publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2011-12-15 | Diffusion-Induced Oscillations of Extended Defects | From a simple model for the driven motion of a planar interface under the
influence of a diffusion field we derive a damped nonlinear oscillator equation
for the interface position. Inside an unstable regime, where the damping term
is negative, we find limit-cycle solutions, describing an oscillatory
propagation of the... | 1112.3669v1 |
2012-01-03 | Dynamics of DNA Bubble in Viscous Medium | The damping effect to the DNA bubble is investigated within the
Peyrard-Bishop model. In the continuum limit, the dynamics of the bubble of DNA
is described by the damped nonlinear Schrodinger equation and studied by means
of variational method. It is shown that the propagation of solitary wave
pattern is not vanishing... | 1201.0689v2 |
2012-01-18 | Magnetohydrodynamic Waves in Partially Ionized Prominence Plasmas | Prominences or filaments are cool clouds of partially ionized plasma living
in the solar corona. Ground- and space-based observations have confirmed the
presence of oscillatory motions in prominences and they have been interpreted
in terms of magnetohydrodynamic (MHD) waves. Existing observational evidence
points out t... | 1201.3752v1 |
2012-01-30 | Volatility-dependent damping of evaporation-driven Bénard-Marangoni instability | The interface between a pure liquid and its vapor is usually close to
saturation temperature, hence strongly hindering any thermocapillary flow. In
contrast, when the gas phase contains an inert gas such as air,
surface-tension-driven convection is easily observed. We here reconcile these
two facts by studying the corr... | 1201.6334v1 |
2012-02-18 | Dynamics of multi-modes maximum entangled coherent state over amplitude damping channel | The dynamics of maximum entangled coherent state travels through an amplitude
damping channel is investigated. For small values of the transmissivity rate
the travelling state is very fragile to this noise channel, where it suffers
from the phase flip error with high probability. The entanglement decays
smoothly for la... | 1202.4089v1 |
2012-03-02 | Damping-Antidamping Effect on Comets Motion | We make an observation about Galilean transformation on a 1-D mass variable
systems which leads us to the right way to deal with mass variable systems.
Then using this observation, we study two-bodies gravitational problem where
the mass of one of the bodies varies and suffers a damping-antidamping effect
due to star w... | 1203.0495v2 |
2012-03-03 | Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping | We investigate the freezing phenomenon of quantum discord occurring in phase
damping noise processes. By relating the expression of the time variation of
the discord to the convex function of relative entropy, we obtain the necessary
and sufficient conditions of the phenomenon for standard Bell-diagonal states.
These c... | 1203.0650v3 |
2012-03-06 | Universal anomalous diffusion of weakly damped particles | We show that anomalous diffusion arises in two different models for the
motion of randomly forced and weakly damped particles: one is a generalisation
of the Ornstein-Uhlenbeck process with a random force which depends on position
as well as time, the other is a generalisation of the Chandrasekhar-Rosenbluth
model of s... | 1203.1354v1 |
2012-03-09 | Collective Light Emission of a Finite Size Atomic Chain | Radiative properties of collective electronic states in a one dimensional
atomic chain are investigated. Radiative corrections are included with
emphasize put on the effect of the chain size through the dependence on both
the number of atoms and the lattice constant. The damping rates of collective
states are calculate... | 1203.2094v1 |
2012-03-13 | Monopoles in ferromagnetic metals | The aim of this short review is to give an introduction to monopoles and to
present theoretical derivation of two particular monopoles in ferromagnetic
metals, a hedgehog monopole and a spin damping monopole. Spin damping monopoles
can be generated in simple systems such as a junction of a ferromagnet and a
heavy eleme... | 1203.2709v1 |
2012-03-16 | Report from KEK (High gradient study results from Nextef) | Most up-to-date high gradient test of the CLIC prototype structures as of
September 2011 is described in this report. The "T24" undamped structure showed
fast processing time, still-decreasing breakdown rate and its breakdown rate
was estimated to be as low as the CLIC requirement. The "TD24" damped structure
showed no... | 1203.3626v1 |
2012-03-30 | Energy decay rates for solutions of the wave equation with linear damping in exterior domain | In this paper we study the behavior of the energy of solutions of the wave
equation with localized damping in exterior domain. We assume that the damper
is positive at infinity. Under the Geometric Control Condition of Bardos et al
(1992), we prove that: 1) The total energy decay like O(1/t) and L^2-norm is
bounded for... | 1203.6780v4 |
2012-04-03 | Modification in Silling's Peridynamic Formulation of Elasticity Theory for Discontinuities and Long-Range Forces | We suggest modified version of Silling's peridynamic equation of motion
within the framework of Silling's peridynamics formulation (J. Mech. Phys.
