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2014-02-25 | Du-Hwang Characteristic Area: Catch-22 | The paper is devoted to description of two interconnected mistakes generated
by the gap in the Du and Hwang approach to Gilbert-Pollack Steiner ratio
conjecture. | 1402.6079v1 |
2016-06-01 | Existence of arbitrarily smooth solutions of the LLG equation in 3D with natural boundary conditions | We prove that the Landau-Lifshitz-Gilbert equation in three space dimensions
with homogeneous Neumann boundary conditions admits arbitrarily smooth
solutions, given that the initial data is sufficiently close to a constant
function. | 1606.00086v1 |
2018-10-28 | Asymptotic Gilbert-Varshamov bound on Frequency Hopping Sequences | Given a $q$-ary frequency hopping sequence set of length $n$ and size $M$
with Hamming correlation $H$, one can obtain a $q$-ary (nonlinear) cyclic code
of length $n$ and size $nM$ with Hamming distance $n-H$. Thus, every upper
bound on the size of a code from coding theory gives an upper bound on the size
of a frequen... | 1810.11757v2 |
2020-05-26 | Reidemeister Moves in Gauss Diagrams | We provide a simple algorithm for recognizing and performing Reidemeister
moves in a Gauss diagram. | 2005.12957v1 |
2021-05-26 | Lee Weight for Nonbinary Quantum Error Correction | We propose the quantum Lee weight for quantum errors, provide a
Gilbert-Varshamov type bound, and a code construction for the proposed weight. | 2105.12354v1 |
2021-09-19 | Compactness of isospectral conformal Finslerian metrics set on a 3-manifold | Let F be a Finslerian metric on an n-dimensional closed manifold M. In this
work, we study problems about compactness of isospectral sets of conformal
Finslerian metrics when n=3. | 2110.06338v2 |
2001-05-31 | Lower bound for the quantum capacity of a discrete memoryless quantum channel | We generalize the random coding argument of stabilizer codes and derive a
lower bound on the quantum capacity of an arbitrary discrete memoryless quantum
channel. For the depolarizing channel, our lower bound coincides with that
obtained by Bennett et al. We also slightly improve the quantum
Gilbert-Varshamov bound for... | 0105151v4 |
2007-08-30 | Asymptotic improvement of the Gilbert-Varshamov bound for linear codes | The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary
code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1)
where V(n,d) stands for the volume of a Hamming ball of radius d. Recently
Jiang and Vardy showed that for binary non-linear codes this bound can be
improved to A_2(n,... | 0708.4164v1 |
2007-09-26 | Finite Element Formalism for Micromagnetism | The aim of this work is to present the details of the finite element approach
we developed for solving the Landau-Lifschitz-Gilbert equations in order to be
able to treat problems involving complex geometries. There are several
possibilities to solve the complex Landau-Lifschitz-Gilbert equations
numerically. Our metho... | 0709.4153v1 |
2009-05-07 | Heat transport in stochastic energy exchange models of locally confined hard spheres | We study heat transport in a class of stochastic energy exchange systems that
characterize the interactions of networks of locally trapped hard spheres under
the assumption that neighbouring particles undergo rare binary collisions. Our
results provide an extension to three-dimensional dynamics of previous ones
applyin... | 0905.1051v1 |
2011-08-15 | Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation | We consider a kinetic model of self-propelled particles with alignment
interaction and with precession about the alignment direction. We derive a
hydrodynamic system for the local density and velocity orientation of the
particles. The system consists of the conservative equation for the local
density and a non-conserva... | 1108.2951v1 |
2011-09-30 | Magnetization Dynamics, Gyromagnetic Relation, and Inertial Effects | The gyromagnetic relation - i.e. the proportionality between the angular
momentum $\vec L$ (defined by an inertial tensor) and the magnetization $\vec
M$ - is evidence of the intimate connections between the magnetic properties
and the inertial properties of ferromagnetic bodies. However, inertia is absent
from the dyn... | 1109.6782v1 |
2012-08-28 | Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions | The Suzuki-Trotter decomposition in general allows one to divide the equation
of motion of a dynamical system into smaller parts whose integration are easier
than the original equation. In this study, we first rewrite by employing
feasible approximations the modified Landau-Lifshitz-Gilbert equation for
localized spins... | 1208.5545v1 |
2013-11-20 | Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Permutation Codes | Given positive integers $n$ and $d$, let $M(n,d)$ denote the maximum size of
a permutation code of length $n$ and minimum Hamming distance $d$. The
Gilbert-Varshamov bound asserts that $M(n,d) \geq n!/V(n,d-1)$ where $V(n,d)$
is the volume of a Hamming sphere of radius $d$ in $\S_n$.
