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2021-12-21 | ISS-Based Robustness to Various Neglected Damping Mechanisms for the 1-D Wave PDE | This paper is devoted to the study of the robustness properties of the 1-D
wave equation for an elastic vibrating string under four different damping
mechanisms that are usually neglected in the study of the wave equation: (i)
friction with the surrounding medium of the string (or viscous damping), (ii)
thermoelastic p... | 2112.11287v1 |
2022-01-20 | Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configuration | It is a fundamental problem in mathematical physics to derive macroscopic
transport equations from microscopic models. In this paper we derive the linear
Boltzmann equation in the low-density limit of a damped quantum Lorentz gas for
a large class of deterministic and random scatterer configurations. Previously
this re... | 2201.08229v2 |
2022-01-22 | Effect of MagneticField on the Damping Behavior of a Ferrofluid based Damper | This paper is an extension of our earlier work where we had reported a proof
of concept for a ferrofluid based damper. The damper used ferrofluid as damping
medium and it was seen that damping efficiency of the damper changes on
application of magnetic field. The present paper deals with a systematic study
of the effec... | 2201.09027v1 |
2022-01-28 | Machine learning-based method of calorimeter saturation correction for helium flux analysis with DAMPE experiment | DAMPE is a space-borne experiment for the measurement of the cosmic-ray
fluxes at energies up to around 100 TeV per nucleon. At energies above several
tens of TeV, the electronics of DAMPE calorimeter would saturate, leaving
certain bars with no energy recorded. In the present work we discuss the
application of machine... | 2201.12185v3 |
2022-04-01 | On the Importance of High-Frequency Damping in High-Order Conservative Finite-Difference Schemes for Viscous Fluxes | This paper discusses the importance of high-frequency damping in high-order
conservative finite-difference schemes for viscous terms in the Navier-Stokes
equations. Investigating nonlinear instability encountered in a high-resolution
viscous shock-tube simulation, we have discovered that a modification to the
viscous s... | 2204.00393v1 |
2022-06-20 | Stability and Damping in the Disks of Massive Galaxies | After their initial formation, disk galaxies are observed to be rotationally
stable over periods of >6 Gyr, implying that any large velocity disturbances of
stars and gas clouds are damped rapidly on the timescale of their rotation.
However, it is also known that despite this damping, there must be a degree of
random l... | 2206.09671v2 |
2022-09-15 | Superfluid $^4$He as a rigorous test bench for different damping models in nanoelectromechanical resonators | We have used nanoelectromechanical resonators to probe superfluid $^4$He at
different temperature regimes, spanning over four orders of magnitude in
damping. These regimes are characterized by the mechanisms which provide the
dominant contributions to damping and the shift of the resonance frequency:
tunneling two leve... | 2209.07229v2 |
2022-11-08 | On the injection scale of the turbulence in the partially ionized very local interstellar medium | The cascade of magnetohydrodynamic (MHD) turbulence is subject to ion-neutral
collisional damping and neutral viscous damping in the partially ionized
interstellar medium. By examining the damping effects in the warm and partially
ionized local interstellar medium, we find that the interstellar turbulence is
damped by ... | 2211.04496v1 |
2022-12-11 | The overtone level spacing of a black hole quasinormal frequencies: a fingerprint of a local $SL(2,\mathbb{R})$ symmetry | The imaginary part of the quasinormal frequencies spectrum for a static and
spherically symmetric black hole is analytically known to be equally spaced,
both for the highly damped and the weakly damped families of quasinormal modes.