Solids {\bf 48}, pp.175-209, 2000) of elasticity theory. The modified equation
contains an additional damping force term. This term can eliminate artificial
oscillations in ... | 1204.0612v2 |
2012-04-06 | Experimental signatures of the quantum-classical transition in a nanomechanical oscillator modeled as a damped driven double-well problem | We demonstrate robust and reliable signatures for the transition from quantum
to classical behavior in the position probability distribution of a damped
double-well system using the Qunatum State Diffusion approach to open quantum
systems. We argue that these signatures are within experimental reach, for
example in a d... | 1204.1397v1 |
2012-05-31 | The impact of fill patterns on the fast ion instability in the ILC damping ring | The ions produced via collisional ionization of the residual gas molecules in
vacuum pipe with the circulating electron beam have deleterious effect on the
beam properties and may become a limiting factor for the machine's performance.
For the electron damping ring of the International Linear Collider (ILC), the
ion in... | 1205.6977v1 |
2012-06-11 | Damping and decoherence of Fock states in a nanomechanical resonator due to two level systems | We numerically investigate the decay of initial quantum Fock states and their
superpositions for a mechanical resonator mode coupled to an environment
comprising interacting, damped tunneling two level system (TLS) defects. The
cases of one, three, and six near resonant, interacting TLS's are considered in
turn and it ... | 1206.2200v1 |
2012-07-13 | Magnetic relaxation in bilayers of yttrium iron garnet/platinum due to the dynamic coupling at the interface | We show that in ferromagnetic (FM)/normal metal (NM) bilayers the dynamic
coupling at the interface transfers an additional magnetic relaxation from the
heavily damped motion of the conduction electron spins in the NM layer to the
FM spins. While the FM relaxation rates due to two-magnon scattering and spin
pumping dec... | 1207.3330v1 |
2012-07-23 | Quantum interference induced by initial system-environment correlations | We investigate the quantum interference induced by a relative phase in the
correlated initial state of a system which consists in a two-level atom
interacting with a damped mode of the radiation field. We show that the initial
relative phase has significant effects on both the evolution of the atomic
excited-state popu... | 1207.5474v1 |
2012-08-21 | Dancing bunches as Van Kampen modes | Van Kampen modes are eigen-modes of Jeans-Vlasov equation. Their spectrum
consists of continuous and, possibly, discrete parts. Onset of a discrete van
Kampen mode means emergence of a coherent mode without any Landau damping;
thus, even a tiny couple-bunch wake is sufficient to drive instability.
Longitudinal instabil... | 1208.4338v1 |
2012-08-22 | Polynomial stabilization of some dissipative hyperbolic systems | We study the problem of stabilization for the acoustic system with a
spatially distributed damping. Imposing various hypotheses on the structural
properties of the damping term, we identify either exponential or polynomial
decay of solutions with growing time. Expo- nential decay rate is shown by
means of a time domain... | 1208.4485v1 |
2012-09-07 | Quantum Damped Harmonic Oscillator | In this chapter we treat the quantum damped harmonic oscillator, and study
mathematical structure of the model, and construct general solution with any
initial condition, and give a quantum counterpart in the case of taking
coherent state as an initial condition.
This is a simple and good model of Quantum Mechanics w... | 1209.1437v1 |
2012-10-08 | Comment on "Thermal fluctuations of magnetic nanoparticles" [arXiv:1209.0298] | We comment on some misleading and biased statements appearing in the
manuscript arXiv:1209.0298 ("Thermal fluctuations of magnetic nanoparticles")
about the use of the damped Landau-Lifshitz equation and the kinetic Langer
theory for the calculation of the relaxation rate of magnetic nanoclusters. We
reiterate simple s... | 1210.2436v1 |
2012-10-10 | Phonon momentum and damping of mechanical resonators | The concept of physical momentum associated to phonons in a crystal,
complemented with some fundamental reasoning, implies measurable effects in
crystals even at a macroscopic scale. We show that, in close analogy with the
transfer of momentum in the kinetic theory of gases, physical momentum carried
by of phonons coup... | 1210.2847v1 |
2012-10-12 | HTS wiggler concept for a damping ring | Magnetic design proposed for a damping ring (DR) is based on second
generation HTS cabling technology applied to the DC windings with a yoke and
mu-metal-shimmed pole to achieve ~2T high-quality field within a 86 mm gap and
32-40 cm period. Low levels of current densities (~90-100A/mm2) provide a
robust, reliable opera... | 1210.3648v1 |
2012-10-23 | Dynamic response of open cell dry foams | We study the mechanical response of an open cell dry foam subjected to
periodic forcing using experiments and theory. Using the measurements of the
static and dynamic stress-strain relationship, we derive an over-damped model
of the foam, as a set of infinitesimal non-linear springs, where the damping
term depends on t... | 1210.6229v1 |
2012-10-31 | Quantum discord of Bell cat-states under amplitude damping | The evolution of pairwise quantum correlations of Bell cat-states under
amplitude damping is examined using the concept of quantum discord which goes
beyond entanglement. A closed expression of the quantum discord is explicitly
derived. We used of the Koashi-Winter relation. A relation which facilitates
the optimizatio... | 1210.8309v1 |
2012-10-31 | Upsilon suppression in PbPb collisions at the LHC | We suggest that the combined effect of screening, gluon-induced dissociation,
collisional damping, and reduced feed-down explains most of the sequential
suppression of Upsilon(nS) states that has been observed in PbPb relative to pp
collisions at sqrt(s_NN) = 2.76 TeV. The suppression is thus a clear, albeit
indirect, ... | 1210.8366v2 |
2012-11-04 | The Threshold between Effective and Noneffective Damping for Semilinear Waves | In this paper we study the global existence of small data solutions to the
Cauchy problem for the semilinear wave equation with scale-invariant damping.
