.
In contrast, the dephasing time, $T_{\phi}$, can usually be extended above
$T_1$ (via, e.g., dy... | 2208.05461v1 |
2022-08-12 | Critical exponent for nonlinear wave equations with damping and potential terms | The aim of this paper is to determine the critical exponent for the nonlinear
wave equations with damping and potential terms of the scale invariant order,
by assuming that these terms satisfy a special relation. We underline that our
critical exponent is different from the one for related equations such as the
nonline... | 2208.06106v3 |
2022-08-17 | Conservation laws and variational structure of damped nonlinear wave equations | All low-order conservation laws are found for a general class of nonlinear
wave equations in one dimension with linear damping which is allowed to be
time-dependent. Such equations arise in numerous physical applications and have
attracted much attention in analysis. The conservation laws describe
generalized momentum ... | 2208.08026v2 |
2022-08-27 | Impact of the free-streaming neutrinos to the second order induced gravitational waves | The damping effect of the free-streaming neutrinos on the second order
gravitational waves is investigated in detail. We solve the Boltzmann equation
and give the anisotropic stress induced by neutrinos to second order. The first
order tensor and its coupling with scalar perturbations induced gravitational
waves are co... | 2208.12948v1 |
2022-08-28 | The small mass limit for long time statistics of a stochastic nonlinear damped wave equation | We study the long time statistics of a class of semi--linear damped wave
equations with polynomial nonlinearities and perturbed by additive Gaussian
noise in dimensions 2 and 3. We find that if sufficiently many directions in
the phase space are stochastically forced, the system is exponentially
attractive toward its u... | 2208.13287v2 |
2022-08-30 | Results on high energy galactic cosmic rays from the DAMPE space mission | DAMPE (Dark Matter Particle Explorer) is a satellite-born experiment launched
in 2015 in a sun-synchronous orbit at 500 km altitude, and it has been taking
data in stable conditions ever since. Its main goals include the spectral
measurements up to very high energies, cosmic electrons/positrons and gamma
rays up to ten... | 2208.14300v2 |
2022-09-05 | Generation and routing of nanoscale droplet solitons without compensation of magnetic damping | Magnetic droplet soliton is a localized dynamic spin state which can serve as
a nanoscale information carrier and nonlinear oscillator. The present opinion
is that the formation of droplet solitons requires the compensation of magnetic
damping by a torque created by a spin-polarized electric current or pure spin
curren... | 2209.01893v1 |
2022-09-06 | Emergence of damped-localized excitations of the Mott state due to disorder | A key aspect of ultracold bosonic quantum gases in deep optical lattice
potential wells is the realization of the strongly interacting Mott insulating
phase. Many characteristics of this phase are well understood, however little
is known about the effects of a random external potential on its gapped
quasiparticle and q... | 2209.02435v2 |
2022-09-21 | Asymptotic profile of L^2-norm of solutions for wave equations with critical log-damping | We consider wave equations with a special type of log-fractional damping. We
study the Cauchy problem for this model in the whole space, and we obtain an
asymptotic profile and optimal estimates of solutions as time goes to infinity
in L^2-sense. A maximal discovery of this note is that under the effective
damping, in ... | 2209.10154v2 |
2022-09-25 | Origin of Immediate Damping of Coherent Oscillations in Photoinduced Charge Density Wave Transition | In stark contrast to the conventional charge density wave (CDW) materials,
the one-dimensional CDW on the In/Si(111) surface exhibits immediate damping of
the CDW oscillation during the photoinduced phase transition. Here, by
successfully reproducing the experimentally observed photoinduced CDW
transition on the In/Si(... | 2209.12135v1 |
2022-10-11 | QKD in the NISQ era: enhancing secure key rates via quantum error correction | Error mitigation is one of the key challenges in realising the full potential
of quantum cryptographic protocols. Consequently, there is a lot of interest in
adapting techniques from quantum error correction (QEC) to improve the
robustness of quantum cryptographic protocols. In this work, we benchmark the
performance o... | 2210.05297v1 |
2022-10-17 | Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{PT}$ symmetry, K symmetry and localized damping | We study an imaginary stark ladder model and propose a realization of the
model in a dissipative chain with linearly increasing site-dependent
dissipation strength. Due to the existence of a $K$-symmetry and passive
$\mathcal{PT}$ symmetry, the model exhibits quite different feature from its