Recently, Gao, Yang, and Ge showe... | 1311.4925v1 |
2016-11-21 | On the List-Decodability of Random Self-Orthogonal Codes | In 2011, Guruswami-H{\aa}stad-Kopparty \cite{Gru} showed that the
list-decodability of random linear codes is as good as that of general random
codes. In the present paper, we further strengthen the result by showing that
the list-decodability of random {\it Euclidean self-orthogonal} codes is as
good as that of genera... | 1611.06673v1 |
2017-11-29 | Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation | Combining ideas from [Alouges et al. (Numer. Math., 128, 2014)] and
[Praetorius et al. (Comput. Math. Appl., 2017)], we propose a numerical
algorithm for the integration of the nonlinear and time-dependent
Landau-Lifshitz-Gilbert (LLG) equation which is unconditionally convergent,
formally (almost) second-order in time... | 1711.10715v1 |
2017-12-28 | Subquadratic time encodable codes beating the Gilbert-Varshamov bound | We construct explicit algebraic geometry codes built from the
Garcia-Stichtenoth function field tower beating the Gilbert-Varshamov bound for
alphabet sizes at least 192. Messages are identied with functions in certain
Riemann-Roch spaces associated with divisors supported on multiple places.
Encoding amounts to evalua... | 1712.10052v2 |
2018-11-15 | Hilbert-Schmidt distance and entanglement witnessing | Gilbert proposed an algorithm for bounding the distance between a given point
and a convex set. In this article we apply the Gilbert's algorithm to get an
upper bound on the Hilbert-Schmidt distance between a given state and the set
of separable states. While Hilbert Schmidt Distance does not form a proper
entanglement... | 1811.06599v3 |
2020-02-13 | Age of Information with Gilbert-Elliot Servers and Samplers | We study age of information in a status updating system that consists of a
single sampler, i.e., source node, that sends time-sensitive status updates to
a single monitor node through a server node. We first consider a Gilbert-Elliot
service profile at the server node. In this model, service times at the server
node fo... | 2002.05711v1 |
2005-08-26 | Damping of MHD turbulence in Solar Flares | (Abridged) We describe the cascade of plasma waves or turbulence injected,
presumably by reconnection, at scales comparable to the size of a solar flare
loop to scales comparable to particle gyroradii, and evaluate their damping by
various mechanisms. We show that the classical viscous damping is unimportant
for magnet... | 0508567v1 |
2011-07-27 | Constraint damping for the Z4c formulation of general relativity | One possibility for avoiding constraint violation in numerical relativity
simulations adopting free-evolution schemes is to modify the continuum
evolution equations so that constraint violations are damped away. Gundlach et.
al. demonstrated that such a scheme damps low amplitude, high frequency
constraint violating mo... | 1107.5539v2 |
1999-11-24 | Damped Lyman alpha absorber and the faint end of the galaxy luminosity function at high redshift | We combine predictions for several hierarchical cosmogonies with
observational evidence on damped Lyman alpha systems to establish a
correspondence between the high redshift galaxy population and the properties
of damped Lyman alpha systems. We assume that high redshift galaxies and damped
Lyman alpha systems are hoste... | 9911447v1 |
2003-03-13 | An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity | This paper introduces an extension of the time-splitting sine-spectral (TSSP)
method for solving damped focusing nonlinear Schr\"{o}dinger equations (NLS).
The method is explicit, unconditionally stable and time transversal invariant.
Moreover, it preserves the exact decay rate for the normalization of the wave
functio... | 0303158v1 |
2004-11-03 | Quantum probability applied to the damped harmonic oscillator | In this introductory course we sketch the framework of quantum probability in
order to discuss open quantum systems, in particular the damped harmonic
oscillator. | 0411024v1 |
2006-11-23 | Path integrals and wavepacket evolution for damped mechanical systems | Damped mechanical systems with various forms of damping are quantized using
the path integral formalism. In particular, we obtain the path integral kernel
for the linearly damped harmonic oscillator and a particle in a uniform
gravitational field with linearly or quadratically damped motion. In each case,
we study the ... | 0611239v1 |
2007-07-05 | Damping of bulk excitations over an elongated BEC - the role of radial modes | We report the measurement of Beliaev damping of bulk excitations in cigar
shaped Bose Einstein condensates of atomic vapor. By using post selection,
excitation line shapes of the total population are compared with those of the
undamped excitations. We find that the damping depends on the initial
excitation energy of th... | 0707.0776v1 |
2008-09-22 | Damping in 2D and 3D dilute Bose gases | Damping in 2D and 3D dilute gases is investigated using both the
hydrodynamical approach and the Hartree-Fock-Bogoliubov (HFB) approximation .