We obtain estimates for the solution and its energy with the same decay rate of
the linear problem. We extend our results to a model with polynomial speed of
propagati... | 1211.0731v2 |
2012-11-10 | Heavy quark quenching from RHIC to LHC and the consequences of gluon damping | In this contribution to the Quark Matter 2012 conference, we study whether
energy loss models established for RHIC energies to describe the quenching of
heavy quarks can be applied at LHC with the same success. We also benefit from
the larger $p_T$-range accessible at this accelerator to test the impact of
gluon dampin... | 1211.2281v1 |
2012-11-30 | Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation | We study a damped semi-linear wave equation in a bounded domain with smooth
boundary. It is proved that any sufficiently smooth solution can be stabilised
locally by a finite-dimensional feedback control supported by a given open
subset satisfying a geometric condition. The proof is based on an investigation
of the lin... | 1211.7202v1 |
2012-12-06 | The physics of business cycles and inflation | We analyse four consecutive cycles observed in the USA for employment and
inflation. They are driven by three oil price shocks and an intended interest
rate shock. Non-linear coupling between the rate equations for consumer
products as prey and consumers as predators provides the required instability,
but its natural d... | 1212.1282v1 |
2012-12-13 | CMB Distortions from Damping of Acoustic Waves Produced by Cosmic Strings | We study diffusion damping of acoustic waves in the photon-baryon fluid due
to cosmic strings, and calculate the induced $\mu$- and $y$-type spectral
distortions of the cosmic microwave background. For cosmic strings with tension
within current bounds, their contribution to the spectral distortions is
subdominant compa... | 1212.3283v2 |
2013-01-21 | Asymptotic parabolicity for strongly damped wave equations | For $S$ a positive selfadjoint operator on a Hilbert space, \[
\frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of
wave equations with strong friction or damping if $F$ is a positive Borel
function. Under suitable hypotheses, it is shown that \[ u(t)=v(t)+ w(t) \]
where $v$ satisfies \[ 2F(S... | 1301.4979v1 |
2013-02-04 | Gravity waves on the surface of topological superfluid 3He-B | We have observed waves on the free surface of 3He-B sample at temperatures
below 0.2mK. The waves are excited by vibrations of the cryostat and detected
by coupling the surface to the Bose-Einstein condensate of magnon
quasiparticles in the superfluid. The two lowest gravity-wave modes in our
cylindrical container are ... | 1302.0764v1 |
2013-02-12 | On the fractional damped oscillators and fractional forced oscillators | In this paper, we use the fractional calculus to discuss the fractional
mechanics, where the time derivative is replaced with the fractional derivative
of order $\nu$. We deal with the motion of a body in a resisting medium where
the retarding force is assumed to be proportional to the fractional velocity
which is obta... | 1302.2847v1 |
2013-02-25 | Optimal damping algorithm for unrestricted Hartree-Fock calculations | We have developed a couple of optimal damping algorithms (ODAs) for
unrestricted Hartree-Fock (UHF) calculations of open-shell molecular systems. A
series of equations were derived for both concurrent and alternate
constructions of alpha- and beta-Fock matrices in the integral-direct
self-consistent-field (SCF) procedu... | 1302.6099v1 |
2013-03-08 | Entanglement of Open Quantum Systems in Noninertial Frames | We study the effects of decoherence on the entanglement generated by Unruh
effect in accelerated frames by using various combinations of an amplitude
damping channel, a phase damping channel and a depolarizing channel in the form
of multilocal and collective environments. Using concurrence as entanglement
quantifier, w... | 1303.2034v1 |
2013-03-21 | Glued trees algorithm under phase damping | We study the behaviour of the glued trees algorithm described by Childs et
al. in [STOC `03, Proc. 35th ACM Symposium on Theory of Computing (2004) 59]
under decoherence. We consider a discrete time reformulation of the continuous
time quantum walk protocol and apply a phase damping channel to the coin state,
investiga... | 1303.5319v2 |
2013-04-04 | Pais-Uhlenbeck Oscillator with a Benign Friction Force | It is shown that the Pais-Uhlenbeck oscillator with damping, considered by
Nesterenko, is a special case of a more general oscillator that has not only a
first order, but also a third order friction term. If the corresponding damping
constants, \alpha\ and \beta, are both positive and below certain critical
values, the... | 1304.1325v2 |
2013-05-13 | Guaranteed convergence of the Kohn-Sham equations | A sufficiently damped iteration of the Kohn-Sham equations with the exact
functional is proven to always converge to the true ground-state density,
regardless of the initial density or the strength of electron correlation, for
finite Coulomb systems. We numerically implement the exact functional for
one-dimensional con... | 1305.2967v2 |
2013-06-25 | Decoherence effects in the quantum qubit flip game using Markovian approximation | We are considering a quantum version of the penny flip game, whose