Hermitian counterpart. With... | 2210.08725v3 |
2022-10-18 | A quasi-local inhomogeneous dielectric tensor for arbitrary distribution functions | Treatments of plasma waves usually assume homogeneity, but the parallel
gradients ubiquitous in plasmas can modify wave propagation and absorption. We
derive a quasilocal inhomogeneous correction to the plasma dielectric for
arbitrary distributions by expanding the phase correlation integral and develop
a novel integra... | 2210.10214v1 |
2022-11-04 | On the collisional damping of plasma velocity space instabilities | For plasma velocity space instabilities driven by particle distributions
significantly deviated from a Maxwellian, weak collisions can damp the
instabilities by an amount that is significantly beyond the collisional rate
itself. This is attributed to the dual role of collisions that tend to relax
the plasma distributio... | 2211.02723v3 |
2022-11-12 | Exponential Stability and exact controllability of a system of coupled wave equations by second order terms (via Laplacian) with only one non-smooth local damping | The purpose of this work is to investigate the exponential stability of a
second order coupled wave equations by laplacian with one locally internal
viscous damping. Firstly, using a unique continuation theorem combined with a
Carleman estimate, we prove that our system is strongly stable without any
geometric conditio... | 2211.06706v2 |
2022-11-10 | Generalized Bagley-Torvik Equation and Fractional Oscillators | In this paper the Bagley-Torvik Equation is considered with the order of the
damping term allowed to range between one and two. The solution is found to be
representable as a convolution of trigonometric and exponential functions with
the driving force. The properties of the effective decay rate and the
oscillation fre... | 2211.07575v1 |
2022-11-21 | Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques | In this paper we are interested in the upper bound of the lifespan estimate
for the compressible Euler system with time dependent damping and small initial
perturbations. We employ some techniques from the blow-up study of nonlinear
wave equations. The novelty consists in the introduction of tools from the
Orlicz space... | 2211.11377v1 |
2022-11-23 | The fractional Landau-Lifshitz-Gilbert equation | The dynamics of a magnetic moment or spin are of high interest to
applications in technology. Dissipation in these systems is therefore of
importance for improvement of efficiency of devices, such as the ones proposed
in spintronics. A large spin in a magnetic field is widely assumed to be
described by the Landau-Lifsh... | 2211.12889v1 |
2022-11-24 | A brief introduction to the mathematics of Landau damping | In these short, rather informal, expository notes I review the current state
of the field regarding the mathematics of Landau damping, based on lectures
given at the CIRM Research School on Kinetic Theory, November 14--18, 2022.
These notes are mainly on Vlasov-Poisson in $(x,v) \in \mathbb T^d \times
\mathbb R^d$ howe... | 2211.13707v1 |
2022-12-04 | Vibration suppression of a state-of-the-art wafer gripper | In this paper the implementation of piezoelectrics to a state-of-the-art
wafer gripper is investigated. The objective is to propose and validate a
solution method, which includes a mechanical design and control system, to
achieve at least 5% damping for two eigenmodes of a wafer gripper. This
objective serves as a 'pro... | 2212.01854v1 |
2022-12-20 | Algebra of L-banded Matrices | Convergence is a crucial issue in iterative algorithms. Damping is commonly
employed to ensure the convergence of iterative algorithms. The conventional
ways of damping are scalar-wise, and either heuristic or empirical. Recently,
an analytically optimized vector damping was proposed for memory
message-passing (iterati... | 2212.12431v3 |
2023-01-23 | Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance | We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain
of interacting qubits with one end coupled to a reservoir. The NM of several
non-Markovian spectral densities is assessed in terms of various quantum state
distance (QSD) measures. Our approach is based on the construction of the
density matr... | 2301.09323v2 |
2023-01-26 | Optimisation of Power Grid Stability Under Uncertainty | The increased integration of intermittent and decentralised forms of power
production has eroded the stability margins of power grids and made it more
challenging to ensure reliable and secure power transmission. Reliable grid
operation requires system-scale stability in response to perturbations in
supply or load; pre... | 2301.11215v1 |
2023-02-11 | Uniform stabilization for the semi-linear wave equation with nonlinear Kelvin-Voigt damping | This paper is concerned with the decay estimate of solutions to the
semilinear wave equation subject to two localized dampings in a bounded domain.