We found that the both methods are good for the Beliaev damping at zero
temperature and Landau damping at very low temperature, however, at high
temperature, the hydrodynamical ... | 0809.3632v3 |
2008-12-08 | Landau Damping and Alfven Eigenmodes of Neutron Star Torsion Oscillations | Torsion oscillations of the neutron star crust are Landau damped by the
Alfven continuum in the bulk. For strong magnetic fields (in magnetars),
undamped Alfven eigenmodes appear. | 0812.1570v1 |
2010-09-24 | Spatial Damping of Propagating Kink Waves in Prominence Threads | Transverse oscillations and propagating waves are frequently observed in
threads of solar prominences/filaments and have been interpreted as kink
magnetohydrodynamic (MHD) modes. We investigate the spatial damping of
propagating kink MHD waves in transversely nonuniform and partially ionized
prominence threads. Resonan... | 1009.4871v1 |
2012-08-01 | Artificial Neural Network Based Prediction of Optimal Pseudo-Damping and Meta-Damping in Oscillatory Fractional Order Dynamical Systems | This paper investigates typical behaviors like damped oscillations in
fractional order (FO) dynamical systems. Such response occurs due to the
presence of, what is conceived as, pseudo-damping and meta-damping in some
special class of FO systems. Here, approximation of such damped oscillation in
FO systems with the con... | 1208.0318v1 |
2012-08-27 | Optimization of the damped quantum search | The damped quantum search proposed in [A. Mizel, Phys. Rev. Lett., 102 150501
(2009)] was analyzed by calculating the highest possible probability of finding
the target state in each iteration. A new damping parameter that depends on the
number of iterations was obtained, this was compared to the critical damping
param... | 1208.5475v1 |
2013-04-03 | Damping the zero-point energy of a harmonic oscillator | The physics of quantum electromagnetism in an absorbing medium is that of a
field of damped harmonic oscillators. Yet until recently the damped harmonic
oscillator was not treated with the same kind of formalism used to describe
quantum electrodynamics in a arbitrary medium. Here we use the techniques of
macroscopic QE... | 1304.0977v2 |
2015-05-28 | Damping factors for head-tail modes at strong space charge | This paper suggests how feedback and Landau damping can be taken into account
for transverse oscillations of bunched beam at strong space charge. | 1505.07704v1 |
2015-06-18 | Damping of MHD turbulence in partially ionized plasma: implications for cosmic ray propagation | We study the damping from neutral-ion collisions of both incompressible and
compressible magnetohydrodynamic (MHD) turbulence in partially ionized medium.
We start from the linear analysis of MHD waves applying both single-fluid and
two-fluid treatments. The damping rates derived from the linear analysis are
then used ... | 1506.05585v1 |
2016-02-04 | Damping Evaluation for Free Vibration of Spherical Structures in Elastodynamic-Acoustic Interaction | This paper discusses the free vibration of elastic spherical structures in
the presence of an externally unbounded acoustic medium. In this vibration,
damping associated with the radiation of energy from the confined solid medium
to the surrounding acoustic medium is observed. Evaluating the coupled system
response (so... | 1604.06738v1 |
2017-09-05 | Enhancement of space-charge induced damping due to reactive impedances for head-tail modes | Landau damping of head-tail modes in bunches due to spreads in the tune shift
can be a deciding factor for beam stability. We demonstrate that the coherent
tune shifts due to reactive impedances can enhance the space-charge induced
damping and change the stability thresholds (here, a reactive impedance implies
the imag... | 1709.01425v1 |
2018-05-21 | Critical damping in nonviscously damped linear systems | In structural dynamics, energy dissipative mechanisms with non-viscous
damping are characterized by their dependence on the time-history of the
response velocity, mathematically represented by convolution integrals
involving hereditary functions. Combination of damping parameters in the
dissipative model can lead the s... | 1805.08022v1 |
2018-11-01 | Hereditary effects of exponentially damped oscillators with past histories | Hereditary effects of exponentially damped oscillators with past histories
are considered in this paper. Nonviscously damped oscillators involve
hereditary damping forces which depend on time-histories of vibrating motions
via convolution integrals over exponentially decaying functions. As a result,
this kind of oscill... | 1811.00216v1 |
2019-08-01 | The Temperature-dependent Damping of Propagating Slow Magnetoacoustic Waves | The rapid damping of slow magnetoacoustic waves in the solar corona has been
extensively studied in previous years. Most studies suggest that thermal
conduction is a dominant contributor to this damping, albeit with a few
exceptions. Employing extreme-ultraviolet (EUV) imaging data from SDO/AIA, we
measure the damping ... | 1908.00384v1 |
2019-10-14 | Decay rates for the damped wave equation with finite regularity damping | Decay rates for the energy of solutions of the damped wave equation on the
torus are studied. In particular, damping invariant in one direction and equal
to a sum of squares of nonnegative functions with a particular number of
derivatives of regularity is considered. For such damping energy decays at rate
$1/t^{2/3}$. ... | 1910.06372v3 |
2022-07-01 | Seismic Response of Yielding Structures Coupled to Rocking Walls with Supplemental Damping | Given that the coupling of a framing structure to a strong, rocking wall