implementation is influenced by the environment that causes decoherence of the
system. In order to model the decoherence we assume Markovian approximation of
open quantum system dynamics. We focus our attention on the phase damping,
amplitude damping an... | 1306.5957v1 |
2013-07-06 | The 3-dimensional oscillon equation | On a bounded three-dimensional smooth domain, we consider the generalized
oscillon equation with Dirichlet boundary conditions, with time-dependent
damping and time-dependent squared speed of propagation. Under structural
assumptions on the damping and the speed of propagation, which include the
relevant physical case ... | 1307.1777v1 |
2013-08-30 | A conservative, skew-symmetric Finite Difference Scheme for the compressible Navier--Stokes Equations | We present a fully conservative, skew-symmetric finite difference scheme on
transformed grids. The skew-symmetry preserves the kinetic energy by first
principles, simultaneously avoiding a central instability mechanism and
numerical damping. In contrast to other skew-symmetric schemes no special
averaging procedures ar... | 1308.6672v1 |
2013-09-09 | Classical and quantum capacities of a fully correlated amplitude damping channel | We study information transmission over a fully correlated amplitude damping
channel acting on two qubits. We derive the single-shot classical channel
capacity and show that entanglement is needed to achieve the channel best
performance. We discuss the degradability properties of the channel and
evaluate the quantum cap... | 1309.2219v3 |
2013-09-13 | Polarization hydrodynamics in a one-dimensional polariton condensate | We study the hydrodynamics of a nonresonantly-pumped polariton condensate in
a quasi-one-dimensional quantum wire taking into account the spin degree of
freedom. We clarify the relevance of the Landau criterion for superfluidity in
this dissipative two-component system. Two Cherenkov-like critical velocities
are identi... | 1309.3494v1 |
2013-09-26 | Imperfect geometric control and overdamping for the damped wave equation | We consider the damped wave equation on a manifold with imperfect geometric
control. We show the sub-exponential energy decay estimate in
\cite{Chr-NC-erratum} is optimal in the case of one hyperbolic periodic
geodesic. We show if the equation is overdamped, then the energy decays
exponentially. Finally we show if the ... | 1309.6967v1 |
2013-10-01 | Scalar filed evolution and area spectrum for Lovelock-AdS black holes | We study the modes of evolution of massless scalar fields in the
asymptotically AdS spacetime surrounding maximally symmetric black holes of
large and intermediate size in the Lovelock model. It is observed that all
modes are purely damped at higher orders. Also, the rate of damping is seen to
be independent of order a... | 1310.0159v2 |
2013-10-16 | Perturbative quantum damping of cosmological expansion | Perturbative quantum gravity in the framework of the Schwinger-Keldysh
formalism is applied to compute lowest-order corrections to the actual
expansion of the Universe described in terms of the spatially flat
Friedman-Lematre-Robertson-Walker solution. The classical metric is
approximated by a third order polynomial pe... | 1310.4308v2 |
2013-10-27 | Loss of non-Gaussianity for damped photon-subtracted thermal states | We investigate non-Gaussianity properties for a set of classical one-mode
states obtained by subtracting photons from a thermal state. Three
distance-type degrees of non-Gaussianity used for these states are shown to
have a monotonic behaviour with respect to their mean photon number. Decaying
of their non-Gaussianity ... | 1310.7229v1 |
2013-10-27 | Landau damping effects and evolutions of energy spread in small isochronous ring | This paper presents the Landau damping effects on the microwave instability
of a coasting long bunch in an isochronous ring due to finite energy spread and
emittance. Our two-dimensional (2D) dispersion relation gives more accurate
predictions of the microwave instability growth rates of short-wavelength
perturbations ... | 1310.7253v3 |
2013-10-28 | Robustness of multiparticle entanglement: specific entanglement classes and random states | We investigate the robustness of genuine multiparticle entanglement under
decoherence. We consider different kinds of entangled three- and four-qubit
states as well as random pure states. For amplitude damping noise, we find that
the W-type states are most robust, while other states are not more robust than
generic sta... | 1310.7336v2 |
2013-11-22 | Complexity of the minimum-time damping of a physical pendulum | We study the minimum-time damping of a physical pendulum by means of a
bounded control. In the similar problem for a linear oscillator each optimal
trajectory possesses a finite number of control switchings from the maximal to
the minimal value. If one considers simultaneously all optimal trajectories
with any initial ... | 1311.5729v1 |
2013-12-16 | Local Energy Decay for the Damped Wave Equation | We prove local energy decay for the damped wave equation on R^d. The problem
which we consider is given by a long range metric perturbation of the Euclidean
