publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2020-11-02 | On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction | We investigate the stability of three thermoelastic beam systems with
hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system,
providing a necessary and sufficient condition for the exponential stability
and the optimal polynomial decay rate when the condition is violated. Second,
we obtain analogou... | 2011.00994v2 |
2020-11-21 | A Trace-restricted Kronecker-Factored Approximation to Natural Gradient | Second-order optimization methods have the ability to accelerate convergence
by modifying the gradient through the curvature matrix. There have been many
attempts to use second-order optimization methods for training deep neural
networks. Inspired by diagonal approximations and factored approximations such
as Kronecker... | 2011.10741v1 |
2020-12-12 | Stabilized explicit Adams-type methods | In this work we present explicit Adams-type multistep methods with extended
stability interval, which are analogous to the stabilized Chebyshev
Runge--Kutta methods. It is proved that for any $k\geq 1$ there exists an
explicit $k$-step Adams-type method of order one with stability interval of
length $2k$. The first ord... | 2012.06767v1 |
2020-12-18 | Intermodal Brillouin scattering in solid-core photonic crystal fibers | We investigate intermodal forward Brillouin scattering in a solid-core PCF,
demonstrating efficient power conversion between the HE11 and HE21 modes, with
a maximum gain coefficient of 21.4/W/km. By exploring mechanical modes of
different symmetries, we observe both polarization-dependent and
polarization-independent i... | 2012.10007v1 |
2021-04-25 | Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities | We considered the multiphoton resonance in the periodically driven quantum
oscillator with Kerr nonlinearity in the presence of weak high-order
nonlinearities. Multiphoton resonance leads to the emergence of peaks and dips
in the dependence of the stationary occupations of the stable states on
detuning. We demonstrated... | 2104.12140v2 |
2021-04-27 | Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation | We consider the Cauchy problem for the Burgers hierarchy with general time
dependent coefficients. The closed form for the Green's function of the
corresponding linear equation of arbitrary order $N$ is shown to be a sum of
generalised hypergeometric functions. For suitably damped initial conditions we
plot the time de... | 2104.12976v1 |
2021-05-27 | Polarization-dependent excitons and plasmon activity in nodal-line semimetal ZrSiS | The optical properties of bulk ZrSiS nodal-line semimetal are theoretically
studied within a many-body formalism. The G0W0 bands are similar to those
calculated within the density functional theory, except near the {\Gamma}
point; in particular, no significant differences are found around the Fermi
energy. On the other... | 2105.13285v1 |
2021-07-07 | Growth of Aggregates with Liquid-Like Ice-Shells in Protoplanetary Discs | During the first stages of planet formation, the collision growth of dust
aggregates in protoplanetary discs (PPDs) is interrupted at the bouncing
barrier. Dust aggregates coated by different species of ice turn out to be
helpful to shift the bouncing barrier towards larger sizes due to their
enhanced sticking properti... | 2107.03188v1 |
2021-07-08 | A Comparison of Data-Driven Techniques for Power Grid Parameter Estimation | Power grid parameter estimation involves the estimation of unknown
parameters, such as inertia and damping coefficients, using observed dynamics.
In this work, we present a comparison of data-driven algorithms for the power
grid parameter estimation problem. First, we propose a new algorithm to solve
the parameter esti... | 2107.03762v1 |
2021-08-09 | Learning Langevin dynamics with QCD phase transition | In this proceeding, the deep Convolutional Neural Networks (CNNs) are
deployed to recognize the order of QCD phase transition and predict the
dynamical parameters in Langevin processes. To overcome the intrinsic
randomness existed in a stochastic process, we treat the final spectra as
image-type inputs which preserve s... | 2108.03987v1 |
2021-08-21 | Consistent SPH simulations of the anisotropic dispersion of a contaminant plume | Solute transport through heterogeneous porous media is governed by fuid
advection, molecular diffusion and anisotropic dispersion. The dispersion is
assumed to obey Fick's law and the dispersion coefficient is defined as a
second rank tensor. However, this problem has revealed to be a very difficult
one because indepen... | 2108.09488v1 |
2021-11-01 | Retesting the no-hair theorem with GW150914 | For a distorted black hole (BH), its ringdown waveform is a superposition of
quasi-normal modes (QNMs). In general relativity (GR), the lower order QNM
frequencies and damping rates can be well approximated by a polynomial of BH's
dimensionless spin and overall scaled by BH's mass. That is to say, we can test
the no-ha... | 2111.00953v2 |
2021-11-17 | Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space | This paper aims to study the relationship between the timelike extremal
hypersurfaces and the classical minimal surfaces. This target also gives the
long time dynamics of timelike extremal hypersurfaces in Minkowski spacetime
$\mathbb{R}^{1+M}$ with the dimension $2\leq M\leq7$. In this dimension, the
stationary soluti... | 2111.08877v3 |
2021-11-17 | A Generalized Proportionate-Type Normalized Subband Adaptive Filter | We show that a new design criterion, i.e., the least squares on subband
errors regularized by a weighted norm, can be used to generalize the
proportionate-type normalized subband adaptive filtering (PtNSAF) framework.