Some interesting attempts have been made in the last twenty years to understand
in simp... | 2212.05538v1 |
2022-12-15 | Formation of shifted shock for the 3D compressible Euler equations with time-dependent damping | In this paper, we show the shock formation to the compressible Euler
equations with time-dependent damping $\frac{a\p u}{(1+t)^{\lam}}$ in three
spatial dimensions without any symmetry conditions. It's well-known that for
$\lam>1$, the damping is too weak to prevent the shock formation for suitably
large data. However,... | 2212.07828v1 |
2023-01-15 | Damped-driven system of bouncing droplets leading to deterministic diffusive behavior | Damped-driven systems are ubiquitous in science, however the damping and
driving mechanisms are often quite convoluted. This manuscript presents an
experimental and theoretical investigation of a fluidic droplet on a vertically
vibrating fluid bath as a damped-driven system. We study a fluidic droplet in
an annular cav... | 2301.06041v2 |
2023-03-01 | Generation of intraparticle quantum correlations in amplitude damping channel and its robustness | Quantum correlations between two or more different degrees of freedom of the
same particle is sometimes referred to as intraparticle entanglement. In this
work, we study these intra-particle correlations between two different degrees
of freedom under various decoherence channels viz. amplitude damping,
depolarising and... | 2303.01238v1 |
2023-03-16 | Quantum Brownian Motion in the Caldeira-Leggett Model with a Damped Environment | We model a quantum system coupled to an environment of damped harmonic
oscillators by following the approach of Caldeira-Leggett and adopting the
Caldirola-Kanai Lagrangian for the bath oscillators. In deriving the master
equation of the quantum system of interest (a particle in a general potential),
we show that the p... | 2303.09516v1 |
2023-03-22 | A Numerical Study of Landau Damping with PETSc-PIC | We present a study of the standard plasma physics test, Landau damping, using
the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of
the damping of small oscillations in plasmas without collisions. In the PIC
method, a hybrid discretization is constructed with a grid of finitely
supported basis... | 2303.12620v1 |
2023-04-07 | Shifted shock formation for the 3D compressible Euler equations with damping and variation of the vorticity | In this paper, we consider the shock formation problem for the
3-dimensional(3D) compressible Euler equations with damping inspired by the
work \cite{BSV3Dfulleuler}. It will be shown that for a class of large data,
the damping can not prevent the formation of point shock, and the damping
effect shifts the shock time a... | 2304.03506v2 |
2023-07-05 | Bayesian evidence for two slow-wave damping models in hot coronal loops | We compute the evidence in favour of two models, one based on field-aligned
thermal conduction alone and another that includes thermal misbalance as well,
in explaining the damping of slow magneto-acoustic waves in hot coronal loops.
Our analysis is based on the computation of the marginal likelihood and the
Bayes fact... | 2307.02439v1 |
2023-07-24 | From characteristic functions to multivariate distribution functions and European option prices by the damped COS method | We provide a unified framework for the computation of the distribution
function and the computation of prices of financial options from the
characteristic function of some density by the COS method. The classical COS
method is numerically very efficient in one-dimension but cannot deal very well
with certain financial ... | 2307.12843v6 |
2023-07-26 | A Nonlinear Damped Metamaterial: Wideband Attenuation with Nonlinear Bandgap and Modal Dissipation | In this paper, we incorporate the effect of nonlinear damping with the
concept of locally resonant metamaterials to enable vibration attenuation
beyond the conventional bandgap range. The proposed design combines a linear
host cantilever beam and periodically distributed inertia amplifiers as
nonlinear local resonators... | 2307.14165v2 |
2023-09-22 | Long time energy averages and a lower resolvent estimate for damped waves | We consider the damped wave equation on a compact manifold. We propose
different ways of measuring decay of the energy (time averages of lower energy
levels, decay for frequency localized data...) and exhibit links with resolvent
estimates on the imaginary axis. As an application we prove a universal
logarithmic lower ... | 2309.12709v1 |
2023-12-12 | Coordination of Damping Controllers: A Data-Informed Approach for Adaptability | This work proposes a data-informed approach for an adaptable coordination of
damping controllers. The novel concept of coordination is based on minimizing
the Total Action, a single metric that measures the system's dynamic response
post-disturbance. This is a performance measure based on the physics of the
power syste... | 2312.07739v1 |
2024-01-26 | Efficient Control of Magnetization Dynamics Via W/CuO$_\text{x}$ Interface | Magnetization dynamics, which determine the speed of magnetization switching
and spin information propagation, play a central role in modern spintronics.