Laplacian with a short range absorption index. Under a geometric control
assumption on the dissipation we obtain an almost optimal polynomial decay for
the energy ... | 1312.4483v1 |
2013-12-23 | Photonic tuning of quasi-particle decay in a superfluid | We show that the damping rate of elementary excitations of hybrid systems
close to a phase transition can undergo a remarkable resonance like enhancement
before mode softening takes place. In particular, we consider the friction of a
collective density wave in a homogeneous superfluid of weakly interacting
bosonic atom... | 1312.6719v1 |
2014-01-04 | Entanglement and quantum teleportation via decohered tripartite entangled states | The entanglement behavior of two classes of multi-qubit system, GHZ and GHZ
like states passing through a generalized amplitude damping channel is
discussed. Despite this channel causes degradation of the entangled properties
and consequently their abilities to perform quantum teleportation, one can
always improve the ... | 1401.0796v1 |
2014-02-11 | New approach for Damping in a squeezed bath and its time evolution through Complete Class of Gaussian Quasi-distributions | By virtue of the thermal entangled states representation of density operator
and using dissipative interaction picture we solve the master equation of a
driven damped harmonic oscillator in a squeezed bath. We show that the
essential part of the dynamics can be expressed by the convolution of initial
Wigner function wi... | 1402.2545v1 |
2014-02-11 | New approach for solving master equations of density operator for the Jaynes Cummings Model with Cavity Damping | By introducing thermal entangled state representation which can map master
equations of density operator in quantum statistics as state vector evolution
equations and using dissipative interaction picture we solve the master
equation of J-C model with cavity damping. In addition we derive the Wigner
function for densit... | 1402.2556v1 |
2014-02-19 | Superfluid Bloch dynamics in an incommensurate lattice | We investigate the interplay of disorder and interactions in the accelerated
transport of a Bose-Einstein condensate through an incommensurate optical
lattice. We show that interactions can effectively cancel the damping of Bloch
oscillations due to the disordered potential and we provide a simple model to
qualitativel... | 1402.4830v1 |
2014-02-21 | Weakly damped acoustic plasmon mode in transition metal dichalcogenides with Zeeman splitting | We analyze the effect of a strong Zeeman field on the spectrum of collective
excitations of monolayer transition metal dichalcogenides. The combination of
the Dresselhaus type spin orbit coupling and an external Zeeman field result in
the lifting of the valley degeneracy in the valence band of these crystals. We
show t... | 1402.5274v1 |
2014-04-18 | On the Instability and Critical Damping Conditions, $kτ= 1/e$ and $kτ= π/2$ of the equation $\dotθ = -k θ(t-τ)$ | In this note, I show that it is possible to use elementary mathematics,
instead of the machinery of Lambert function, Laplace Transform, or numerics,
to derive the instability condition, $k \tau = \pi/2$, and the critical damping
condition, $k\tau = 1/e$, for the time-delayed equation $\dot{\theta} = -k
\theta(t-\tau)$... | 1404.4763v1 |
2014-04-22 | Nonlinear-damped Duffing oscillators having finite time dynamics | A class of modified Duffing oscillator differential equations, having
nonlinear damping forces, are shown to have finite time dynamics, i.e., the
solutions oscillate with only a finite number of cycles, and, thereafter, the
motion is zero. The relevance of this feature is briefly discussed in
relationship to the mathem... | 1404.5596v1 |
2014-05-01 | On the collapse of trial solutions for a damped-driven non-linear Schrödinger equation | We consider the focusing 2D non-linear Schr\"odinger equation, perturbed by a
damping term, and driven by multiplicative noise. We show that a physically
motivated trial solution does not collapse for any admissible initial condition
although the exponent of the non-linearity is critical. Our method is based on
the con... | 1405.0151v3 |
2014-05-02 | Dynamic phase diagram of dc-pumped magnon condensates | We study the effects of nonlinear dynamics and damping by phonons on a system
of interacting electronically pumped magnons in a ferromagnet. The nonlinear
effects are crucial for constructing the dynamic phase diagram, which describes
how "swasing" and Bose-Einstein condensation emerge out of the
quasiequilibrated ther... | 1405.0522v1 |
2014-05-05 | Finite time extinction for nonlinear Schrodinger equation in 1D and 2D | We consider a nonlinear Schrodinger equation with power nonlinearity, either
on a compact manifold without boundary, or on the whole space in the presence
of harmonic confinement, in space dimension one and two. Up to introducing an
extra superlinear damping to prevent finite time blow up, we show that the
presence of ... | 1405.0995v1 |
2014-05-16 | Investigation of Power-Law Damping/Dissipative Forces | The properties of a one space-dimension, one particle dynamical system under
the influence of a purely dissipative force are investigated. Assuming this