enforces a first-mode response, this paper investigates the dynamic response of
a yielding single-degree-of-freedom oscillator coupled to a rocking wall with
supplemental damping (hysteretic or linear viscous) along its sides. The full
nonlinear e... | 2207.00641v1 |
2023-03-08 | Material-Geometry Interplay in Damping of Biomimetic Scale Beams | Biomimetic scale-covered substrates are architected meta-structures
exhibiting fascinating emergent nonlinearities via the geometry of collective
scales contacts. In spite of much progress in understanding their elastic
nonlinearity, their dissipative behavior arising from scales sliding is
relatively uninvestigated in... | 2303.04920v1 |
2023-04-11 | A comparison of 7 Tesla MR spectroscopic imaging and 3 Tesla MR fingerprinting for tumor localization in glioma patients | This paper investigates the correlation between magnetic resonance
spectroscopic imaging (MRSI) and magnetic resonance fingerprinting (MRF) in
glioma patients by comparing neuro-oncological markers obtained from MRSI to
T1/T2 maps from MRF.
Data from 12 consenting patients with gliomas were analyzed by defining
hotsp... | 2304.05254v1 |
1998-03-28 | Landau damping and the echo effect in a confined Bose-Einstein condensate | Low energy collective mode of a confined Bose-Einstein condensate should
demonstrate the echo effect in the regime of Landau damping. This echo is a
signature of reversible nature of Landau damping. General expression for the
echo profile is derived in the limit of small amplitudes of the external
pulses. Several unive... | 9803351v1 |
2000-07-10 | Dephasing of Electrons on Helium by Collisions with Gas Atoms | The damping of quantum effects in the transport properties of electrons
deposited on a surface of liquid helium is studied. It is found that due to
vertical motion of the helium vapour atoms the interference of paths of
duration $t$ is damped by a factor $\exp - (t/\tau_v)^3$. An expression is
derived for the weak-loca... | 0007160v1 |
1997-10-07 | Damping rate of plasmons and photons in a degenerate nonrelativistic plasma | A calculation is presented of the plasmon and photon damping rates in a dense
nonrelativistic plasma at zero temperature, following the resummation program
of Braaten-Pisarski. At small soft momentum $k$, the damping is dominated by $3
\to 2$ scattering processes corresponding to double longitudinal Landau
damping. The... | 9710260v1 |
2002-12-16 | Influence of damping on the vanishing of the electro-optic effect in chiral isotropic media | Using first principles, it is demonstrated that radiative damping alone
cannot lead to a nonvanishing electro-optic effect in a chiral isotropic
medium. This conclusion is in contrast with that obtained by a calculation in
which damping effects are included using the standard phenomenological model.
We show that these ... | 0212089v1 |
2005-08-28 | Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability | We give out the time evolution solution of simultaneous amplitude and phase
damping for any continuous variable state. For the simultaneous amplitude and
phase damping of a wide class of two- mode entangled Gaussian states, two
analytical conditions of the separability are given. One is the sufficient
condition of sepa... | 0508209v2 |
2007-05-14 | Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations | The Landau-Lifshitz equation reliably describes magnetization dynamics using
a phenomenological treatment of damping. This paper presents first-principles
calculations of the damping parameters for Fe, Co, and Ni that quantitatively
agree with existing ferromagnetic resonance measurements. This agreement
establishes th... | 0705.1990v1 |
2007-08-28 | Ising Dynamics with Damping | We show for the Ising model that is possible construct a discrete time
stochastic model analogous to the Langevin equation that incorporates an
arbitrary amount of damping. It is shown to give the correct equilibrium
statistics and is then used to investigate nonequilibrium phenomena, in
particular, magnetic avalanches... | 0708.3855v1 |
2008-02-08 | On the scaling of the damping time for resonantly damped oscillations in coronal loops | There is not as yet full agreement on the mechanism that causes the rapid
damping of the oscillations observed by TRACE in coronal loops. It has been
suggested that the variation of the observed values of the damping time as
function of the corresponding observed values of the period contains
information on the possibl... | 0802.1143v1 |
2008-10-02 | Critically damped quantum search | Although measurement and unitary processes can accomplish any quantum
evolution in principle, thinking in terms of dissipation and damping can be
powerful. We propose a modification of Grover's algorithm in which the idea of
damping plays a natural role. Remarkably, we have found that there is a
critical damping value ... | 0810.0470v1 |
2009-07-01 | Modal approximations to damped linear systems | We consider a finite dimensional damped second order system and obtain
spectral inclusion theorems for the related quadratic eigenvalue problem. The
inclusion sets are the 'quasi Cassini ovals' which may greatly outperform
standard Gershgorin circles. As the unperturbed system we take a modally damped
part of the syste... | 0907.0167v1 |
2010-01-14 | Multi-Error-Correcting Amplitude Damping Codes | We construct new families of multi-error-correcting quantum codes for the
amplitude damping channel. Our key observation is that, with proper encoding,
two uses of the amplitude damping channel simulate a quantum erasure channel.