The first one is of the nonlinear Kelvin-Voigt type and is distributed around a
neighborhood of the boundary according to the Geometric Control Condition.
While the second ... | 2302.05667v1 |
2023-02-20 | Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schrödinger lattices | We consider damped and forced discrete nonlinear Schr\"odinger equations on
the lattice $\mathbb{Z}$. First we establish the existence of periodic and
quasiperiodic breather solutions for periodic and quasiperiodic driving,
respectively. Notably, quasiperiodic breathers cannot exist in the system
without damping and dr... | 2302.09869v2 |
2023-02-11 | Quasinormal modes, Hawking radiation and absorption of the massless scalar field for Bardeen black hole surrounded by perfect fluid dark matter | Bardeen black hole surrounded by perfect fluid dark matter for a massless
scalar field. Our result shows that the oscillation frequency of quasinormal
modes is enhanced as magnetic charge $g$ or the dark matter parameter $\alpha$
increases. For damping rate of quasinormal modes, the influence of them is
different. Spec... | 2302.10758v1 |
2023-02-24 | A Numerical Approach for Modeling the Shunt Damping of Thin Panels with Arrays of Separately Piezoelectric Patches | Two-dimensional thin plates are widely used in many aerospace and automotive
applications. Among many methods for the attenuation of vibration of these
mechanical structures, piezoelectric shunt damping is a promising way. It
enables a compact vibration damping method without adding significant mass and
volumetric occu... | 2302.12525v1 |
2023-02-27 | Enhancing quantum synchronization through homodyne measurement, noise and squeezing | Quantum synchronization has been a central topic in quantum nonlinear
dynamics. Despite rapid development in this field, very few have studied how to
efficiently boost synchronization. Homodyne measurement emerges as one of the
successful candidates for this task, but preferably in the semi-classical
regime. In our wor... | 2302.13465v2 |
2023-03-06 | Larmor precession in strongly correlated itinerant electron systems | Many-electron systems undergo a collective Larmor precession in the presence
of a magnetic field. In a paramagnetic metal, the resulting spin wave provides
insight into the correlation effects generated by the electron-electron
interaction. Here, we use dynamical mean-field theory to investigate the
collective Larmor p... | 2303.03468v2 |
2023-03-19 | Asymptotic-preserving finite element analysis of Westervelt-type wave equations | Motivated by numerical modeling of ultrasound waves, we investigate robust
conforming finite element discretizations of quasilinear and possibly nonlocal
equations of Westervelt type. These wave equations involve either a strong
dissipation or damping of fractional-derivative type and we unify them into one
class by in... | 2303.10743v1 |
2023-03-31 | Measurement of the cosmic p+He energy spectrum from 46 GeV to 316 TeV with the DAMPE space mission | Recent observations of the light component of the cosmic-ray spectrum have
revealed unexpected features that motivate further and more precise
measurements up to the highest energies. The Dark Matter Particle Explorer
(DAMPE) is a satellite-based cosmic-ray experiment that is operational since
December 2015, continuous... | 2304.00137v4 |
2023-04-18 | Edge-selective extremal damping from topological heritage of dissipative Chern insulators | One of the most important practical hallmarks of topological matter is the
presence of topologically protected, exponentially localised edge states at
interfaces of regions characterised by unequal topological invariants. Here, we
show that even when driven far from their equilibrium ground state, Chern
insulators can ... | 2304.09040v3 |
2023-04-25 | Weakly damped bosons and precursor gap in the vicinity of an antiferromagnetic metallic transition | We study the electronic spectral function of a metal in the vicinity of an
antiferromagnetic (AFM) quantum critical point, focusing on a situation where
the bare bandwidth of the spin fluctuations is significantly smaller than the
Fermi energy. In this limit, we identify a range of energies where the