The new criterion directly penalizes subband errors and includes a sparsity
penalty term which is mini... | 2111.08952v1 |
2021-12-07 | Complexity for Open Quantum System | We study the complexity for an open quantum system. Our system is a harmonic
oscillator coupled to a one-dimensional massless scalar field, which acts as
the bath. Specifically, we consider the reduced density matrix by tracing out
the bath degrees of freedom for both regular and inverted oscillator and
computed the co... | 2112.03955v1 |
2021-12-14 | Strong coupling in a Au plasmonic antenna-SiO$_{2}$ layer system: a hybrid mode analysis | A detailed analysis of the optical response of a system accommodating several
coupled modes is needed for the complete understanding of the strong coupling
effect. In this paper, we report on the analysis of scattering cross section
spectra of Au antennas on a SiO$_{2}$ layer on a Si substrate in the IR region.
A class... | 2112.07767v1 |
2021-12-22 | Dynamic structure factor of the magnetized one-component plasma: crossover from weak to strong coupling | Plasmas in strong magnetic fields have been mainly studied in two distinct
limiting cases--that of weak and strong nonideality with very different
physical properties. While the former is well described by the familiar theory
of Braginskii, the latter regime is closer to the behavior of a Coulomb liquid.
Here we study ... | 2112.11981v1 |
2021-12-29 | Stabilization results for delayed fifth order KdV-type equation in a bounded domain | Studied here is the Kawahara equation, a fifth order Korteweg-de Vries type
equation, with time-delayed internal feedback. Under suitable assumptions on
the time delay coefficients we prove that solutions of this system are
exponentially stable. First, considering a damping and delayed system, with
some restriction of ... | 2112.14854v1 |
2022-01-25 | Dissipative Hamiltonian Neural Networks: Learning Dissipative and Conservative Dynamics Separately | Understanding natural symmetries is key to making sense of our complex and
ever-changing world. Recent work has shown that neural networks can learn such
symmetries directly from data using Hamiltonian Neural Networks (HNNs). But
HNNs struggle when trained on datasets where energy is not conserved. In this
paper, we as... | 2201.10085v2 |
2022-02-08 | Spin waves in spin hydrodynamics | The propagation properties of spin degrees of freedom are analyzed in the
framework of relativistic hydrodynamics with spin based on the de Groot--van
Leeuwen--van Weert definitions of the energy-momentum and spin tensors. We
derive the analytical expression for the spin wave velocity for arbitrary
statistics and show ... | 2202.03952v2 |
2022-03-14 | Eliashberg theory of the Jahn-Teller-Hubbard model | We study a multiorbital Hubbard model coupled to local Jahn-Teller phonons to
investigate the superconducting state realized in fullerides. A weak-coupling
approach is employed in combination with a local self-energy approximation. In
addition to the normal and anomalous self-energies of the electrons, we
consider the ... | 2203.06946v1 |
2022-04-20 | A theoretical framework for the Hamiltonian of angular momentum optomechanical system | Photon carries linear momentum and angular momentum simultaneously. Within
the light-matter interaction process, exchange of linear momentum results in
optical forces, whereas exchange of angular momentum leads to optical torques.
Use of optical forces (light pressure or damping) have been long and wide in
quantum opto... | 2204.09446v2 |
2022-05-17 | Acoustic gravitational interaction revised | In this paper, we deduce the expression of the gravito-acoustic force between
two oscillating bubbles using the hypothesis that this type of force is a force
of scattering-absorption of the energy of excitatory waves. The expression of
the gravito-acoustic force at resonance highlights the dependence of this force
on t... | 2206.00435v1 |
2022-06-03 | Kinetic chemotaxis tumbling kernel determined from macroscopic quantities | Chemotaxis is the physical phenomenon that bacteria adjust their motions
according to chemical stimulus. A classical model for this phenomenon is a
kinetic equation that describes the velocity jump process whose
tumbling/transition kernel uniquely determines the effect of chemical stimulus
on bacteria. The model has be... | 2206.01629v2 |
2022-06-28 | Origin of the spontaneous oscillations in a simplified coagulation-fragmentation system driven by a source | We consider a system of aggregated clusters of particles, subjected to
coagulation and fragmentation processes with mass dependent rates. Each monomer
particle can aggregate with larger clusters, and each cluster can fragment into
individual monomers with a rate directly proportional to the aggregation rate.