Gaining its control will satisfy the different needs of various spintronic
devices. In this work, we demonstrate that the surface oxidized Cu
(CuO$_\text{x}$) can be ... | 2401.14708v1 |
2024-02-08 | The stability analysis based on viscous theory of Faraday waves in Hele-Shaw cells | The linear instability of Faraday waves in Hele-Shaw cells is investigated
with consideration of the viscosity of fluids after gap-averaging the governing
equations due to the damping from two lateral walls and the dynamic behavior of
contact angle. A new hydrodynamic model is thus derived and solved
semi-analytically.... | 2402.05505v2 |
2024-02-09 | Damping of density oscillations from bulk viscosity in quark matter | We study the damping of density oscillations in the quark matter phase that
might occur in compact stars. To this end we compute the bulk viscosity and the
associated damping time in three-flavor quark matter, considering both
nonleptonic and semileptonic electroweak processes. We use two different
equations of state o... | 2402.06595v1 |
2013-09-02 | Nonstrict inequality for Schmidt coefficients of three-qubit states | Generalized Schmidt decomposition of pure three-qubit states has four
positive and one complex coefficients. In contrast to the bipartite case, they
are not arbitrary and the largest Schmidt coefficient restricts severely other
coefficients. We derive a nonstrict inequality between three-qubit Schmidt
coefficients, whe... | 1309.0399v3 |
2018-10-30 | Generalized Stability of Heisenberg Coefficients | Stembridge introduced the notion of stability for Kronecker triples which
generalize Murnaghan's classical stability result for Kronecker coefficients.
Sam and Snowden proved a conjecture of Stembridge concerning stable Kronecker
triple, and they also showed an analogous result for Littlewood--Richardson
coefficients. ... | 1810.12512v1 |
2003-08-05 | Reliability of Calderbank-Shor-Steane Codes and Security of Quantum Key Distribution | After Mayers (1996, 2001) gave a proof of the security of the
Bennett-Brassard 1984 (BB84) quantum key distribution protocol, Shor and
Preskill (2000) made a remarkable observation that a Calderbank-Shor-Steane
(CSS) code had been implicitly used in the BB84 protocol, and suggested its
security could be proven by bound... | 0308029v6 |
2011-07-13 | (In-)Stability of Singular Equivariant Solutions to the Landau-Lifshitz-Gilbert Equation | In this paper we use formal asymptotic arguments to understand the stability
proper- ties of equivariant solutions to the Landau-Lifshitz-Gilbert model for
ferromagnets. We also analyze both the harmonic map heatflow and Schrodinger
map flow limit cases. All asymptotic results are verified by detailed numerical
experim... | 1107.2620v1 |
1996-09-10 | The Damping Tail of CMB Anisotropies | By decomposing the damping tail of CMB anisotropies into a series of transfer
functions representing individual physical effects, we provide ingredients that
will aid in the reconstruction of the cosmological model from small-scale CMB
anisotropy data. We accurately calibrate the model-independent effects of
diffusion ... | 9609079v1 |
1997-09-16 | Lyman-alpha emission as a tool to study high redshift damped systems | We report a quantitative study of the escape of Lyman-alpha photons from an
inhomogeneous optically thick medium that mimics the structure of damped
Lyman-alpha absorbers. Modeling the optically thick disk with 3 components
(massive stars and HII regions, dust, and neutral hydrogen), we study the
resulting emission lin... | 9709150v1 |
1997-10-17 | The chemical evolution of galaxies causing damped Ly$α$ absorption | We have compiled all available data on chemical abundances in damped Lyman
alpha absorption systems for comparison with results from our combined chemical
and spectrophotometric galaxy evolution models. Preliminary results from
chemically consistent calculations are in agreement with observations of damped
Ly$\alpha$ s... | 9710193v1 |
1998-01-26 | Are Damped Lyman alpha Systems Rotating Disks ? | We report on high spectral resolution observations of five damped Lyman alpha
systems whose line velocity profiles and abundances are analyzed. By combining
these data with information from the literature, we study the kinematics of the
low and high ionization phases of damped systems and discuss the possibility
that p... | 9801243v1 |