fermionic quasipar... | 2304.12697v1 |
2023-05-04 | Vibrational resonance in a damped and two-frequency driven system of particle on a rotating parabola | In the present work, we examine the role of nonlinearity in vibrational
resonance (VR) of a forced and damped form of a velocity-dependent potential
system. Many studies have focused on studying the vibrational resonance in
different potentials, like bistable potential, asymmetrically deformed
potential, and rough pote... | 2305.02674v1 |
2023-05-06 | Stochastic wave equation with Hölder noise coefficient: well-posedness and small mass limit | We construct unique martingale solutions to the damped stochastic wave
equation $$ \mu \frac{\partial^2u}{\partial t^2}(t,x)=\Delta
u(t,x)-\frac{\partial u}{\partial
t}(t,x)+b(t,x,u(t,x))+\sigma(t,x,u(t,x))\frac{dW_t}{dt},$$
where $\Delta$ is the Laplacian on $[0,1]$ with Dirichlet boundary condition,
$W$ is space-ti... | 2305.04068v2 |
2023-05-08 | Information capacity analysis of fully correlated multi-level amplitude damping channels | The primary objective of quantum Shannon theory is to evaluate the capacity
of quantum channels. In spite of the existence of rigorous coding theorems that
quantify the transmission of information through quantum channels,
superadditivity effects limit our understanding of the channel capacities. In
this paper, we main... | 2305.04481v2 |
2023-05-19 | Cold damping of levitated optically coupled nanoparticles | Methods for controlling the motion of single particles, optically levitated
in vacuum, have developed rapidly in recent years. The technique of cold
damping makes use of feedback-controlled, electrostatic forces to increase
dissipation without introducing additional thermal fluctuations. This process
has been instrumen... | 2305.11809v1 |
2023-05-25 | Damping of three-dimensional waves on coating films dragged by moving substrates | Paints and coatings often feature interfacial defects due to disturbances
during the deposition process which, if they persist until solidification,
worsen the product quality. In this article, we investigate the stability of a
thin liquid film dragged by a vertical substrate moving against gravity, a flow
configuratio... | 2305.16139v3 |
2023-06-12 | Realizable Eddy Damped Markovian Anisotropic Closure for Turbulence and Rossby Wave Interactions | A realizable Eddy Damped Markovian Anisotropic Closure (EDMAC) is presented
for the interaction of two dimensional turbulence and transient waves such as
Rossby waves. The structure of the EDMAC ensures that it is as computationally
efficient as the Eddy Damped Quasi Normal Markovian (EDQNM) closure but unlike
the EDQN... | 2306.06921v1 |
2023-06-18 | Partial data inverse problem for hyperbolic equation with time-dependent damping coefficient and potential | We study an inverse problem of determining a time-dependent damping
coefficient and potential appearing in the wave equation in a compact
Riemannian manifold of dimension three or higher. More specifically, we are
concerned with the case of conformally transversally anisotropic manifolds, or
in other words, compact Rie... | 2306.10442v2 |
2023-06-26 | Blow-up result for a weakly coupled system of wave equations with a scale-invariant damping, mass term and time derivative nonlinearity | We study in this article the blow-up of solutions to a coupled semilinear
wave equations which are characterized by linear damping terms in the
\textit{scale-invariant regime}, time-derivative nonlinearities, mass terms and
Tricomi terms. The latter are specifically of great interest from both physical
and mathematical... | 2306.14768v1 |
2023-06-26 | Revisiting the damped quantum harmonic oscillator | We reanalyse the quantum damped harmonic oscillator, introducing three less
than common features. These are (i) the use of a continuum model of the
reservoir rather than an ensemble of discrete oscillators, (ii) an exact
diagonalisation of the Hamiltonian by adapting a technique pioneered by Fano,
and (iii) the use of ... | 2306.15013v1 |
2023-06-27 | SPDER: Semiperiodic Damping-Enabled Object Representation | We present a neural network architecture designed to naturally learn a
