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2001-06-05
|
On Nonlinear Alfvén Waves Generated by Cosmic Ray Streaming Instability
|
Nonlinear damping of parallel propagating Alfv\'en waves in high-$\beta$
plasma is considered. Trapping of thermal ions and Coulomb collisions are taken
into account. Saturated damping rate is calculated. Applications are made for
cosmic ray propagation in the Galaxy.
|
0106078v1
|
2001-10-15
|
The UCSD HIRES/KeckI Damped Lya Abundance Database: II. The Implications
|
We present a comprehensive analysis of the damped Lya abundance database
presented in the first paper of this series. This database provides a
homogeneous set of abundance measurements for many elements including Si, Cr,
Ni, Zn, Fe, Al, S, Co, O, and Ar from 38 damped Lya systems with z > 1.5. With
little exception, these damped Llya systems exhibit very similar relative
abundances. There is no significant correlation in X/Fe with [Fe/H] metallicity
and the dispersion in X/Fe is small at all metallicity.
We search the database for trends indicative of dust depletion and in a few
cases find strong evidence. Specifically, we identify a correlation between
[Si/Ti] and [Zn/Fe] which is unambiguous evidence for depletion.
We present a discussion on the nucleosynthetic history of the damped Lya
systems by focusing on abundance patterns which are minimally affected by dust
depletion. We find [Si/Fe] -> +0.25 dex as [Zn/Fe] -> 0 and that the [Si/Fe]
values exhibit a plateau of ~+0.3 dex at [Si/H] < -1.5 dex. Together these
trends indicate significant alpha-enrichment in the damped Lya systems at low
metallicity, an interpretation further supported by the observed O/Fe, S/Fe and
Ar/Fe ratios. We also discuss Fe-peak nucleosynthesis and the odd-even effect.
To assess the impact of dust obscuration, we present estimates of the
dust-to-gas ratios for the damped Lya sightlines and crudely calculate dust
extinction corrections. The distribution of extinction corrections suggests the
effects of dust obscuration are minimal and that the population of 'missing'
damped systems has physical characteristics similar to the observed sample.
We update our investigation on the chemical evolution of the early universe
in neutral gas. [significantly abridged]
|
0110351v1
|
2005-09-05
|
Comment on "Damping of Tensor Modes in Cosmology"
|
We provide an analytic solution to the short wave length limit of the
integro-differential equation describing the damping of the tensor modes of
gravitational waves.
|
0509096v2
|
1997-02-12
|
Crossover from coherent to incoherent dynamics in damped quantum systems
|
The destruction of quantum coherence by environmental influences is
investigated taking the damped harmonic oscillator and the dissipative
two-state system as prototypical examples. It is shown that the location of the
coherent-incoherent transition depends to a large degree on the dynamical
quantity under consideration.
|
9702115v1
|
1998-06-05
|
Dielectric formalism and damping of collective modes in trapped Bose-Einstein condensed gases
|
We present the general dielectric formalism for Bose-Einstein condensed
systems in external potential at finite temperatures. On the basis of a model
arising within this framework as a first approximation in an intermediate
temperature region for large condensate we calculate the damping of low-energy
excitations in the collisionless regime.
|
9806079v1
|
1999-05-27
|
Do correlations create an energy gap in electronic bilayers? Critical analysis of different approaches
|
This paper investigates the effect of correlations in electronic bilayers on
the longitudinal collective mode structure. We employ the dielectric
permeability constructed by means of the classical theory of moments. It is
shown that the neglection of damping processes overestimates the role of
correlations. We conclude that the correct account of damping processes leads
to an absence of an energy gap.
|
9905405v1
|
1999-11-16
|
Damping of low-energy excitations of a Bose-condensed gas in the hydrodynamic regime
|
We develop a theory to describe the damping of elementary excitations of a
Bose-condensed gas in the hydrodynamic regime for the thermal cloud. We discuss
second sound in a spatially homogeneous gas and the lowest excitations of a
trapped condensate.
|
9911238v2
|
2002-04-18
|
Faraday patterns in Bose-Einstein condensates. Amplitude equation for rolls in the parametrically driven, damped Gross-Pitaevskii equation
|
The parametrically driven, damped Gross-Pitaevskii equation, which models
Bose-Einstein condensates in which the interatomic s-wave scattering length is
modulated in time, is shown to support spatially modulated states in the form
of rolls. A Landau equation with broken phase symmetry is derived, which
governs the dynamics of the roll amplitude.
|
0204406v1
|
2002-11-14
|
Sound damping in ferrofluids: Magnetically enhanced compressional viscosity
|
The damping of sound waves in magnetized ferrofluids is investigated and
shown to be considerably higher than in the non-magnetized case. This fact may
be interpreted as a field-enhanced, effective compressional viscosity -- in
analogy to the ubiquitous field-enhanced shear viscosity that is known to be
the reason for many unusual behavior of ferrofluids under shear.
|
0211297v1
|
2003-10-23
|
Input and output in damped quantum systems III: Formulation of damped systems driven by Fermion fields
|
A comprehensive input-output theory is developed for Fermionic input fields.