force depends only on the velocity, it is demonstrated, in contrast to the case
of linear damping, that there exist dissipative forces for which the particle
\textquot... | 1405.4062v1 |
2014-06-02 | Nonlinear coupler operating on Werner-like states - entanglement creation, its enhancement and preservation | We discuss a model of two nonlinear Kerr-like oscillators, mutually coupled
and excited by parametric process. We show that the system's evolution,
starting from Werner-like states, remains closed within a small set of two-mode
n-photon states the system, and pure two-qubit entangled state can be
generated. For some in... | 1406.0414v1 |
2014-06-10 | A determining form for the damped driven Nonlinear Schrödinger Equation- Fourier modes case | In this paper we show that the global attractor of the 1D damped, driven,
nonlinear Schr\"odinger equation (NLS) is embedded in the long-time dynamics of
a determining form. The determining form is an ordinary differential equation
in a space of trajectories $X=C_b^1(\mathbb{R}, P_mH^2)$ where $P_m$ is the
$L^2$-projec... | 1406.2626v1 |
2014-08-20 | Initial Layer and Relaxation Limit of Non-Isentropic Compressible Euler Equations with Damping | In this paper, we study the relaxation limit of the relaxing Cauchy problem
for non-isentropic compressible Euler equations with damping in
multi-dimensions. We prove that the velocity of the relaxing equations
converges weakly to that of the relaxed equations, while other variables of the
relaxing equations converges ... | 1408.4784v1 |
2014-08-26 | Exponential decay for the damped wave equation in unbounded domains | We study the decay of the semigroup generated by the damped wave equation in
an unbounded domain. We first prove under the natural geometric control
condition the exponential decay of the semigroup. Then we prove under a weaker
condition the logarithmic decay of the solutions (assuming that the initial
data are smoothe... | 1408.6054v2 |
2014-10-03 | Relaxation of regularity for the Westervelt equation by nonlinear damping with application in acoustic-acoustic and elastic-acoustic coupling | In this paper we show local (and partially global) in time existence for the
Westervelt equation with several versions of nonlinear damping. This enables us
to prove well-posedness with spatially varying $L_\infty$-coefficients, which
includes the situation of interface coupling between linear and nonlinear
acoustics a... | 1410.0797v1 |
2014-10-13 | Vortex gyration mediated by spin waves driven by an out-of-plane oscillating magnetic field | In this letter we address the vortex core dynamics involved in gyration
excitation and damping change by out-of-plane oscillating magnetic fields. When
the vortex core is at rest under the effect of in-plane bias magnetic fields,
the spin waves excited by the perpendicular magnetic field can induce obvious
vortex gyrat... | 1410.3230v1 |
2014-10-23 | Non-equilibrium thermodynamics approach to open quantum systems | Open quantum systems are studied from the thermodynamical point of view
unifying the principle of maximum informational entropy and the hypothesis of
relaxation times hierarchy. The result of the unification is a non-Markovian
and local in time master equation that provides a direct connection of
dynamical and thermody... | 1410.6312v2 |
2014-10-27 | Linear Inviscid Damping for Monotone Shear Flows | In this article, we prove linear stability, scattering and inviscid damping
with optimal decay rates for the linearized 2D Euler equations around a large
class of strictly monotone shear flows, $(U(y),0)$, in a periodic channel under
Sobolev perturbations. Here, we consider the settings of both an infinite
periodic cha... | 1410.7341v2 |
2014-11-08 | Damping of liquid sloshing by foams: from everyday observations to liquid transport | We perform experiments on the sloshing dynamics of liquids in a rectangular
container submitted to an impulse. We show that when foam is placed on top of
the liquid the oscillations of the free interface are significantly damped. The
ability to reduce sloshing and associated splashing could find applications in
numerou... | 1411.2123v1 |
2014-11-17 | A geometric mesh smoothing algorithm related to damped oscillations | We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral
and hexahedral meshes whose centerpiece is a simple geometric triangle
transformation. The first part focuses on the mathematical properties of the
element transformation. In particular, the transformation gives rise directly
to a continuous mo... | 1411.4390v3 |
2014-12-05 | Exponential dephasing of oscillators in the Kinetic Kuramoto Model | We study the kinetic Kuramoto model for coupled oscillators with coupling
constant below the synchronization threshold. We manage to prove that, for any
analytic initial datum, if the interaction is small enough, the order parameter
of the model vanishes exponentially fast, and the solution is asymptotically
described ... | 1412.1923v1 |
2014-12-23 | Selftrapping triggered by losses in cavity QED | In a coupled cavity QED network model, we study the transition from a
localized super fluid like state to a delocalized Mott insulator like state,
triggered by losses. Without cavity losses, the transition never takes place.