positional embedding and overcome the spectral bias towards lower frequencies
faced by conventional implicit neural representation networks. Our proposed
architecture, SPDER, is a simple MLP that uses an activation function composed
of a sinusoidal ... | 2306.15242v1 |
2023-07-03 | Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping | We present a new gradient-like dynamical system related to unconstrained
convex smooth multiobjective optimization which involves inertial effects and
asymptotic vanishing damping. To the best of our knowledge, this system is the
first inertial gradient-like system for multiobjective optimization problems
including asy... | 2307.00975v3 |
2023-07-05 | Strong convergence rates for a full discretization of stochastic wave equation with nonlinear damping | The paper establishes the strong convergence rates of a spatio-temporal full
discretization of the stochastic wave equation with nonlinear damping in
dimension one and two. We discretize the SPDE by applying a spectral Galerkin
method in space and a modified implicit exponential Euler scheme in time. The
presence of th... | 2307.01975v1 |
2023-07-12 | Decoherence effects on lepton number violation from heavy neutrino-antineutrino oscillations | We study decoherence effects and phase corrections in heavy
neutrino-antineutrino oscillations (NNOs), based on quantum field theory with
external wave packets. Decoherence damps the oscillation pattern, making it
harder to resolve experimentally. Additionally, it enhances lepton number
violation (LNV) for processes in... | 2307.06208v1 |
2023-07-23 | Visco-elastic damped wave models with time-dependent coefficient | In this paper, we study the following Cauchy problem for linear visco-elastic
damped wave models with a general time-dependent coefficient $g=g(t)$:
\begin{equation} \label{EqAbstract} \tag{$\star$} \begin{cases} u_{tt}- \Delta
u + g(t)(-\Delta)u_t=0, &(t,x) \in (0,\infty) \times \mathbb{R}^n, \\ u(0,x)=
u_0(x),\quad u... | 2307.12340v1 |
2023-07-24 | Phonon damping in a 2D superfluid: insufficiency of Fermi's golden rule at low temperature | It is generally accepted that the phonon gas of a superfluid always enters a
weak coupling regime at sufficiently low temperatures, whatever the strength of
the interactions between the underlying particles (constitutive of the
superfluid). Thus, in this limit, we should always be able to calculate the
damping rate of ... | 2307.12705v1 |
2023-08-01 | Regularity for the Timoshenko system with fractional damping | We study, the Regularity of the Timoshenko system with two fractional
dampings $(-\Delta)^\tau u_t$ and $(-\Delta)^\sigma \psi_t$; both of the
parameters $(\tau, \sigma)$ vary in the interval $[0,1]$. We note that
($\tau=0$ or $\sigma=0$) and ($\tau=1$ or $\sigma=1$) the dampings are called
frictional and viscous, resp... | 2308.00573v2 |
2023-09-06 | Effective Description of the Quantum Damped Harmonic Oscillator: Revisiting the Bateman Dual System | In this work, we present a quantization scheme for the damped harmonic
oscillator (QDHO) using a framework known as momentous quantum mechanics. Our
method relies on a semiclassical dynamical system derived from an extended
classical Hamiltonian, where the phase-space variables are given by expectation
values of observ... | 2309.02689v1 |
2023-09-09 | Secondary cosmic-ray nuclei in the model of Galactic halo with nonlinear Landau damping | We employ our recent model of the cosmic-ray (CR) halo by Chernyshov et al.
(2022) to compute the Galactic spectra of stable and unstable secondary nuclei.
In this model, confinement of the Galactic CRs is entirely determined by the
self-generated Alfvenic turbulence whose spectrum is controlled by nonlinear
Landau dam... | 2309.04772v1 |
2023-09-20 | On the damping of tidally driven oscillations | Expansions in the oscillation modes of tidally perturbed bodies provide a
useful framework for representing tidally induced flows. However, recent work
has demonstrated that such expansions produce inaccurate predictions for
secular orbital evolution when mode damping rates are computed independently.