The dynami... | 2206.13884v1 |
2022-07-25 | Modelling and well-posedness of evolutionary differential variational-hemivariational inequalities | In this paper, we study the well-posedness of a class of evolutionary
variational-hemivariational inequalities coupled with a nonlinear ordinary
differential equation in Banach spaces. The proof is based on an iterative
approximation scheme showing that the problem has a unique mild solution. In
addition, we establishe... | 2207.12284v2 |
2022-08-05 | Giant oscillations of diffusion in ac-driven periodic systems | We revisit the problem of diffusion in a driven system consisting of an
inertial Brownian particle moving in a symmetric periodic potential and
subjected to a symmetric time-periodic force. We reveal parameter domains in
which diffusion is normal in the long time limit and exhibits intriguing giant
damped quasiperiodic... | 2208.03223v2 |
2022-08-24 | Out-of-equilibrium optomechanical resonance self-excitation | The fundamental sensitivity limit of atomic force microscopy is strongly
correlated to the thermal noise of the cantilever oscillation. A method to
suppress this unwanted noise is to reduce the bandwidth of the measurement, but
this approach is limited by the speed of the measurement and the width of the
cantilever res... | 2208.11390v1 |
2022-09-19 | Stationary states of an active Brownian particle in a harmonic trap | We study the stationary states of an over-damped active Brownian particle
(ABP) in a harmonic trap in two dimensions, via mathematical calculations and
numerical simulations. In addition to translational diffusion, the ABP
self-propels with a certain velocity, whose magnitude is constant, but its
direction is subject t... | 2209.09184v2 |
2022-10-07 | Optimal Energy Shaping Control for a Backdrivable Hip Exoskeleton | Task-dependent controllers widely used in exoskeletons track predefined
trajectories, which overly constrain the volitional motion of individuals with
remnant voluntary mobility. Energy shaping, on the other hand, provides
task-invariant assistance by altering the human body's dynamic characteristics
in the closed loop... | 2210.03777v2 |
2022-10-18 | Nanoscale friction controlled by top layer thickness in [LaMnO$_{3}$]$_{m}$/[SrMnO$_{3}$]$_{n}$ superlattices | We conducted lateral force microscopy measurements on seven
[LaMnO$_{3}$]$_{m}$/[SrMnO$_{3}$]$_{n}$ superlattices with varied layer
thicknesses. We observe that the friction forces and the friction coefficients
initially increase with increasing LaMnO3 top layer thickness, followed by
saturation when the top layer thic... | 2210.09677v1 |
2022-12-15 | Resonant and off-resonant magnetoacoustic waves in epitaxial Fe$_3$Si/GaAs hybrid structures | Surface acoustic waves (SAWs) provide an efficient dynamical coupling between
strain and magnetization in micro/nano-metric devices. Using a hybrid device
composed of a piezoelectric, GaAs, and a ferromagnetic Heusler alloy thin film,
Fe$_3$Si, we are able to quantify the amplitude of magnetoacoustic waves
generated wi... | 2212.07994v1 |
2022-12-22 | State-and-rate friction in contact-line dynamics | In order to probe the dynamics of contact-line motion, we study the
macroscopic properties of sessile drops deposited on and then aspirated from
carefully prepared horizontal surfaces. By measuring the contact angle and drop
width simultaneously during droplet removal, we determine the changes in the
shape of the drop ... | 2212.11759v1 |
2023-02-07 | SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics | We introduce adversarial learning methods for data-driven generative modeling
of the dynamics of $n^{th}$-order stochastic systems. Our approach builds on
Generative Adversarial Networks (GANs) with generative model classes based on
stable $m$-step stochastic numerical integrators. We introduce different
formulations a... | 2302.03663v1 |
2023-02-26 | Topology optimization method with nonlinear diffusion | This paper is concerned with topology optimization based on a level set
method using (doubly) nonlinear diffusion equations. Topology optimization
using the level set method is called level set-based topology optimization,
which is possible to determine optimal configurations that minimize objective
functionals by upda... | 2302.13310v1 |
2023-02-27 | Natural Gradient Hybrid Variational Inference with Application to Deep Mixed Models | Stochastic models with global parameters $\bm{\theta}$ and latent variables
$\bm{z}$ are common, and variational inference (VI) is popular for their
estimation. This paper uses a variational approximation (VA) that comprises a
Gaussian with factor covariance matrix for the marginal of $\bm{\theta}$, and
the exact condi... | 2302.13536v1 |
2023-05-03 | An identification method for oscillators with response-dependent inertia | This paper is concerned with identifying the instantaneous modal parameters
of forced oscillatory systems with response-dependent generalized inertia
(mass, inductance, or equivalent) based on their measured dynamics. An
identification method is proposed, which is a variation of the "FORCEVIB"