Further, if one measures the quantum correlations between the polaritons via
the negativity, we... | 1412.7495v1 |
2015-01-07 | Two-photon lasing by a superconducting qubit | We study the response of a magnetic-field-driven superconducting qubit
strongly coupled to a superconducting coplanar waveguide resonator. We observed
a strong amplification/damping of a probing signal at different resonance
points corresponding to a one and two-photon emission/absorption. The sign of
the detuning betw... | 1501.01543v1 |
2015-02-02 | Enhanced oscillation lifetime of a Bose-Einstein condensate in the 3D/1D crossover | We have measured the damped motion of a trapped Bose-Einstein condensate,
oscillating with respect to a thermal cloud. The cigar-shaped trapping
potential provides enough transverse confinement that the dynamics of the
system are intermediate between three-dimensional and one-dimensional. We find
that oscillations pers... | 1502.00430v2 |
2015-02-03 | Nonequilibrium dynamics of an ultracold dipolar gas | We study the relaxation and damping dynamics of an ultracold, but not quantum
degenerate, gas consisting of dipolar particles. These simulations are
performed using a direct simulation Monte Carlo method and employing the highly
anisotropic differential cross section of dipoles in the Wigner threshold
regime. We find t... | 1502.00960v1 |
2015-02-01 | On the Stability of Cylindrical Tangential Discontinuity, Generation and Damping of Helical Waves | Stability of cylindrical interface between two ideal incompressible fluids,
including the magnetic field, surface tension and gravitational field is
studied in linear approximation. We found that helical waves arising both in
plasma comet tails and on the vertical cylindrical water jet in the air are
described by the s... | 1502.00989v1 |
2015-03-04 | On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method | We revise the Lewis-Riesenfeld invariant method for solving the quantum
time-dependent harmonic oscillator in light of the Quantum Arnold
Transformation previously introduced and its recent generalization to the
Quantum Arnold-Ermakov-Pinney Transformation. We prove that both methods are
equivalent and show the advanta... | 1503.01371v1 |
2015-03-06 | On the strongly damped wave equation with constraint | A weak formulation for the so-called "semilinear strongly damped wave
equation with constraint" is introduced and a corresponding notion of solution
is defined. The main idea in this approach consists in the use of duality
techniques in Sobolev-Bochner spaces, aimed at providing a suitable
"relaxation" of the constrain... | 1503.01911v1 |
2015-03-23 | Spin-Orbit Torques in Two-Dimensional Rashba Ferromagnets | Magnetization dynamics in single-domain ferromagnets can be triggered by
charge current if spin-orbit coupling is sufficiently strong. We apply
functional Keldysh theory to investigate Rashba spin-orbit torques in metallic
two-dimensional ferromagnets. A reactive, anti-damping-like spin-orbit torque
as well as a dissip... | 1503.06872v2 |
2015-04-18 | Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-space | In this paper, we derive explicit sharp two-sided estimates for the Dirichlet
heat kernels of a large class of symmetric (but not necessarily rotationally
symmetric) L\'evy processes on half spaces for all $t>0$. These L\'evy
processes may or may not have Gaussian component. When L\'evy density is
comparable to a decre... | 1504.04673v2 |
2015-05-05 | The transition from the classical to the quantum regime in nonlinear Landau damping | Starting from the Wigner-Moyal equation coupled to Poisson's equation, a
simplified set of equations describing nonlinear Landau damping of Langmuir
waves is derived. This system is studied numerically, with a particular focus
on the transition from the classical to the quantum regime. In the quantum
regime several new... | 1505.01381v1 |
2015-05-08 | The amplification of weak measurements under quantum noise | The influence of outside quantum noises on the amplification of weak
measurements is investigated. Three typical quantum noises are discussed. The
maximum values of the pointer's shifts decrease sharply with the strength of
the depolarizing channel and phase damping. In order to obtain significant
amplified signals, th... | 1505.01911v1 |
2015-05-27 | Local energy decay and smoothing effect for the damped Schr{ö}dinger equation | We prove the local energy decay and the smoothing effect for the damped
Schr{\"o}dinger equation on R^d. The self-adjoint part is a Laplacian
associated to a long-range perturbation of the flat metric. The proofs are
based on uniform resolvent estimates obtained by the dissipative Mourre method.