Quantum stochastic differential equations are developed in both the Ito and
Stratonovich forms. The major technical issue is the development of a formalism
which takes account of anticommutation relations between the Fermionic driving
field and those system operators which can change the number of Fermions within
the system.
|
0310542v1
|
2004-01-12
|
Nonexponential motional damping of impurity atoms in Bose-Einstein condensates
|
We demonstrate that the damping of the motion of an impurity atom injected at
a supercritical velocity into a Bose-Einstein condensate can exhibit
appreciable deviation from the exponential law on time scales of $10^{-5}$ s.
|
0401172v1
|
2005-02-21
|
Two Transitions in the Damping of a Unitary Fermi Gas
|
We measure the temperature dependence of the radial breathing mode in an
optically trapped, strongly-interacting Fermi gas of $^6$Li, just above the
center of a broad Feshbach resonance. The frequency remains close to the
unitary hydrodynamic value, while the damping rate reveals transitions at two
well-separated temperatures, consistent with the existence of atom pairs above
a superfluid transition.
|
0502507v1
|
1994-07-04
|
Cat States and Single Runs for the Damped Harmonic Oscillator
|
We discuss the fate of initial states of the cat type for the damped harmonic
oscillator, mostly employing a linear version of the stochastic Schr\"odinger
equation. We also comment on how such cat states might be prepared and on the
relation of single realizations of the noise to single runs of experiments.
|
9407001v1
|
2000-10-27
|
Damping and the Hartree Ensemble Approximation
|
We study a Hartree ensemble approximation for real-time dynamics in the toy
model of 1+1 dimensional scalar field theory. Damping behavior seen in
numerical simulations is compared with analytical predictions based on
perturbation theory in the original (non-Hartree-approximated) model.
|
0010054v1
|
1995-03-21
|
APPLICATIONS OF HIGH-TEMPERATURE FIELD THEORY TO HEAVY-ION COLLISIONS
|
A recent development in finite temperature field theory, the so-called
Braaten-Pisarski method, and its application to properties of a quark-gluon
plasma, possibly formed in relativistic heavy ion collisions, are reviewed. In
particular parton damping rates, the energy loss of energetic partons,
thermalization times, viscosity, and production and damping rates of hard
photons are discussed.
|
9503400v1
|
1996-03-19
|
Damping Rate and Lyapunov Exponent of a Higgs Field at High Temperature
|
The damping rate of a Higgs field at zero momentum is calculated using the
Braaten-Pisarski method and compared to the Lyapunov exponent of the classical
SU(2) Yang-Mills Higgs system.
|
9603339v1
|
1997-04-30
|
Comments on the Erhan-Schlein model of damping the pomeron flux at small x-pomeron
|
We explore the theoretical and experimental consequences of a model proposed
by Samim Erhan and Peter Schlein for unitarizing the diffractive amplitude by
damping the pomeron flux at small x-pomeron and conclude that the model is
unphysical and contradicts well established experimental data.
|
9704454v1
|
1998-03-26
|
The Nonlinear Spatial Damping Rate in QGP
|
The derivative expansion method has been used to solve the semiclassical
kinetic equations of quark-gluon plasma (QGP). The nonlinear spatial damping
rate, the imaginary part of the wave vector, for the longitudinal secondary
color waves in the long wavelength limit has been calculated numerically.
|
9803455v1
|
2006-07-27
|
Long-Time Asymptotic Behavior of Dissipative Boussinesq System
|
In this paper, we study various dissipative mechanics associated with the
Boussinesq systems which model two-dimensional small amplitude long wavelength
water waves. We will show that the decay rate for the damped one-directional
model equations, such as the KdV and BBM equations, holds for some of the
damped Boussinesq systems which model two-directional waves.
|
0607708v1
|
2006-12-27
|
Stochastic inertial manifolds for damped wave equations
|
In this paper, stochastic inertial manifold for damped wave equations
subjected to additive white noise is constructed by the Lyapunov-Perron method.
It is proved that when the intensity of noise tends to zero the stochastic
inertial manifold converges to its deterministic counterpart almost surely.
|
0612774v1
|
2007-01-19
|
On the Domain of Analyticity and Small Scales for the Solutions of the Damped-driven 2D Navier-Stokes Equations
|
We obtain a logarithmically sharp estimate for the space-analyticity radius
of the solutions of the damped-driven 2D Navier-Stokes equations with periodic
boundary conditions and relate this to the small scales in this system. This
system is inspired by the Stommel--Charney barotropic ocean circulation model.
|
0701530v1
|
2002-09-04
|
Wigner function for damped systems
|
Both classical and quantum damped systems give rise to complex spectra and
corresponding resonant states. We investigate how resonant states, which do not
belong to the Hilbert space, fit the phase space formulation of quantum
mechanics. It turns out that one may construct out of a pair of resonant states
an analog of the stationary Wigner function.
|
0209008v1
|
2004-12-14
|
Two-Ion Dusty Plasma Waves and Landau Damping
|
The paper analyses the properties of dusty plasmas in the extreme conditions
when the free electrons are absent. The nonlinear Korteveg de Vries equation
with a nonlocal (integral) term in a small parameter approximation is derived.
The conditions are determined when the integral term is essential hence the
Landau damping of two-ion-dusty plasma waves is substantial.
|
0412033v1
|
2002-10-16
|
Dependence of Nuclear Level Density on Vibrational State Damping
|
The response function approach is proposed to include vibrational state in
calculation of level density. The calculations show rather strong dependence of
level density on the relaxation times of collective state damping.
|
0210048v1
|
1999-02-09
|
One-Dimensional Motion of Sommerfeld Sphere in Potential Hole in Classical Electrodynamics: Inside the Hole
|
Equation of motion of Sommerfeld sphere in the one-dimensional potential
hole, produced by two equal charges on some distance from each other, is
numerically investigated. Two types of solutions are found: (i) damping
oscillations, (ii) oscillations without damping (radiationless motion).