method. The method utiliz... | 2305.02135v2 |
2023-05-06 | Asymptotic stability of Couette flow in a strong uniform magnetic field for the Euler-MHD system | In this paper, we prove the asymptotic stability of Couette flow in a strong
uniform magnetic field for the Euler-MHD system, when the perturbations are in
Gevrey-$\frac{1}{s}$, $(\frac12<s\leq 1)$ and of size smaller than the
resistivity coefficient $\mu$. More precisely, we prove (1) the
$\mu^{-\frac13}$-amplificatio... | 2305.04052v1 |
2023-05-06 | Robust optimization of control parameters for WEC arrays using stochastic methods | This work presents a new computational optimization framework for the robust
control of parks of Wave Energy Converters (WEC) in irregular waves. The power
of WEC parks is maximized with respect to the individual control damping and
stiffness coefficients of each device. The results are robust with respect to
the incid... | 2305.04130v2 |
2023-05-17 | Composite operators of stochastic model A | By means of the field-theoretic renormalization group, we study the damping
of the viscosity coefficient near the superfluid phase transition. We utilize
the fact that in the infrared region, the complex model used to describe the
phase transition belongs to the same universality class as the well-known
stochastic mode... | 2305.10094v1 |
2023-05-30 | Gravitational traces of bumblebee gravity in metric-affine formalism | This work explores various manifestations of bumblebee gravity within the
metric-affine formalism. We investigate the impact of the Lorentz violation
parameter, denoted as $X$, on the modification of the Hawking temperature. Our
calculations reveal that as $X$ increases, the values of the Hawking
temperature attenuate.... | 2305.18871v2 |
2023-06-22 | Global dynamics of a predator-prey model with alarm-taxis | This paper concerns with the global dynamics of classical solutions to an
important alarm-taxis ecosystem, which demonstrates the behaviors of prey that
attract secondary predator when threatened by primary predator. And the
secondary predator pursues the signal generated by the interaction of the prey
and primary pred... | 2306.12828v1 |
2023-07-13 | Current status and desired accuracy of the isotopic production cross-sections relevant to astrophysics of cosmic rays II. Fluorine to Silicon (and updated LiBeB) | High-precision cosmic-ray data from ongoing and recent past experiments
(Voyager, ACE-CRIS, PAMELA, ATIC, CREAM, NUCLEON, AMS-02, CALET, DAMPE) are
being released in the tens of MeV/n to multi-TeV/n energy range. Astrophysical
and dark matter interpretations of these data are limited by the precision of
nuclear product... | 2307.06798v1 |
2023-08-18 | Numerical analysis of the Maxwell-Cattaneo-Vernotte nonlinear model | In the literature, one can find numerous modifications of Fourier's law from
which the first one is called Maxwell-Cattaneo-Vernotte heat equation. Although
this model has been known for decades and successfully used to model
low-temperature damped heat wave propagation, its nonlinear properties are
rarely investigated... | 2308.09494v1 |
2023-08-20 | On the Approximation of Operator-Valued Riccati Equations in Hilbert Spaces | In this work, we present an abstract theory for the approximation of
operator-valued Riccati equations posed on Hilbert spaces. It is demonstrated
here, under the assumption of compactness in the coefficient operators, that
the error of the approximate solution to the operator-valued Riccati equation
is bounded above b... | 2308.10130v4 |
2023-09-14 | Where are the Pevatrons that Form the Knee in the Spectrum of the Cosmic Ray Nucleon Component around 4 PeV? | The paper discusses an approach that made it possible to estimate the
distance to the nearest pevatrons, which form a knee in the spectrum of the
cosmic ray nucleon component of about $4$ PeV. It is based on the spectra of
nucleons and electrons obtained by the authors in the framework of the
superdiffusion model of no... | 2309.07421v1 |
2023-09-25 | Magnetism on the thermal dynamics of 2D antiferromagnetic membranes | We developed a theoretical scheme of incorporating the magnetoelastic
contribution into the thermal elastic dynamics for the thin membranes of 2D
antiferromagnetic material with restricted geometry. We extended the elastic
Gr\"uneisen relation into an effective version which includes the magnetic
counterpart to the vol... | 2309.13991v2 |
2023-09-27 | Stochastic Differential Equation for a System Coupled to a Thermostatic Bath via an Arbitrary Interaction Hamiltonian | The conventional Langevin equation offers a mathematically convenient
framework for investigating open stochastic systems interacting with their
environment or a bath. However, it is not suitable for a wide variety of
systems whose dynamics rely on the nature of the environmental interaction, as
the equation does not i... | 2309.15359v1 |
2023-09-28 | A Lagrangian theory for galaxy shape statistics | We formulate the Lagrangian perturbation theory of galaxy intrinsic
alignments and compute the resulting auto and cross power spectra of galaxy
shapes, densities and matter to 1-loop order. Our model represents a consistent