This allows us to use concatenated codes with quantum erasure-correcting codes
as outer co... | 1001.2356v1 |
2011-09-05 | Spectral theory of damped quantum chaotic systems | We investigate the spectral distribution of the damped wave equation on a
compact Riemannian manifold, especially in the case of a metric of negative
curvature, for which the geodesic flow is Anosov. The main application is to
obtain conditions (in terms of the geodesic flow on $X$ and the damping
function) for which t... | 1109.0930v1 |
2012-06-07 | From resolvent estimates to damped waves | In this paper we show how to obtain decay estimates for the damped wave
equation on a compact manifold without geometric control via knowledge of the
dynamics near the un-damped set. We show that if replacing the damping term
with a higher-order \emph{complex absorbing potential} gives an operator
enjoying polynomial r... | 1206.1565v1 |
2012-12-03 | Inviscid limit of stochastic damped 2D Navier-Stokes equations | We consider the inviscid limit of the stochastic damped 2D Navier- Stokes
equations. We prove that, when the viscosity vanishes, the stationary solution
of the stochastic damped Navier-Stokes equations converges to a stationary
solution of the stochastic damped Euler equation and that the rate of
dissipation of enstrop... | 1212.0509v3 |
2014-01-13 | NLSE for quantum plasmas with the radiation damping | We consider contribution of the radiation damping in the quantum hydrodynamic
equations for spinless particles. We discuss possibility of obtaining of
corresponding non-linear Schrodinger equation (NLSE) for the macroscopic wave
function. We compare contribution of the radiation damping with weakly (or
semi-) relativis... | 1401.2829v1 |
2014-09-26 | An ultimate storage ring lattice with vertical emittance generated by damping wigglers | We discuss the approach of generating round beams for ultimate storage rings
using vertical damping wigglers (with horizontal magnetic field). The vertical
damping wigglers provide damping and excite vertical emittance. This eliminates
the need to generate large linear coupling that is impractical with traditional
off-... | 1409.7452v2 |
2017-03-01 | Behaviors of the energy of solutions of two coupled wave equations with nonlinear damping on a compact manifold with boundary | In this paper we study the behaviors of the the energy of solutions of
coupled wave equations on a compact manifold with boundary in the case of
indirect nonlinear damping . Only one of the two equations is directly damped
by a localized nonlinear damping term. Under geometric conditions on both the
coupling and the da... | 1703.00172v1 |
2017-06-02 | Vanishing viscosity limit for global attractors for the damped Navier--Stokes system with stress free boundary conditions | We consider the damped and driven Navier--Stokes system with stress free
boundary conditions and the damped Euler system in a bounded domain
$\Omega\subset\mathbf{R}^2$. We show that the damped Euler system has a
(strong) global attractor in~$H^1(\Omega)$. We also show that in the vanishing
viscosity limit the global a... | 1706.00607v1 |
2018-01-20 | Long time dynamics for weakly damped nonlinear Klein-Gordon equations | We continue our study of damped nonlinear Klein-Gordon equations. In our
previous work we considered fixed positive damping and proved a form of the
soliton resolution conjecture for radial solutions. In contrast, here we
consider damping which decreases in time to 0. In the class of radial data we
again establish soli... | 1801.06735v1 |
2018-02-28 | Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity | In our previous two works, we studied the blow-up and lifespan estimates for
damped wave equations with a power nonlinearity of the solution or its
derivative, with scattering damping independently. In this work, we are devoted
to establishing a similar result for a combined nonlinearity. Comparing to the
result of wav... | 1802.10273v1 |
2018-11-12 | Choking non-local magnetic damping in exchange biased ferromagnets | We investigated the temperature dependence of the magnetic damping in the
exchange biased Pt/ Fe50Mn50 /Fe20Ni80 /SiOx multilayers. In samples having a
strong exchange bias, we observed a drastic decrease of the magnetic damping of
the FeNi with increasing temperature up to the blocking temperature. The
results essenti... | 1811.04821v1 |
2019-05-23 | Escaping Locally Optimal Decentralized Control Polices via Damping | We study the evolution of locally optimal decentralized controllers with the
damping of the control system. Empirically it is shown that even for instances
with an exponential number of connected components, damping merges all local
solutions to the one global solution. We characterize the evolution of locally
optimal ... | 1905.09915v1 |
2019-08-22 | Some remarks on the asymptotic profile of solutions to structurally damped $σ$-evolution equations | In this paper, we are interested in analyzing the asymptotic profiles of
solutions to the Cauchy problem for linear structurally damped