Solutions with growing amplitude ("climbing-up-the-wall solution") for chosen
initial conditions were not founded.
|
9902018v3
|
2000-03-23
|
The Hawking-Unruh Temperature and Damping in a Linear Focusing Channel
|
The Hawking-Unruh effective temperature, hbar a* / 2 pi c k, due to quantum
fluctuations in the radiation of an accelerated charged-particle beam can be
used to show that transverse oscillations of the beam in a practical linear
focusing channel damp to the quantum-mechanical limit. A comparison is made
between this behavior and that of beams in a wiggler.
|
0003061v1
|
2003-06-17
|
Ruchhardt Oscillator Decay- Thermodynamic basis for Hysteretic Damping
|
Using thermodynamic arguments based on the ideal gas law, it is shown that
hysteretic (also called structural) damping is the natural form of energy
dissipation for this classic oscillator that is used to measure the ratio of
heat capacities for a gas.
|
0306136v1
|
2005-08-25
|
Rutherford scattering with radiation damping
|
We study the effect of radiation damping on the classical scattering of
charged particles. Using a perturbation method based on the Runge-Lenz vector,
we calculate radiative corrections to the Rutherford cross section, and the
corresponding energy and angular momentum losses.
|
0508186v2
|
2006-01-18
|
Expressions for frictional and conservative force combinations within the dissipative Lagrange-Hamilton formalism
|
Dissipative Lagrangians and Hamiltonians having Coulomb, viscous and
quadratic damping,together with gravitational and elastic terms are presented
for a formalism that preserves the Hamiltonian as a constant of the motion.
Their derivations are also shown. The resulting L's and H's may prove useful in
exploring new types of damped quantum systems.
|
0601133v1
|
1997-03-27
|
Macroscopic quantum damping in SQUID rings
|
The measurement process is introduced in the dynamics of Josephson devices
exhibiting quantum behaviour in a macroscopic degree of freedom. The
measurement is shown to give rise to a dynamical damping mechanism whose
experimental observability could be relevant to understand decoherence in
macroscopic quantum systems.
|
9703052v1
|
2005-07-19
|
Radiation reaction and quantum damped harmonic oscillator
|
By taking a Klein-Gordon field as the environment of an harmonic oscillator
and using a new method for dealing with quantum dissipative systems (minimal
coupling method), the quantum dynamics and radiation reaction for a quantum
damped harmonic oscillator investigated. Applying perturbation method, some
transition probabilities indicating the way energy flows between oscillator,
reservoir and quantum vacuum, obtained
|
0507179v1
|
2005-08-18
|
Density operator and entropy of the damped quantum harmonic oscillator
|
The expression for the density operator of the damped harmonic oscillator is
derived from the master equation in the framework of the Lindblad theory for
open quantum systems. Then the von Neumann entropy and effective temperature of
the system are obtained. The entropy for a state characterized by a Wigner
distribution function which is Gaussian in form is found to depend only on the
variance of the distribution function.
|
0508141v1
|
2006-03-03
|
On the damping of the angular momentum of three harmonic oscillators
|
In the frame of the Lindblad theory of open quantum systems, the system of
three uncoupled harmonic oscillators with opening operators linear in the
coordinates and momenta of the considered system is analyzed. The damping of
the angular momentum and of its projection is obtained.
|
0603029v1
|
2006-10-10
|
Simultaneous amplification and non-symmetric amplitude damping of two-mode Gaussian state
|
The evolution of two-mode Gaussian state under symmetric amplification,
non-symmetric damping and thermal noise is studied. The time dependent solution
of the state characteristic function is obtained. The separability criterions
are given for the final state of weak amplification as well as strong
amplification.
|
0610070v1
|
2007-10-13
|
The separability of tripartite Gaussian state with amplification and amplitude damping
|
Tripartite three mode Gaussian state undergoes parametric amplification and
amplitude damping as well as thermal noise is studied. In the case of a state
totally symmetrically interacting with the environment, the time dependent
correlation matrix of the state in evolution is given. The conditions for fully
separability and fully entanglement of the final tripartite three mode Gaussian
state are worked out.
|
0710.2570v1
|
2007-12-16
|
Nonadditive quantum error correcting codes adapted to the ampltitude damping channel
|
A family of high rate quantum error correcting codes adapted to the amplitude
damping channel is presented. These codes are nonadditive and exploit
self-complementarity structure to correct all first-order errors. Their rates
can be higher than 1/2. The recovery operations of these codes can be generated
by a simple algorithm and have a projection nature, which makes them
potentially easy to implement.
|
0712.2586v1
|
2007-12-22
|
Chaos in an intermittently driven damped oscillator
|
We observe chaotic dynamics in a damped linear oscillator, which is driven
only at certain regions of phase space. Both deterministic and random drives
are studied. The dynamics is characterized using standard techniques of
nonlinear dynamics. Interchanging roles of determinism and stochasticity is
also considered.
|
0712.3827v2
|
2008-03-01
|
Well-posedness of the IBVP for 2-D Euler Equations with Damping
|
In this paper we focus on the initial-boundary value problem of the 2-D
isentropic Euler equations with damping. We prove the global-in-time existence
of classical solution to the initial-boundary value problem by the method of
energy estimates.