effective-theory description of galaxy shape including the resummation of
long-wavelength displa... | 2309.16761v2 |
2023-10-09 | Anomaly and Brownian fluid particle in Navier-Stokes turbulence | We investigate the Navier-Stokes turbulence driven by a stochastic random
Gaussian force. Using a field-theoretic approach, we uncover an anomaly that
brings hidden structure to the theory. The anomaly is generated by a
non-self-adjoint operator of the Jacobian and it follows the symmetries of the
stochastic Navier-Sto... | 2310.06007v3 |
2023-10-23 | Forget metamaterial: It does not improve sound absorption performance as it claims | The term `sub-wavelength' is commonly used to describe innovative
sound-absorbing structures usually labeled as `metamaterials'. Such structures,
however, inherently do not bring groundbreaking advancements. This study
addresses the limitations imposed by the thickness criterion of Yang et al. by
introducing the concep... | 2310.14638v1 |
2023-10-30 | Optimal control theory for maximum power of Brownian heat engines | The pursuit of achieving the maximum power in microscopic thermal engines has
gained increasing attention in recent studies of stochastic thermodynamics. We
employ the optimal control theory to study the performance of Brownian heat
engines and determine the optimal heat-engine cycles in generic damped
situation, which... | 2310.19622v1 |
2023-11-15 | On the interaction between compressible inviscid flow and an elastic plate | We address a free boundary model for the compressible Euler equations where
the free boundary, which is elastic, evolves according to a weakly damped
fourth order hyperbolic equation forced by the fluid pressure. This system
captures the interaction of an inviscid fluid with an elastic plate. We
establish a priori esti... | 2311.08731v1 |
2023-11-28 | Data-Driven Constraints on Cosmic-Ray Diffusion: Probing Self-Generated Turbulence in the Milky Way | We employ a data-driven approach to investigate the rigidity and spatial
dependence of the diffusion of cosmic rays in the turbulent magnetic field of
the Milky Way. Our analysis combines data sets from the experiments Voyager,
AMS-02, CALET, and DAMPE for a range of cosmic ray nuclei from protons to
oxygen. Our findin... | 2311.17150v1 |
2023-12-13 | Efficient solution of sequences of parametrized Lyapunov equations with applications | Sequences of parametrized Lyapunov equations can be encountered in many
application settings. Moreover, solutions of such equations are often
intermediate steps of an overall procedure whose main goal is the computation
of quantities of the form $f(X)$ where $X$ denotes the solution of a Lyapunov
equation. We are inter... | 2312.08201v1 |
2023-12-24 | Resonance effects for linear wave equations with scale invariant oscillating damping | We consider an abstract linear wave equation with a time-dependent
dissipation that decays at infinity with the so-called scale invariant rate,
which represents the critical case. We do not assume that the coefficient of
the dissipation term is smooth, and we investigate the effect of its
oscillations on the decay rate... | 2312.15531v2 |
2024-01-26 | Maximum plasmon thermal conductivity of a thin metal film | Due to their extremely long propagation lengths compared to the wavelengths,
surface plasmon polaritons (SPPs) have been considered as a key in enhancing
thermal conductivity in thin metal films. This study explores the conditions at
which the plasmon thermal conductivity is maximized, considering the
thickness-depende... | 2401.14677v1 |
2024-02-19 | Subspace methods for the simulation of molecular response properties on a quantum computer | We explore Davidson methods for obtaining excitation energies and other
linear response properties within quantum self-consistent linear response
(q-sc-LR) theory. Davidson-type methods allow for obtaining only a few selected
excitation energies without explicitly constructing the electronic Hessian
since they only req... | 2402.12186v1 |
2024-03-06 | Non-homogeneous anisotropic bulk viscosity for acoustic wave attenuation in weakly compressible methods | A major limitation of the weakly compressible approaches to simulate
incompressible flows is the appearance of artificial acoustic waves that
introduce a large mass conservation error and lead to spurious oscillations in
the force coefficients. In this work, we propose a non-homogeneous anisotropic
bulk viscosity term ... | 2403.03475v1 |
2024-03-07 | Experimental amplification and squeezing of a motional state of an optically levitated nanoparticle | A contactless control of fluctuations of phase space variables of a
nanoobject belongs among the key methods needed for ultra-precise
nanotechnology and the upcoming quantum technology of macroscopic systems. Here
we utilize the experimental platform of a single levitating nanoparticle (NP)
to demonstrate essential pro... | 2403.04302v1 |
2024-03-14 | Dynamical Friction and Black Holes in Ultralight Dark Matter Solitons | We numerically simulate the motion of a black hole as it plunges radially