$\sigma$-evolution equations in $L^2$-sense. Depending on the parameters
$\sigma$ and $\delta$ we would like to not only indicate approximation formula
of solutions but also recognize ... | 1908.08492v1 |
2019-09-18 | Global smooth solutions of the damped Boussinesq equations with a class of large initial data | The global regularity problem concerning the inviscid Boussinesq equations
remains an open problem. In an attempt to understand this problem, we examine
the damped Boussinesq equations and study how damping affects the regularity of
solutions. In this paper, we consider the global existence to the damped
Boussinesq equ... | 1909.08360v1 |
2020-02-15 | Asymptotic profile and optimal decay of solutions of some wave equations with logarithmic damping | We introduce a new model of the nonlocal wave equations with a logarithmic
damping mechanism. We consider the Cauchy poroblem for the new model in the
whole space. We study the asymptotic profile and optimal decay and blowup rates
of solutions as time goes to infinity. The damping terms considered in this
paper is not ... | 2002.06319v1 |
2020-05-13 | Weak Input to state estimates for 2D damped wave equations with localized and non-linear damping | In this paper, we study input-to-state (ISS) issues for damped wave equations
with Dirichlet boundary conditions on a bounded domain of dimension two. The
damping term is assumed to be non-linear and localized to an open subset of the
domain. In a first step, we handle the undisturbed case as an extension of a
previous... | 2005.06206v3 |
2020-07-25 | Decay for the Kelvin-Voigt damped wave equation: Piecewise smooth damping | We study the energy decay rate of the Kelvin-Voigt damped wave equation with
piecewise smooth damping on the multi-dimensional domain. Under suitable
geometric assumptions on the support of the damping, we obtain the optimal
polynomial decay rate which turns out to be different from the one-dimensional
case studied in ... | 2007.12994v2 |
2020-08-12 | From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation | Using a correspondence between the spectrum of the damped wave equation and
non-self-adjoint Schroedinger operators, we derive various bounds on complex
eigenvalues of the former. In particular, we establish a sharp result that the
one-dimensional damped wave operator is similar to the undamped one provided
that the L^... | 2008.05176v1 |
2021-08-02 | Wide-Area Damping Control for Interarea Oscillations in Power Grids Based on PMU Measurements | In this paper, a phasor measurement unit (PMU)-based wide-area damping
control method is proposed to damp the interarea oscillations that threaten the
modern power system stability and security. Utilizing the synchronized PMU
data, the proposed almost model-free approach can achieve an effective damping
for the selecte... | 2108.01193v1 |
2021-09-05 | Regularity of the semigroups associated with some damped coupled elastic systems II: a nondegenerate fractional damping case | In this paper, we examine regularity issues for two damped abstract elastic
systems; the damping and coupling involve fractional powers $\mu, \theta$, with
$0 \leq \mu , \theta \leq 1$, of the principal operators. The matrix defining
the coupling and damping is nondegenerate. This new work is a sequel to the
degenerate... | 2109.02044v1 |
2021-09-28 | A robust and efficient line search for self-consistent field iterations | We propose a novel adaptive damping algorithm for the self-consistent field
(SCF) iterations of Kohn-Sham density-functional theory, using a backtracking
line search to automatically adjust the damping in each SCF step. This line
search is based on a theoretically sound, accurate and inexpensive model for
the energy as... | 2109.14018v3 |
2021-11-17 | Spectral asymptotics for the vectorial damped wave equation | The eigenfrequencies associated to a scalar damped wave equation are known to
belong to a band parallel to the real axis. In [Sj{\"o}00] J. Sj{\"o}strand
showed that up to a set of density 0, the eigenfrequencies are confined in a
thinner band determined by the Birkhoff limits of the damping term. In this
article we sh... | 2111.08982v1 |
2021-12-13 | Rotons and their damping in elongated dipolar Bose-Einstein condensates | We discuss finite temperature damping of rotons in elongated Bose-condensed
dipolar gases, which are in the Thomas-Fermi regime in the tightly confined
directions. The presence of many branches of excitations which can participate
in the damping process, is crucial for the Landau damping and results in
significant incr... | 2112.06835v2 |
2022-03-12 | Asymptotic expansion of solutions to the wave equation with space-dependent damping | We study the large time behavior of solutions to the wave equation with
space-dependent damping in an exterior domain. We show that if the damping is
effective, then the solution is asymptotically expanded in terms of solutions
of corresponding parabolic equations. The main idea to obtain the asymptotic
expansion is th... | 2203.06360v1 |