2001-10-29 | Damping of inhomogeneities in neutralino dark matter | The lightest supersymmetric particle, most likely the neutralino, might
account for a large fraction of dark matter in the Universe. We show that the
primordial spectrum of density fluctuations in neutralino cold dark matter
(CDM) has a sharp cut-off due to two damping mechanisms: collisional damping
during the kinetic... | 0110601v1 |
2002-08-03 | Adiabatic Index of Dense Matter and Damping of Neutron Star Pulsations | The adiabatic index Gamma_1 for perturbations of dense matter is studied
under various physical conditions which can prevail in neutron star cores. The
dependence of Gamma_1 on the composition of matter (in particular, on the
presence of hyperons), on the stellar pulsation amplitude, and on the baryon
superfluidity is ... | 0208078v1 |
2003-01-07 | Damping of Neutron Star Shear Modes by Superfluid Friction | The forced motion of superfluid vortices in shear oscillations of rotating
solid neutron star matter produces damping of the mode. A simple model of the
unpinning and repinning processes is described, with numerical calculations of
the consequent energy decay times. These are of the order of 1 s or more for
typical ano... | 0301112v1 |
2005-04-25 | Radiative Effect on Particle Acceleration via Relativistic Electromagnetic Expansion | The radiation damping effect on the diamagnetic relativistic pulse
accelerator (DRPA) is studied in two-and-half dimensional Particle-in-Cell
(PIC) simulation with magnetized electron-positron plasmas. Self-consistently
solved radiation damping force converts particle energy to radiation energy.
The DRPA is still robus... | 0504561v1 |
1999-05-06 | Collective and chaotic motion in self-bound many-body systems | We investigate the interplay of collective and chaotic motion in a classical
self-bound N-body system with two-body interactions. This system displays a
hierarchy of three well separated time scales that govern the onset of chaos,
damping of collective motion and equilibration. Comparison with a mean-field
problem show... | 9905007v2 |
1997-05-12 | Damping of Oscillations in Layer-by-Layer Growth | We present a theory for the damping of layer-by-layer growth oscillations in
molecular beam epitaxy. The surface becomes rough on distances larger than a
layer coherence length which is substantially larger than the diffusion length.
The damping time can be calculated by a comparison of the competing roughening
and smo... | 9705100v1 |
1999-09-17 | Thermoelastic Damping in Micro- and Nano-Mechanical Systems | The importance of thermoelastic damping as a fundamental dissipation
mechanism for small-scale mechanical resonators is evaluated in light of recent
efforts to design high-Q micrometer- and nanometer-scale electro-mechanical
systems (MEMS and NEMS). The equations of linear thermoelasticity are used to
give a simple der... | 9909271v1 |
2000-10-01 | Super-Radiance and the Unstable Photon Oscillator | If the damping of a simple harmonic oscillator from a thermally random force
is sufficiently strong, then the oscillator may become unstable. For a photon
oscillator (radiatively damped by electric dipole moments), the instability
leads to a low temperature Hepp-Lieb-Preparata super-radiant phase transition.
The stable... | 0010013v1 |
2001-08-07 | Non-damped Acoustic Plasmon and Superconductivity in Single Wall Carbon Nanotubes | We show that non-damped acoustic plasmons exist in single wall carbon
nanotubes (SWCNT) and propose that the non-damped acoustic plasmons may mediate
electron-electron attraction and result in superconductivity in the SWCNT. The
superconducting transition temperature Tc for the SWCNT (3,3) obtained by this
mechanism ag... | 0108124v2 |
2001-12-16 | The Damping of the Bose-Condensate Oscillations in a Trap at Zero Temperature | We discuss an existence of the damping for the radial condensate oscillations
in a cylindric trap at zero temperature. The damping is a result of the
parametric resonance leading to energy transfer from the coherent condensate
oscillations to the longitudinal sound waves within a finite frequency
interval. The parametr... | 0112292v1 |
2002-06-13 | Beliaev damping of quasi-particles in a Bose-Einstein condensate | We report a measurement of the suppression of collisions of quasi-particles
with ground state atoms within a Bose-Einstein condensate at low momentum.