|
0803.0039v1
|
2008-03-27
|
Shear viscosity of degenerate electron matter
|
We calculate the partial electron shear viscosity $\eta_{ee}$ limited by
electron-electron collisions in a strongly degenerate electron gas taking into
account the Landau damping of transverse plasmons. The Landau damping strongly
suppresses $\eta_{ee}$ in the domain of ultrarelativistic degenerate electrons
and modifies its %asymptotic temperature behavior. The efficiency of the
electron shear viscosity in the cores of white dwarfs and envelopes of neutron
stars is analyzed.
|
0803.3893v1
|
2008-04-09
|
Stationary Oscillations in a Damped Wave Equation from Isospectral Bessel Functions
|
Using the isospectral partners of the Bessel functions derived by Reyes et
al., we find, on one hand, that these functions show non-typical supersymmetric
(SUSY) behavior and, on the other, that the isospectral partner of the
classical wave equation is equivalent to that of a damped system whose
oscillations do not vanish in time, but show a non-harmonic shape.
|
0804.1510v1
|
2008-06-03
|
Simulation study of fast ion instability in the ILC damping ring and PETRA III
|
The fast ion instability is simulated in different gas pressures and fill
patterns for the damping ring of the International Linear Collider (ILC) and
PETRA III respectively. Beam size variation due to beta function and dispersion
function change is taken into account. Feedback is also applied in the
simulation.
|
0806.0529v1
|
2008-08-01
|
Damped wave equations with dynamic boundary conditions
|
We discuss several classes of linear second order initial-boundary value
problems, where damping terms appear in the main wave equation as well as in
the dynamic boundary condition. We investigate their well-posedness and
describe some qualitative properties of their solutions, including boundedness,
stability, or almost periodicity. In particular, we are able to characterize
the analyticity of certain $C_0$-semigroups associated to such problems.
Applications to several problems on domains and networks are shown.
|
0808.0213v1
|
2008-12-17
|
The damping of gravitational waves in dust
|
We examine a simple model of interaction of gravitational waves with matter
(primarily represented by dust). The aim is to investigate a possible damping
effect on the intensity of gravitational wave when passing through media. This
might be important for gravitational wave astronomy when the sources are
obscured by dust or molecular clouds.
|
0812.3336v1
|
2009-05-24
|
Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum
|
We present a topological method for the efficient computer assisted
verification of the existence of the homoclinic tangency which unfolds
generically in a one-parameter family of planar maps. The method has been
applied to the Henon map and the forced damped pendulum ODE.
|
0905.3924v1
|
2009-08-15
|
Antigravitation, Dark Energy, Dark Matter - Alternative Solution
|
Collisional damping of gravitational waves in the Newtonian matter is
investigated. The generalized theory of Landau damping is applied to the
gravitational physical systems in the context of the plasma gravitational
analogy.
|
0908.2180v3
|
2009-08-31
|
A comment about the existence of a weak solution for a non linear wave equation damped propagation
|
We give a proof for the existence of a weak solution on the initial-value
problem of a non-linear damped propagation
|
0909.0052v2
|
2009-09-15
|
Quantum Parrondo's games under decoherence
|
We study the effect of quantum noise on history dependent quantum Parrondo's
games by taking into account different noise channels. Our calculations show
that entanglement can play a crucial role in quantum Parrondo's games. It is
seen that for the maximally entangled initial state in the presence of
decoherence, the quantum phases strongly influence the payoffs for various
sequences of the game. The effect of amplitude damping channel leads to winning
payoffs. Whereas the depolarizing and phase damping channels lead to the losing
payoffs. In case of amplitude damping channel, the payoffs are enhanced in the
presence of decoherence for the sequence AAB. This is because the quantum
phases interfere constructively which leads to the quantum enhancement of the
payoffs in comparison to the undecohered case. It is also seen that the quantum
phase angles damp the payoffs significantly in the presence of decoherence.
Furthermore, it is seen that for multiple games of sequence AAB, under the
influence of amplitude damping channel, the game still remains a winning game.
However, the quantum enhancement reduces in comparison to the single game of
sequence AAB because of the destructive interference of phase dependent terms.
In case of depolarizing channel, the game becomes a loosing game. It is seen
that for the game sequence B the game is loosing one and the behavior of
sequences B and BB is similar for amplitude damping and depolarizing channels.
In addition, the repeated games of A are only influenced by the amplitude
damping channel and the game remains a losing game. Furthermore, it is also
seen that for any sequence when played in series, the phase damping channel
does not influence the game.
|
0909.2897v2
|
2009-10-01
|
Global attractor for weakly damped Nonlinear Schrödinger equations in $L^2(\R)$
|
We prove that the weakly damped nonlinear Schr\"odinger flow in
$L^2(\mathbb{R})$ provides a dynamical system which possesses a global
attractor. The proof relies on the continuity of the Schr\"odinger flow for the
weak topology in $L^2(\R)$.
|
0910.0172v1
|
2009-12-11
|
Waves, damped wave and observation
|
We consider the wave equation in a bounded domain (eventually convex). Two
kinds of inequality are described when occurs trapped ray. Applications to
control theory are given. First, we link such kind of estimate with the damped
wave equation and its decay rate. Next, we describe the design of an
approximate control function by an iterative time reversal method.
|
0912.2202v1
|
2010-01-01
|
Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth
|
We derive a uniform exponential decay of the total energy for the nonlinear
Klein-Gordon equation with a damping around spatial infinity in the whole space
or in the exterior of a star shaped obstacle.