All the results depend ... | 1505.07200v1 |
2015-06-01 | Local decay for the damped wave equation in the energy space | We improve a previous result about the local energy decay for the damped wave
equation on R^d. The problem is governed by a Laplacian associated with a long
range perturbation of the flat metric and a short range absorption index. Our
purpose is to recover the decay O(t^{--d+$\epsilon$}) in the weighted energy
spaces. ... | 1506.00377v1 |
2015-06-03 | Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates | The opening of the pseudogap in underdoped cuprates breaks up the Fermi
surface, which may lead to a breakup of the d-wave order parameter into two
subband amplitudes and a low energy Leggett mode due to phase fluctuations
between them. This causes a large increase in the temperature range of
superconducting fluctuatio... | 1506.01258v1 |
2015-06-06 | On higher regularity for the Westervelt equation with strong nonlinear damping | We show higher interior regularity for the Westervelt equation with strong
nonlinear damping term of the $q$-Laplace type. Secondly, we investigate an
interface coupling problem for these models, which arise, e.g., in the context
of medical applications of high intensity focused ultrasound in the treatment
of kidney st... | 1506.02125v1 |
2015-06-08 | Intermode-coupling modulation in the fermion-boson model: heating effects in the BCS regime | Heating induced by an oscillating modulation of the interaction strength in
an atomic Fermion pair condensate is analyzed. The coupled fermion-boson model,
generalized by incorporating a time-dependent intermode coupling through a
magnetic Feshbach resonance, is applied. The dynamics is analytically
characterized in a ... | 1506.02612v1 |
2015-06-22 | N-body description of Debye shielding and Landau damping | This paper brings further insight into the recently published N-body
description of Debye shielding and Landau damping [Escande D F, Elskens Y and
Doveil F 2014 Plasma Phys. Control. Fusion 57 025017]. Its fundamental equation
for the electrostatic potential is derived in a simpler and more rigorous way.
Various physic... | 1506.06468v2 |
2015-07-23 | Millisecond newly born pulsars as efficient accelerators of electrons | The newly born millisecond pulsars are investigated as possible energy
sources for creating ultra-high energy electrons. The transfer of energy from
the star rotation to high energy electrons takes place through the Landau
damping of centrifugally driven (via a two stream instability) electrostatic
Langmuir waves. Gene... | 1507.06415v1 |
2015-07-28 | Stability of solutions to nonlinear wave equations with switching time-delay | In this paper we study well-posedness and asymptotic stability for a class of
nonlinear second-order evolution equations with intermittent delay damping.
More precisely, a delay feedback and an undelayed one act alternately in time.
We show that, under suitable conditions on the feedback operators, asymptotic
stability... | 1507.07787v1 |
2015-08-10 | Theory of the strongly-damped quantum harmonic oscillator | We analyse the properties of a strongly-damped quantum harmonic oscillator by
means of an exact diagonalisation of the full Hamiltonian, including both the
oscillator and the reservoir degrees of freedom to which it is coupled. Many of
the properties of the oscillator, including its steady-state properties and
entangle... | 1508.02442v1 |
2015-08-20 | Bump-on-tail instability of twisted excitations in rotating cold atomic clouds | We develop a kinetic theory for twisted density waves (phonons), carrying a
finite amount of orbital angular momentum, in large magneto optical traps,
where the collective processes due to the exchange of scattered photons are
considered. Explicit expressions for the dispersion relation and for the
kinetic (Landau) dam... | 1508.05127v1 |
2015-09-30 | Approximation of Invariant Measure for Damped Stochastic Nonlinear Schrödinger Equation via an Ergodic Numerical Scheme | In order to inherit numerically the ergodicity of the damped stochastic
nonlinear Schr\"odinger equation with additive noise, we propose a fully
discrete scheme, whose spatial direction is based on spectral Galerkin method
and temporal direction is based on a modification of the implicit Euler scheme.
We not only prove... | 1509.09148v2 |
2015-10-02 | Cavity and HOM Coupler Design for CEPC | In this paper we will show a cavity and higher order mode (HOM) coupler
designing scheme for the Circular Electron-Positron Collider (CEPC) main ring.
The cavity radio frequency (RF) design parameters are showed in this paper. The
HOM power is calculated based on the beam parameters in the Preliminary
Conceptual Design... | 1510.00467v1 |
2015-11-08 | Upper semicontinuity of pullback attractors for damped wave equations | In this paper, we study the upper semicontinuity of pullback attractors for a
strongly damped wave equation. In particular, under some proper assumptions, we
prove that, the pullback attractor $\{A_\varepsilon(t)\}_{t\in\mathbb R}$} of
Eq.(1.1) with $\varepsilon\in[0,1]$ satisfies that for any $[a,b]\subset\mathbb
R$ a... | 1511.02481v2 |
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