We explore the co... | 2309.11502v1 |
2023-10-12 | Plasmon dispersion and Landau damping in the nonlinear quantum regime | We study the dispersion properties of electron plasma waves, or plasmons,
which can be excited in quantum plasmas in the nonlinear regime. In order to
describe nonlinear electron response to finite amplitude plasmons, we apply the
Volkov approach to non-relativistic electrons. For that purpose, we use the
Schr\"odinger... | 2310.08544v1 |
2023-10-29 | Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity | In this article we investigate the asymptotic profile of solutions for the
Cauchy problem of the nonlinear damped beam equation with two variable
coefficients: \[ \partial_t^2 u + b(t) \partial_t u - a(t) \partial_x^2 u +
\partial_x^4 u
= \partial_x \left( N(\partial_x u) \right). \] In the authors' previous
article ... | 2310.18878v1 |
2023-11-09 | Landau Damping in an Electron Gas | Material science methods aim at developing efficient computational schemes
for describing complex many-body effects and how they are revealed in
experimentally measurable properties. Bethe-Salpeter equation in the
self-consistent Hartree-Fock basis is often used for this purpose, and in this
paper we employ the real-fr... | 2311.05611v2 |
2023-11-11 | On asymptotic properties of solutions to $σ$-evolution equations with general double damping | In this paper, we would like to consider the Cauchy problem for semi-linear
$\sigma$-evolution equations with double structural damping for any $\sigma\ge
1$. The main purpose of the present work is to not only study the asymptotic
profiles of solutions to the corresponding linear equations but also describe
large-time... | 2311.06660v1 |
2023-11-14 | Enhanced classical radiation damping of electronic cyclotron motion in the vicinity of the Van Hove singularity in a waveguide | We study the damping process of electron cyclotron motion and the resulting
emission in a waveguide using the classical Friedrichs model without relying on
perturbation analysis such as Fermi's golden rule. A classical Van Hove
singularity appears at the lower bound (or cut-off frequency) of the dispersion
associated w... | 2311.08121v3 |
2023-11-18 | The temperature dependent Boltzmann equation beyond local equilibrium assumption | In this manuscript, we present a temperature dependent Boltzmann equation for
the particles transport through a environmental reservoir, where the
temperature refers to the equilibrium temperature of reservoir, a new damping
force and a inverse damping relaxation time are derived based on the classical
Boltzmann equati... | 2311.11028v1 |
2023-12-13 | Integrating Superregenerative Principles in a Compact, Power-Efficient NMR/NQR Spectrometer: A Novel Approach with Pulsed Excitation | We present a new approach to Nuclear Quadrupole Resonance (NQR)/Nuclear
Magnetic Resonance (NMR) spectroscopy, the Damp-Enhanced Superregenerative
Nuclear Spin Analyser (DESSA). This system integrates Superregenerative
principles with pulsed sample excitation and detection, offering significant
advancements over tradit... | 2312.08491v1 |
2023-12-26 | Dynamical polarization function, plasmons, their damping and collective effects in semi-Dirac bands | We have calculated the dynamical polarization, plasmons and damping rates in
semi-Dirac bands (SDB's) with zero band gap and half-linear, half-parabolic
low-energy spectrum. The obtained plasmon dispersions are strongly anisotropic
and demonstrate some crucial features of both two-dimensional electron gas and
graphene.... | 2312.16117v1 |
2024-01-01 | Calculation of Gilbert damping and magnetic moment of inertia using torque-torque correlation model within ab initio Wannier framework | Magnetization dynamics in magnetic materials are well described by the
modified semiclassical Landau-Lifshitz-Gilbert (LLG) equation, which includes
the magnetic damping $\alpha$ and the magnetic moment of inertia $\mathrm{I}$
tensors as key parameters. Both parameters are material-specific and physically
represent the... | 2401.00714v1 |
2024-01-09 | Coherent errors in stabilizer codes caused by quasistatic phase damping | Quantum error correction is a key challenge for the development of practical
quantum computers, a direction in which significant experimental progress has
been made in recent years. In solid-state qubits, one of the leading
information loss mechanisms is dephasing, usually modelled by phase flip
errors. Here, we introd... | 2401.04530v2 |
2024-01-19 | Composite learning backstepping control with guaranteed exponential stability and robustness | Adaptive backstepping control provides a feasible solution to achieve
asymptotic tracking for mismatched uncertain nonlinear systems. However,
input-to-state stability depends on high-gain feedback generated by nonlinear
damping terms, and closed-loop exponential stability with parameter convergence
involves a stringen... | 2401.10785v1 |
2024-01-23 | Model-Free $δ$-Policy Iteration Based on Damped Newton Method for Nonlinear Continuous-Time H$\infty$ Tracking Control | This paper presents a {\delta}-PI algorithm which is based on damped Newton
method for the H{\infty} tracking control problem of unknown continuous-time
nonlinear system. A discounted performance function and an augmented system are
used to get the tracking Hamilton-Jacobi-Isaac (HJI) equation. Tracking HJI
equation is... | 2401.12882v1 |
2024-01-30 | The nonlinear dynamic behavior of a Rubber-Layer Roller Bearing (RLRB) for vibration isolation | In this paper, we study the dynamic behavior of a Rubber-Layer Roller Bearing
(RLRB) interposed between a spring-mass elemental superstructure and a
vibrating base. Thanks to the viscoelastic rolling contact between the rigid
rollers and the rubber layers, the RLRB is able to provide a nonlinear damping
behavior. The e... | 2401.16880v1 |
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