|
1001.0209v1
|
2010-03-10
|
Covariant Constitutive Relations, Landau Damping and Non-stationary Inhomogeneous Plasmas
|
Models of covariant linear electromagnetic constitutive relations are
formulated that have wide applicability to the computation of susceptibility
tensors for dispersive and inhomogeneous media. A perturbative framework is
used to derive a linear constitutive relation for a globally neutral plasma
enabling one to describe in this context a generalized Landau damping mechanism
for non-stationary inhomogeneous plasma states.
|
1003.2062v1
|
2010-03-28
|
Damped wave dynamics for a complex Ginzburg-Landau equation with low dissipation
|
We consider a complex Ginzburg-Landau equation, corresponding to a
Gross-Pitaevskii equation with a small dissipation term. We study an asymptotic
regime for long-wave perturbations of constant maps of modulus one. We show
that such solutions never vanish and we derive a damped wave dynamics for the
perturbation.
|
1003.5375v1
|
2010-06-16
|
Hysteresis effects in Bose-Einstein condensates
|
Here, we consider damped two-components Bose-Einstein condensates with
many-body interactions. We show that, when the external trapping potential has
a double-well shape and when the nonlinear coupling factors are modulated in
time, hysteresis effects may appear under some circumstances. Such hysteresis
phenomena are a result of the joint contribution between the appearance of
saddle node bifurcations and damping effect.
|
1006.3240v1
|
2010-09-25
|
Different Network Topologies for Distributed Electric Damping of Beam Vibrations
|
In this work passive electric damping of structural vibrations by distributed
piezoelectric transducers and electric networks is analyzed. Different
distributed electric controllers are examined as finite degrees of freedom
systems and their performances are compared. Modal reduction is used to
optimize the electric parameters
|
1009.5001v1
|
2010-12-27
|
The Relativistic kinetics of gravitational waves collisional damping in hot Universe
|
The article is a translation of authors paper printed earlier in the
inaccessible edition and summarizing the results of research of gravitational
waves damping problem in the cosmologic plasma due to the different
interactions of elementary particles.
|
1012.5582v1
|
2011-01-14
|
Blowup for the Damped $L^{2}$-Critical Nonlinear Schrödinger Equation
|
We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear
Schr\"odinger equation. We prove existence and stability of finite time blowup
dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$.
|
1101.2763v3
|
2011-02-05
|
Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping
|
We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak
solutions of a system of PDE that model a viscoelastic fluid in the presence of
an energy damping mechanism. The system was recently introduced as a possible
method of establishing the global in time existence of weak solutions of the
well known Oldroyd system.
|
1102.1112v1
|
2011-02-21
|
The One Dimensional Damped Forced Harmonic Oscillator Revisited
|
In this paper we give a general solution to the problem of the damped
harmonic oscillator under the influence of an arbitrary time-dependent external
force. We employ simple methods accessible for beginners and useful for
undergraduate students and professors in an introductory course of mechanics.
|
1102.4112v1
|
2011-03-18
|
Soliton complexity in the damped-driven nonlinear Schrödinger equation: stationary, periodic, quasiperiodic complexes
|
Stationary and oscillatory bound states, or complexes, of the damped-driven
solitons are numerically path-followed in the parameter space. We compile a
chart of the two-soliton attractors, complementing the one-soliton attractor
chart.
|
1103.3607v1
|
2011-09-27
|
Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping
|
The initial boundary value problem for a system of viscoelastic wave
equations of Kirchhoff type with strong damping is considered. We prove that,
under suitable assumptions on relaxation functions and certain initial data,
the decay rate of the solutions energy is exponential.
|
1109.5921v1
|
2011-11-20
|
Null controllability of the structurally damped wave equation with moving point control
|
We investigate the internal controllability of the wave equation with
structural damping on the one dimensional torus. We assume that the control is
acting on a moving point or on a moving small interval with a constant
velocity. We prove that the null controllability holds in some suitable Sobolev
space and after a fixed positive time independent of the initial conditions.
|
1111.4655v1
|
2011-12-04
|
On the Apparent Superluminal Motion of a Damped Gaussian Pulse
|
Alicki has demonstrated that a travelling Gaussian pulse subject to damping
is indistinguishable from an undamped pulse moving with greater speed; such an
effect could create the illusion of a pulse moving faster than light. In this
note, an alternative derivation of the same result is presented. However, it is
unlikely that this particular illusion could explain the superluminal
neutrino-velocities reported by OPERA.
|
1112.1324v1
|
2011-12-28
|
Photon Damping in One-Loop HTL Perturbation Theory
|
We determine the damping rates of slow-moving photons in next-to-leading
order hard-thermal-loop perturbation of massless QED. We find both longitudinal
and transverse rates finite, positive, and equal at zero momentum. Various
divergences, light-cone and at specific momenta, but not infrared, appear and
cancel systematically.
|
1112.6065v2
|
2012-04-06
|
Late time evolution of the gravitational wave damping in the early Universe
|
An analytical solution for time evolution of the gravitational wave damping
in the early Universe due to freely streaming neutrinos is found in the late
time regime. The solution is represented by a convergent series of spherical
Bessel functions of even order and was possible with the help of a new compact
formula for the convolution of spherical Bessel functions of integer order.
|
1204.1384v2
|
2012-05-30
|
Beam Dynamics Studies for the CLIC Main Linac
|
The implications of long-range wakefields on the beam quality are
investigated through a detailed beam dynamics study. Injection offsets are
considered and the resulting emittance dilution recorded, including systematic
sources of error. These simulations have been conducted for damped and detuned
structures (DDS) and for waveguide damped structures-both for the CLIC
collider.
|
1205.6623v2
|
2012-07-31
|
Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain
|
In this paper we study the behaviors of the energy of solutions of the wave
equations with localized nonlinear damping in exterior domains.
|
1207.7336v3
|
2012-11-02
|
A modified test function method for damped waves
|
In this paper we use a modified test function method to derive nonexistence
results for the semilinear wave equation with time-dependent speed and damping.