through an ultralight dark matter soliton. We investigate the timescale in
which dynamical friction reduces the kinetic energy of the black hole to a
minimum, and consider the sensitivity of this timescale to changes in the ULDM
particle mass, th... | 2403.09038v1 |
2024-03-21 | Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems | In this work, we present an efficient approach to solve nonlinear
high-contrast multiscale diffusion problems. We incorporate the
explicit-implicit-null (EIN) method to separate the nonlinear term into a
linear term and a damping term, and then utilise the implicit and explicit time
marching scheme for the two parts re... | 2403.14220v1 |
2024-03-13 | The q-ary Gilbert-Varshamov bound can be improved for all but finitely many positive integers q | For any positive integer $q\geq 2$ and any real number $\delta\in(0,1)$, let
$\alpha_q(n,\delta n)$ denote the maximum size of a subset of $\mathbb{Z}_q^n$
with minimum Hamming distance at least $\delta n$, where
$\mathbb{Z}_q=\{0,1,\dotsc,q-1\}$ and $n\in\mathbb{N}$. The asymptotic rate
function is defined by $ R_q(\d... | 2403.08727v2 |
2002-06-27 | Initial-amplitude dependence in weakly damped oscillators | A pedagogically instructive experimental procedure is suggested for
distinguishing between different damping terms in a weakly damped oscillator,
which highclights the connection between non-linear damping and
initial-amplitude dependence. The most common damping terms such as contact
friction, air resistance, viscous ... | 0206086v1 |
2006-05-22 | The entanglement of damped noon-state and its performance in phase measurement | The state evolution of the initial optical \textit{noon} state is
investigated. The residue entanglement of the state is calculated after it is
damped by amplitude and phase damping. The relative entropy of entanglement of
the damped state is exactly obtained. The performance of direct application of
the damped \textit... | 0605184v1 |
2007-10-04 | Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel | We consider error correction procedures designed specifically for the
amplitude damping channel. We analyze amplitude damping errors in the
stabilizer formalism. This analysis allows a generalization of the [4,1]
`approximate' amplitude damping code of quant-ph/9704002. We present this
generalization as a class of [2(M... | 0710.1052v1 |
2010-03-24 | Dynamical shift condition for unequal mass black hole binaries | Certain numerical frameworks used for the evolution of binary black holes
make use of a gamma driver, which includes a damping factor. Such simulations
typically use a constant value for damping. However, it has been found that
very specific values of the damping factor are needed for the calculation of
unequal mass bi... | 1003.4681v1 |
2011-11-30 | Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states | I derive an inequality in which the phase damping rates of single qubits set
an upper bound for the phase damping rate of entangled states of many qubits.
The derivation is based on two assumptions: first, that the phase damping can
be described by a dissipator in Lindblad form and, second, that the phase
damping prese... | 1111.7152v2 |
2012-05-11 | Quantum dynamics of the damped harmonic oscillator | The quantum theory of the damped harmonic oscillator has been a subject of
continual investigation since the 1930s. The obstacle to quantization created
by the dissipation of energy is usually dealt with by including a discrete set
of additional harmonic oscillators as a reservoir. But a discrete reservoir
cannot direc... | 1205.2545v1 |
2014-02-28 | Escape rate for the power-law distribution in low-to-intermediate damping | Escape rate in the low-to-intermediate damping connecting the low damping
with the intermediate damping is established for the power-law distribution on
the basis of flux over population theory. We extend the escape rate in the low
damping to the low-to-intermediate damping, and get an expression for the
power-law dist... | 1402.7194v2 |
2015-03-21 | On damping created by heterogeneous yielding in the numerical analysis of nonlinear reinforced concrete frame elements | In the dynamic analysis of structural engineering systems, it is common
practice to introduce damping models to reproduce experimentally observed
features. These models, for instance Rayleigh damping, account for the damping
sources in the system altogether and often lack physical basis. We report on an
alternative pat... | 1503.07122v1 |
2016-01-20 | Introduction to Landau Damping | The mechanism of Landau damping is observed in various systems from plasma
oscillations to accelerators. Despite its widespread use, some confusion has
been created, partly because of the different mechanisms producing the damping
but also due to the mathematical subtleties treating the effects. In this
article the ori... | 1601.05227v1 |
2018-07-25 | Regularity and asymptotic behaviour for a damped plate-membrane transmission problem | We consider a transmission problem where a structurally damped plate equation
is coupled with a damped or undamped wave equation by transmission conditions.