2022-10-27 | Sharp polynomial decay for polynomially singular damping on the torus | We study energy decay rates for the damped wave equation with unbounded
damping, without the geometric control condition. Our main decay result is
sharp polynomial energy decay for polynomially controlled singular damping on
the torus. We also prove that for normally $L^p$-damping on compact manifolds,
the Schr\"odinge... | 2210.15697v3 |
2023-09-27 | Dispersion and damping of ion-acoustic waves in the plasma with a regularized kappa-distribution | The dispersion and damping of ion-acoustic waves in the plasma with a
regularized kappa-distribution are studied. The generalized dispersion relation
and damping rate are derived, which both depend significantly on the parameters
alpha and kappa. The numerical analyses show that the wave frequency and the
damping rate ... | 2309.15885v1 |
2023-11-16 | Near-optimal Closed-loop Method via Lyapunov Damping for Convex Optimization | We introduce an autonomous system with closed-loop damping for first-order
convex optimization. While, to this day, optimal rates of convergence are only
achieved by non-autonomous methods via open-loop damping (e.g., Nesterov's
algorithm), we show that our system is the first one featuring a closed-loop
damping while ... | 2311.10053v1 |
2024-02-05 | Fractional damping induces resonant behavior in the Duffing oscillator | The interaction between the fractional order parameter and the damping
parameter can play a relevant role for introducing different dynamical
behaviors in a physical system. Here, we study the Duffing oscillator with a
fractional damping term. Our findings show that for certain values of the
fractional order parameter,... | 2402.02940v1 |
2024-03-13 | Impact of Decoherence on Average Correlation | This article presents a comprehensive study of the impact of decoherence on
the average correlation for pure quantum states. We explore two primary
mechanisms of decoherence: phase damping and amplitude damping, each having
distinct effects on quantum systems. Phase damping, which describes the loss of
quantum coherenc... | 2403.10551v1 |
1998-02-18 | Damping rates of hot Giant Dipole Resonances | The damping rate of hot giant dipole resonances (GDR) is investigated.
Besides Landau damping we consider collisions and density fluctuations as
contributions to the damping of GDR. Within the nonequilibrium Green's function
method we derive a non-Markovian kinetic equation. The linearization of the
latter one leads to... | 9802052v2 |
2015-12-11 | Ultra-low magnetic damping of a metallic ferromagnet | The phenomenology of magnetic damping is of critical importance for devices
that seek to exploit the electronic spin degree of freedom since damping
strongly affects the energy required and speed at which a device can operate.
However, theory has struggled to quantitatively predict the damping, even in
common ferromagn... | 1512.03610v1 |
2020-05-12 | Effective Viscous Damping Enables Morphological Computation in Legged Locomotion | Muscle models and animal observations suggest that physical damping is
beneficial for stabilization. Still, only a few implementations of mechanical
damping exist in compliant robotic legged locomotion. It remains unclear how
physical damping can be exploited for locomotion tasks, while its advantages as
sensor-free, a... | 2005.05725v2 |
2022-02-10 | Non-stationary Anderson acceleration with optimized damping | Anderson acceleration (AA) has a long history of use and a strong recent
interest due to its potential ability to dramatically improve the linear
convergence of the fixed-point iteration. Most authors are simply using and
analyzing the stationary version of Anderson acceleration (sAA) with a constant
damping factor or ... | 2202.05295v1 |
2023-06-30 | A finite element method to compute the damping rate of oscillating fluids inside microfluidic nozzles | We introduce a finite element method for computing the damping rate of fluid
oscillations in nozzles of drop-on-demand (DoD) microfluidic devices. Accurate
knowledge of the damping rates for the least-damped oscillation modes following
droplet ejection is paramount for assessing jetting stability at higher jetting
freq... | 2307.00094v1 |
2024-01-18 | Multithermal apparent damping of slow waves due to strands with a Gaussian temperature distribution | Context. Slow waves in solar coronal loops are strongly damped. The current
theory of damping by thermal conduction cannot explain some observational
features.\n Aims. We investigate the propagation of slow waves in a coronal
loop built up from strands of different temperatures. \n Methods. We consider
the loop to have... | 2401.09803v1 |
2001-03-09 | Rayleigh Scattering and Microwave Background Fluctuations | During the recombination epoch, cosmic background photons couple not only to
free electrons through Thompson scattering, but also to the neutral hydrogen
through Rayleigh scattering. This latter is ~2% effect for photons near the
peak of the photon energy distribution at z=800 and a ~0.2% effect at z=1100.