The obtained critical exponent is the same exponent of some recent results on
global existence of small data solution.
|
1211.0453v1
|
2012-12-15
|
Damping and Pseudo-fermions
|
After a short abstract introduction on the time evolution driven by non
self-adjoint hamiltonians, we show how the recently introduced concept of {\em
pseudo-fermion} can be used in the description of damping in finite dimensional
quantum systems, and we compare the results deduced adopting the Schr\"odinger
and the Heisenberg representations.
|
1212.3663v1
|
2013-01-14
|
On estimating the output entropy of a tensor product of the quantum phase-damping channel with an arbitrary channel
|
We obtained the estimation from below for the output entropy of a tensor
product of the quantum phase-damping channel with an arbitrary channel. It is
shown that from this estimation immediately follows that the strong
superadditivity of the output entropy holds for this channel as well as for the
quantum depolarizing channel.
|
1301.2886v1
|
2013-06-10
|
Smooth attractors for the quintic wave equations with fractional damping
|
Dissipative wave equations with critical quintic nonlinearity and damping
term involving the fractional Laplacian are considered. The additional
regularity of energy solutions is established by constructing the new
Lyapunov-type functional and based on this, the global well-posedness and
dissipativity of the energy solutions as well as the existence of a smooth
global and exponential attractors of finite Hausdorff and fractal dimension is
verified.
|
1306.2294v1
|
2013-07-20
|
Entanglement-assisted capacities of time-correlated amplitude-damping channel
|
We calculate the information capacities of a time-correlated
amplitude-damping channel, provided the sender and receiver share prior
entanglement. Our analytical results show that the noisy channel with zero
capacity can transmit information if it has finite memory. The capacities
increase as the memory increases attaining maximum value for perfect memory
channel.
|
1307.5403v1
|
2013-07-23
|
Comment on Damping Force in the Transit-time Method of Optical Stochastic Cooling
|
In this brief report we pointed at mistake in paper A. Zholents, Damping
Force in the Transit-Time Method of Optical Stochastic Cooling, PRLST. Mar 1,
2012. 2 pp. Published in Phys.Rev.ST Accel. Beams 15 (2012) 032801.
|
1307.6185v1
|
2013-08-23
|
Stability results for second-order evolution equations with switching time-delay
|
We consider second-order evolution equations in an abstract setting with
intermittently delayed/ not-delayed damping. We give sufficient conditions for
asymptotic and exponential stability, improving and generalising our previous
results from [19]. In particular, under suitable conditions, we can consider
unbounded damping operators. Some concrete examples are finally presented.
|
1308.5100v1
|
2013-09-10
|
Convergence of global solutions for some classes of nonlinear damped wave equations
|
We consider the asymptotic behavior of the soltion to the wave equation with
time-dependent damping and analytic nonlinearity. Our main goal is to prove the
convergence of a global solution to an equilibrium as time goes to infinity by
means of a suitable Lojasiewicz-Simon type inequality.
|
1309.2364v1
|
2013-09-13
|
On diffusion phenomena for the linear wave equation with space-dependent damping
|
In this paper, we prove the diffusion phenomenon for the linear wave equation
with space-dependent damping. We prove that the asymptotic profile of the
solution is given by a solution of the corresponding heat equation in the
$L^2$-sense.
|
1309.3377v1
|
2013-09-19
|
Compressible Euler equation with damping on Torus in arbitrary dimensions
|
We study the exponential stability of constant steady state of isentropic
compressible Euler equation with damping on $\mathbb T^n$. The local existence
of solutions is based on semigroup theory and some commutator estimates. We
propose a new method instead of energy estimates to study the stability, which
works equally well for any spatial dimensions.
|
1309.5059v3
|
2013-10-28
|
Large deviations for a damped telegraph process
|
In this paper we consider a slight generalization of the damped telegraph
process in Di Crescenzo and Martinucci (2010). We prove a large deviation
principle for this process and an asymptotic result for its level crossing
probabilities (as the level goes to infinity). Finally we compare our results
with the analogous well-known results for the standard telegraph process.
|
1310.7332v1
|
2013-10-29
|
Blow-up for the wave equation with nonlinear source and boundary damping terms
|
The paper deals with blow--up for the solutions of wave equation with
nonlinear source and nonlinear boudary damping terms, posed in a bounded and
regular domain. The initial data are posed in the energy space. The aim of the
paper is to improve previous blow-up results concerning the problem.
|
1310.7734v1
|
2013-11-24
|
Global small solution to the 2D MHD system with a velocity damping term
|
This paper studies the global well-posedness of the incompressible
magnetohydrodynamic (MHD) system with a velocity damping term. We establish the
global existence and uniqueness of smooth solutions when the initial data is
close to an equilibrium state. In addition, explicit large-time decay rates for
various Sobolev norms of the solutions are also given.
|
1311.6185v1
|
2014-08-25
|
Asymptotic behavior of global entropy solutions for nonstrictly hyperbolic systems with linear damping
|
In this paper we investigate the large time behavior of the global weak
entropy solutions to the symmetric Keyftiz-Kranzer system with linear damping.