We show that exponential stability holds in the damped-damped situation and
polynomial stability (but no exponential stability) holds in the
damped-undamped case. ... | 1807.09730v1 |
2002-11-03 | Damping of coupled phonon--plasmon modes | The effect of free carriers on dispersion and damping of coupled
phonon-plasmon modes is considered in the long-wave approximation. The electron
and phonon scattering rate as well as Landau damping are taken into account. | 0211040v1 |
2002-02-01 | On "the authentic damping mechanism" of the phonon damping model | Some general features of the phonon damping model are presented. It is
concluded that the fits performed within this model have no physical content. | 0202006v1 |
2018-01-28 | Observations of excitation and damping of transversal oscillation in coronal loops by AIA/SDO | The excitation and damping of transversal coronal loop oscillations and
quantitative relation between damping time, damping quality (damping time per
period), oscillation amplitude, dissipation mechanism and the wake phenomena
are investigated. The observed time series data with the \textit{Atmospheric
Imaging Assembly... | 1801.09217v1 |
1999-11-16 | Probing supernovae ejecta by Halpha damping wings | It is predicted that H$\alpha$ emission line at the early nebular epoch of
type II-P supernovae may display robust observational effects of damping wings.
This is illustrated by Monte-Carlo simulations. The strength of damping wing
effects may be used to constrain parameters of the line-emitting zone. An
anomalous reds... | 9911300v1 |
2009-01-23 | Rheological Interpretation of Rayleigh Damping | Damping is defined through various terms such as energy loss per cycle (for
cyclic tests), logarithmic decrement (for vibration tests), complex modulus,
rise-time or spectrum ratio (for wave propagation analysis), etc. For numerical
modeling purposes, another type of damping is frequently used : it is called
Rayleigh d... | 0901.3717v1 |
2009-05-20 | Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation | We determine the general form of the asymptotics for Dirichlet eigenvalues of
the one-dimensional linear damped wave operator. As a consequence, we obtain
that given a spectrum corresponding to a constant damping term this determines
the damping term in a unique fashion. We also derive a trace formula for this
problem. | 0905.3242v1 |
2015-05-06 | Remarks on the asymptotic behavior of the solution of an abstract damped wave equation | We study an abstract damped wave equation. We prove that the solution of the
damped wave equation becomes closer to the solution of a heat type equation as
time tend to infinity. As an application of our approach, we also study the
asymptotic behavior of the damped wave equation in Euclidean space under the
geometric c... | 1505.01794v2 |
2017-01-18 | Two types of spurious damping forces potentially modeled in numerical seismic nonlinear response history analysis | The purpose of this paper is to provide practitioners with further insight
into spurious damping forces that can be generated in nonlinear seismic
response history analyses (RHA). The term 'spurious' is used to refer to
damping forces that are not present in an elastic system and appear as
nonlinearities develop: such ... | 1701.05092v1 |
2017-02-02 | Exponential stability for a coupled system of damped-undamped plate equations | We consider the transmission problem for a coupled system of undamped and
structurally damped plate equations in two sufficiently smooth and bounded
subdomains. It is shown that, independently of the size of the damped part, the
damping is strong enough to produce uniform exponential decay of the energy of
the coupled ... | 1702.00637v1 |
2017-09-11 | Comparison of damping mechanisms for transverse waves in solar coronal loops | We present a method to assess the plausibility of alternative mechanisms to
explain the damping of magnetohydrodynamic (MHD) transverse waves in solar
coronal loops. The considered mechanisms are resonant absorption of kink waves
in the Alfv\'en continuum, phase-mixing of Alfv\'en waves, and wave leakage.
Our methods m... | 1709.03347v1 |
2019-03-25 | Distributed Inter-Area Oscillation Damping Control for Power Systems by Using Wind Generators and Load Aggregators | This paper investigates the potential of wind turbine generators (WTGs) and
load aggregators (LAs) to provide supplementary damping control services for
low frequency inter-area oscillations (LFOs) through the additional distributed
damping control units (DCUs) proposed in their controllers. In order to provide
a scala... | 1903.10135v1 |
2020-12-05 | On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances | This report provides an interpretation on the periodically varying damping
ratio of a dynamical system with direct control of oscillation or vibration
damping. The principal parametric resonance of the system and a new type of
parametric resonance, named "zero-th order" parametric resonance, are
investigated by using t... | 2012.02932v1 |
2021-06-22 | Sharp decay rate for the damped wave equation with convex-shaped damping | We revisit the damped wave equation on two-dimensional torus where the damped
region does not satisfy the geometric control condition. We show that if the
damping vanishes as a H\"older function $|x|^{\beta}$, and in addition, the
boundary of the damped region is strictly convex, the wave is stable at rate
$t^{-1+\frac... | 2106.11782v3 |
2021-08-09 | Effect of stepwise adjustment of Damping factor upon PageRank | The effect of adjusting damping factor {\alpha}, from a small initial value
{\alpha}0 to the final desired {\alpha}f value, upon then iterations needed for
PageRank computation is observed. Adjustment of the damping factor is done in
one or more steps. Results show no improvement in performance over a fixed
damping fac... | 2108.04150v1 |
2021-08-17 | Asymptotic behaviour of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity | In this paper we prove the existence of the global attractor for the wave
equation with nonlocal weak damping, nonlocal anti-damping and critical
nonlinearity. | 2108.07395v2 |
1997-11-20 | Symmetric matrices and quantum codes | This paper has been withdrawn since a Gilbert-Varshamov bound for general
quantum codes has already appeared in Ekert and Macchiavello, Prys. Rev. Lett.