Including Ra... | 0103149v3 |
2001-03-19 | Fluctuations in the Cosmic Microwave Background II: $C_\ell$ at Large and Small $\ell$ | General asymptotic formulas are given for the coefficient $C_\ell$ of the
term of multipole number $\ell$ in the temperature correlation function of the
cosmic microwave background, in terms of scalar and dipole form factors
introduced in a companion paper. The formulas apply in two overlapping limits:
for $\ell\gg 1$ ... | 0103281v2 |
2003-01-22 | Propagation model for cosmic ray species in the Galaxy | In a recent paper (Moskalenko et al., 2002), it has been shown that the flux
of secondary cosmic ray (CR) antiprotons appears to be contradictory to
measurements of secondary to primary nuclei ratios in cosmic rays when
calculated in the same Galactic propagation model. The contradiction appears as
a value of the diffu... | 0301420v1 |
2005-02-28 | On the existence of three-dimensional hydrostatic and magnetostatic equilibria of self-gravitating fluid bodies | (Abridged) We develop an analytical spectral method to solve the equations of
equilibrium for a self-gravitating, magnetized fluid body, under the only
hypotheses that (a) the equation of state is isothermal, (b) the configuration
is scale-free, and (c) the body is electrically neutral. All physical variables
are repre... | 0502584v1 |
2006-06-14 | Electron Acceleration in Solar Flares: Theory of Spectral Evolution | Context: Stochastic acceleration is thought to be a key mechanism in the
energization of solar flare electrons.
Aims: We study whether stochastic acceleration can reproduce the observed
soft-hard-soft evolution of the spectral features of the hard X-ray emitted by
suprathermal electron. We pay special attention to th... | 0606339v2 |
1996-07-04 | Continuous Elastic Phase Transitions in Pure and Disordered Crystals | We review the theory of second--order (ferro--)elastic phase transitions,
where the order parameter consists of a certain linear combination of strain
tensor components, and the accompanying soft mode is an acoustic phonon. In
three--dimensional crystals, the softening can occur in one-- or
two--dimensional soft sector... | 9607028v2 |
2004-03-28 | Bilayer Membrane in Confined Geometry: Interlayer Slide and Steric Repulsion | We derived free energy functional of a bilayer lipid membrane from the first
principles of elasticity theory. The model explicitly includes
position-dependent mutual slide of monolayers and bending deformation. Our free
energy functional of liquid-crystalline membrane allows for incompressibility
of the membrane and va... | 0403676v1 |
1995-06-26 | A Stochastic Approach to Thermal Fluctuations during a First Order Electroweak Phase Transition | We investigate the role played by subcritical bubbles at the onset of the
electroweak phase transition. Treating the configuration modelling the thermal
fluctuations around the homogeneous zero configuration of the Higgs field as a
stochastic variable, we describe its dynamics by a phenomenological Langevin
equation. T... | 9506419v1 |
1995-10-26 | Classical and quantum many-body description of bremsstrahlung in dense matter (Landau - Pomeranchuk - Migdal effect) | Some considerations about the importance of coherence effects for
bremsstrahlung processes in non--equilibrium dense matter (Landau - Pomeranchuk
- Migdal - effect) are presented. They are of particular relevance for the
application to photon - and di-lepton production from high energy nuclear
collisions, to gluon radi... | 9510417v1 |
1997-10-15 | Domain Walls Out of Equilibrium | We study the non-equilibrium dynamics of domain walls in real time for
$\phi^4$ and Sine Gordon models in 1+1 dimensions in the dilute regime. The
equation of motion for the collective coordinate is obtained by integrating out
the meson excitations around the domain wall to one-loop order. The real-time
non-equilibrium... | 9710359v2 |
2005-01-06 | Non-statistical fluctuations for deep inelastic processes in 27Al + 27Al | The excitation functions for different fragments produced in the 27Al + 27Al
dissipative collisions have been measured in steps of 250 keV in the energy
range 122 - 132 MeV. Deep inelastic processes have been selected by integrating
events over a total kinetic energy loss window of 12 MeV between 20 and 32 MeV.
Large f... | 0501003v1 |
2004-10-14 | Cold Strongly Coupled Atoms Make a Near-perfect Liquid | Feshbach resonances of trapped ultracold alkali atoms allow to vary the
atomic scattering length a. At very large values of a the system enters an
universal strongly coupled regime in which its properties--the ground state
energy, pressure {\it etc.}--become independent of a. We discuss transport
properties of such sys... | 0410067v2 |
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