It is proved that as t tends to infinite the entropy solutions tend to zero in
the L p norm
|
1408.5856v1
|
2014-08-26
|
Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping
|
In this paper we consider a stabilization problem for the abstract-wave
equation with delay. We prove an exponential stability result for appropriate
damping coefficient. The proof of the main result is based on a
frequency-domain approach.
|
1408.6261v2
|
2015-02-02
|
Spontaneous toroidal rotation, anomalous radial particle flux, and the electron-ion asymmetric anomalous viscous damping
|
AA spontaneous toroidal rotation due to the electron-ion asymmetric anomalous
viscous damping and the turbulent radial particle flux has been found, which
explains the experimental observation of the anomalous toroidal momentum source
in the edge of a tokamak plasma.
|
1502.00499v3
|
2015-03-06
|
Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation
|
- In this article, we prove some universal bounds on the speed of
concentration on small (frequency-dependent) neighborhoods of submanifolds of L
2-norms of quasi modes for Laplace operators on compact manifolds. We deduce
new results on the rate of decay of weakly damped wave equations.
R{\'e}sum{\'e}.
|
1503.02058v1
|
2015-03-11
|
Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$
|
We consider finite energy solutions for the damped and driven two-dimensional
Navier--Stokes equations in the plane and show that the corresponding dynamical
system possesses a global attractor. We obtain upper bounds for its fractal
dimension when the forcing term belongs to the whole scale of homogeneous
Sobolev spaces from -1 to 1
|
1503.03415v1
|
2015-03-18
|
Laplace Eigenfunctions And Damped Wave Equation Ii: Product Manifolds
|
- The purpose of this article is to study possible concentrations of
eigenfunc-tions of Laplace operators (or more generally quasi-modes) on product
manifolds. We show that the approach of the first author and Zworski [10, 11]
applies (modulo rescalling) and deduce new stabilization results for weakly
damped wave equations which extend to product manifolds previous results by
Leautaud-Lerner [12] obtained for products of tori.
|
1503.05513v1
|
2015-10-14
|
The General Solution to Vlasov Equation and Linear Landau Damping
|
A general solution to linearized Vlasov equation for an electron
electrostatic wave in a homogeneous unmagnetized plasma is derived. The
quasi-linear diffusion coefficient resulting from this solution is a continuous
function of omega in contrast to that derived from the traditional Vlasov
treatment. The general solution is also equivalent to the Landau treatment of
the plasma normal oscillations, and hence leads to the well-known Landau
damping.
|
1510.03949v1
|
2016-01-13
|
Non uniform decay of the energy of some dissipative evolution systems
|
In this paper we consider second order evolution equations with bounded
damping. We give a characterization of a non uniform decay for the damped
problem using a kind of observability estimate for the associated undamped
problem.
|
1601.03373v1
|
2016-01-27
|
Forward self-similar solutions to the viscoelastic Navier-Stokes equation with damping
|
Motivated by \cite{JS}, we prove that there exists a global, forward
self-similar solution to the viscoelastic Navier-Stokes equation with damping,
that is smooth for $t>0$, for any initial data that is homogeneous of degree
$-1$.
|
1601.07478v1
|
2016-03-14
|
Phase speed and frequency-dependent damping of longitudinal intensity oscillations in coronal loop structures observed with AIA/SDO
|
Longitudinal intensity oscillations along coronal loops that are interpreted
as signatures of magneto-acoustic waves are observed frequently in different
coronal structures. The aim of this paper is to estimate the physical
parameters of the slow waves and the quantitative dependence of these
parameters on their frequencies in the solar corona loops that are situated
above active regions with the Atmospheric Imaging Assembly (AIA) onboard Solar
Dynamic Observatory (SDO). The observed data on 2012-Feb-12, consisting of 300
images with an interval of 24 seconds in the 171 $\rm{\AA}$ and 193 $\rm{\AA}$
passbands is analyzed for evidence of propagating features as slow waves along
the loop structures. Signatures of longitudinal intensity oscillations that are
damped rapidly as they travel along the loop structures were found, with
periods in the range of a few minutes to few tens of minutes. Also, the
projected (apparent) phase speeds, projected damping lengths, damping times and
damping qualities of filtered intensities centred on the dominant frequencies
are measured in the range of $\rm{C_s}\simeq 38-79~ \rm {km~s^{-1}}$,
$\rm{L_d}\simeq 23-68 ~\rm{Mm }$, $\rm{\tau_d}\simeq 7- 21 ~\rm {min}$ and
$\rm{\tau_d/P}\simeq 0.34- 0.77$, respectively. The theoretical and
observational results of this study indicate that the damping times and damping
lengths increase with increasing the oscillation periods, and are highly
sensitive function of oscillation period, but the projected speeds and the
damping qualities are not very sensitive to the oscillation periods.