77, p. 2585, and a Gilbert-Varshamov bound for stabilizer codes connected with
orthogonal geometry, or equivalently, with symmetric matrices as in this paper,
has been... | 9711026v2 |
1994-06-09 | Black Holes from Blue Spectra | Blue primordial power spectra with a spectral index $n>1$ can lead to a
significant production of primordial black holes in the very early Universe.
The evaporation of these objects leads to a number of observational
consequences and a model independent upper limit of $n \approx 1.4$. In some
cases this limit is streng... | 9406028v1 |
1995-06-14 | Inversions in astronomy and the SOLA method | This paper was presented at the Institute for Mathematics and its
Applications workshop "Inverse problems in wave propagation" and will appear in
the series IMA volumes (Springer). A brief overview of applications of
inversions within astronomy is presented and also an inventory of techniques
commonly in use. Most of t... | 9506084v1 |
1997-11-11 | No Need for MACHOS in the Halo | A simple interpretation of the more than dozen microlensing events seen in
the direction of the LMC is a halo population of MACHOs which accounts for
about half of the mass of the Galaxy. Such an interpretation is not without its
problems, and we show that current microlensing data can, with some advantage,
be explaine... | 9711110v1 |
2006-02-11 | Likelihood Functions for Galaxy Cluster Surveys | Galaxy cluster surveys offer great promise for measuring cosmological
parameters, but survey analysis methods have not been widely studied. Using
methods developed decades ago for galaxy clustering studies, it is shown that
nearly exact likelihood functions can be written down for galaxy cluster
surveys. The sparse sam... | 0602251v3 |
2000-03-25 | Thermokinetic approach of the generalized Landau-Lifshitz-Gilbert equation with spin polarized current | In order to describe the recently observed effect of current induced
magnetization reversal in magnetic nanostructures, the thermokinetic theory is
applied to a metallic ferromagnet in contact with a reservoir of spin polarized
conduction electrons. The spin flip relaxation of the conduction electrons is
described ther... | 0003409v1 |
2004-05-26 | Nonequilibrium Extension of the Landau-Lifshitz-Gilbert Equation for Magnetic Systems | Using the invariant operator method for an effective Hamiltonian including
the radiation-spin interaction, we describe the quantum theory for
magnetization dynamics when the spin system evolves nonadiabatically and out of
equilibrium, $d \hat{\rho}/dt \neq 0$. It is shown that the vector parameter of
the invariant oper... | 0405599v1 |
2006-10-16 | Properties of Codes with the Rank Metric | In this paper, we study properties of rank metric codes in general and
maximum rank distance (MRD) codes in particular. For codes with the rank
metric, we first establish Gilbert and sphere-packing bounds, and then obtain
the asymptotic forms of these two bounds and the Singleton bound. Based on the
asymptotic bounds, ... | 0610099v2 |
1994-08-26 | On the Dirichlet problem for harmonic maps with prescribed singularities | Let $\M$ be a classical Riemannian globally symmetric space of rank one and
non-compact type. We prove the existence and uniqueness of solutions to the
Dirichlet problem for harmonic maps into $\M$ with prescribed singularities
along a closed submanifold of the domain. This generalizes our previous work
where such maps... | 9408005v1 |
1997-08-15 | One-Loop Minimization Conditions in the Minimal Supersymmetric Standard Model | We study, in the Minimal Supersymmetric Standard Model, the electroweak
symmetry breaking conditions obtained from the one-loop effective potential.
Novel model-independent lower and upper bounds on $\tan \beta$, involving the
other free parameters of the model, are inferred and determined analytically.
We discuss brie... | 9708368v1 |
2004-05-31 | On a Penrose Inequality with Charge | We construct a time-symmetric asymptotically flat initial data set to the
Einstein-Maxwell Equations which satisfies the inequality: m - 1/2(R + Q^2/R) <
0, where m is the total mass, R=sqrt(A/4) is the area radius of the outermost
horizon and Q is the total charge. This yields a counter-example to a natural
extension ... | 0405602v3 |
2004-07-26 | Automorphisms of free groups have asymptotically periodic dynamics | We show that every automorphism $\alpha$ of a free group $F_k$ of finite rank
$k$ has {\it asymptotically periodic} dynamics on $F_k$ and its boundary
$\partial F_k$: there exists a positive power $\alpha^q$ such that every
element of the compactum $F_k \cup \partial F_k$ converges to a fixed point
under iteration of $... | 0407437v2 |
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