Furthermore, the magnitude values of physical parameters are in good agreement
with the prediction of the theoretical dispersion relations of high-frequency
MHD waves ($>1.1~ \rm{mHz}$) in a coronal plasma with electron number density
in the range of $\rm{n_e}\simeq 10^{7} - 10^{12} ~\rm{cm^{-3}}$.
|
1603.04207v1
|
2016-04-27
|
Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
|
In this paper, we study the Cauchy problem for a nonlinear wave equation with
frictional and viscoelastic damping terms. Our aim is to obtain the threshold,
to classify the global existence of solution for small data or the finite time
blow-up pf the solution, with respect to the growth order of the nonlinearity.
|
1604.08265v1
|
2016-05-19
|
On circular flows: linear stability and damping
|
In this article we establish linear inviscid damping with optimal decay rates
around 2D Taylor-Couette flow and similar monotone flows in an annular domain
$B_{r_{2}}(0) \setminus B_{r_{1}}(0) \subset \mathbb{R}^{2}$. Following recent
results by Wei, Zhang and Zhao, we establish stability in weighted norms, which
allow for a singularity formation at the boundary, and additional provide a
description of the blow-up behavior.
|
1605.05959v1
|
2016-08-04
|
Resonance Damping of the THz-frequency Transverse Acoustic Phonon in the Relaxor Ferroelectric KTa1-xNbxO3
|
The damping ($\Gamma_a$) of the transverse acoustic (TA) phonon in single
crystals of the relaxor $KTa_{1-x}Nb_xO_3$ with x=0.15-0.17 was studied by
means of high resolution inelastic cold neutron scattering near the (200) B.Z.
point where diffuse scattering is absent, although it is present near (110). In
a wide range of temperatures centered on the phase transition, T=195K-108K, the
TA phonon width (damping) exhibits a step increase around momentum q=0.07, goes
through a shallow maximum at q=0.09-0.12 and remains high up to the highest
momentum studied of q=0.16. These experimental results are explained in terms
of a resonant interaction between the TA phonon and the collective or
correlated reorientation through tunneling of the off-center Nb+5 ions. The
observed TA damping is successfully reproduced in a simple model that includes
an interaction between the TA phonon and a dispersionless localized mode (LM)
with frequency $\omega_L$ and damping $\Gamma_L$ ($\Gamma_L < \omega_L$),
itself coupled to the transverse optic (TO) mode. Maximum damping of the TA
phonon occurs when its frequency $\omega_a \approx{\omega_L}$. $\omega_L$ and
$\Gamma_L$ are moderately dependent on temperature but the oscillator strength,
$M_2$, of the resonant damping exhibits a strong maximum in the range
$T\sim{150 K-120 K}$ in which neutron diffuse scattering near the (110) B.Z.
point is also maximum and the dielectric susceptibility exhibits the relaxor
behavior. The maximum value of M appears to be due to the increasing number of
polar nanodomains. In support of the proposed model, the observed value of
$\omega_L$ is found to be similar to the estimate previously obtained by
Girshberg and Yacoby. Alternatively, the TA phonon damping can be successfully
fitted in the framework of an empirical Havriliak - Negami (HN) relaxation
model that includes a strong resonance-like transient contribution.
|
1608.01591v1
|
2016-08-26
|
Cheillini integrability and quadratically damped oscillators
|
In this paper a new approach to study an equation of the Lienard type with a
strong quadratic damping is proposed based on Jacobi's last multiplier and
Cheillini's integrability condition. We obtain a closed form solution of the
transcendental characteristic equation of the Lienard type equation using the
Lambert W-function.
|
1608.07377v1
|
2016-11-27
|
Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation
|
Existence of non-resonant solutions of time-periodic type are established for
the Kuznetsov equation with a periodic forcing term. The equation is considered
in a three-dimensional whole-space, half-space and bounded domain, and with
both non-homogeneous Dirichlet and Neumann boundary values. A method based on
Lp estimates of the corresponding linearization, namely the wave equation with
Kelvin-Voigt damping, is employed.
|
1611.08883v1
|
2017-02-02
|
Stationary solutions for stochastic damped Navier-Stokes equations in $\mathbb R^d$
|
We consider the stochastic damped Navier-Stokes equations in $\mathbb R^d$
($d=2,3$), assuming as in our previous work [4] that the covariance of the
noise is not too regular, so It\^o calculus cannot be applied in the space of
finite energy vector fields. We prove the existence of an invariant measure
when $d=2$ and of a stationary solution when $d=3$.
|
1702.00697v1
|
2017-03-08
|
Moderate deviations for the Langevin equation with strong damping
|
In this paper, we establish a moderate deviations principle for the Langevin
dynamics with strong damping. The weak convergence approach plays an important
role in the proof.
|
1703.03033v3
|
2017-03-17
|
Damping in a Superconducting Mechanical Resonator
|
We study a mechanical resonator made of aluminum near the normal to super
conductivity phase transition. A sharp drop in the rate of mechanical damping
is observed below the critical temperature. The experimental results are
compared with predictions based on the Bardeen Cooper Schrieffer theory of
superconductivity and a fair agreement is obtained.
|
1703.05912v1
|
2017-03-27
|
On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term
|
We consider the $L^2$-critical nonlinear Schrodinger equation with an
inhomogeneous damping term. We prove that there exists an initial data such
that the corresponding solution is global in $H^1(R^d)$ and we give the minimal
time of the blow up for some initial data.
|
1703.09101v1
|
2017-06-22
|
Asymptotic profile of solutions for some wave equations with very strong structural damping
|
We consider the Cauchy problem in R^n for some types of damped wave
equations. We derive asymptotic profiles of solutions with weighted
L^{1,1}(R^n) initial data by employing a simple method introduced by the first
author. The obtained results will include regularity loss type estimates, which
are essentially new in this kind of equations.
|
1706.07174v1
|
2017-08-11
|
Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field
|
We study the Cauchy problem for a system of equations corresponding to a
singular limit of radiative hydrodynamics, namely the 3D radiative compressible
Euler system coupled to an electromagnetic field through the MHD approximation.
Assuming the presence of damping together with suitable smallness hypotheses
for the data, we prove that this problem admits a unique global smooth
solution.
|
1708.03681v1
|
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