These collisions correspond to Beliaev damping of the excitations, in the
previously unexplored regime of the continuous quasi-particle energy spectrum.
We use a hydrody... | 0206234v1 |
2002-06-28 | Accidental suppression of Landau damping of the transverse breathing mode in elongated Bose-Einstein condensates | We study transverse radial oscillations of an elongated Bose-Einstein
condensate using finite temperature simulations, in the context of a recent
experiment at ENS. We demonstrate the existence of a mode corresponding to an
in-phase collective oscillation of both the condensate and thermal cloud.
Excitation of this mod... | 0206582v1 |
2005-03-03 | Collapse of thermal activation in moderately damped Josephson junctions | We study switching current statistics in different moderately damped
Josephson junctions: a paradoxical collapse of the thermal activation with
increasing temperature is reported and explained by interplay of two
conflicting consequences of thermal fluctuations, which can both assist in
premature escape and help in ret... | 0503067v1 |
2006-03-13 | Universal features of the defect-induced damping of lattice vibrations | It is shown that any defect gives an Ohmic contribution to the damping of any
normal mode of the crystal lattice with nonzero wavevector which does not
vanish at zero temperature. This explains the large phason damping observed at
low temperatures in incommensurate phases, and might be a key factor to
understand the li... | 0603343v2 |
2006-04-25 | Spin Precession and Avalanches | In many magnetic materials, spin dynamics at short times are dominated by
precessional motion as damping is relatively small. In the limit of no damping
and no thermal noise, we show that for a large enough initial instability, an
avalanche can transition to an ergodic phase where the state is equivalent to
one at fini... | 0604563v1 |
2007-02-11 | Non-Markovian coherence dynamics of driven spin boson model: damped quantum beat or large amplitude coherence oscillation | The dynamics of driven spin boson model is studied analytically by means of
the perturbation approach based on a unitary transformation. We gave the
analytical expression for the population difference and coherence of the two
level system. The results show that in the weak driven case, the population
difference present... | 0702268v1 |
2006-05-01 | Stability and quasinormal modes of the massive scalar field around Kerr black holes | We find quasinormal spectrum of the massive scalar field in the background of
the Kerr black holes. We show that all found modes are damped under the
quasinormal modes boundary conditions when $\mu M$ is not large, thereby
implying stability of the massive scalar field. This complements the region of
stability determin... | 0605013v1 |
1992-04-06 | Comment on ``High Temperature Fermion Propagator -- Resummation and Gauge Dependence of the Damping Rate'' | Baier et al. have reported the damping rate of long-wavelength fermionic
excitations in high-temperature QED and QCD to be gauge-fixing-dependent even
within the resummation scheme due to Braaten and Pisarski. It is shown that
this problem is caused by the singular nature of the on-shell expansion of the
fermion self-e... | 9204210v1 |
1993-02-09 | Damping rates for moving particles in hot QCD | Using a program of perturbative resummation I compute the damping rates for
fields at nonzero spatial momentum to leading order in weak coupling in hot
$QCD$. Sum rules for spectral densities are used to simplify the calculations.
For massless fields the damping rate has an apparent logarithmic divergence in
the infrar... | 9302242v1 |
1994-04-21 | Is \lq\lq Heavy Quark Damping Rate Puzzle'' in Hot QCD Really the Puzzle? | Within the framework of perturbative resummation scheme of Pisarski and
Braaten, the decay- or damping-rate of a moving heavy quark (muon) to leading
order in weak coupling in hot QCD (QED) is examined. Although, as is well
known, the conventionally-defined damping rate diverges logarithmically at the
infrared limit, s... | 9404318v1 |
1996-01-12 | Damping Rate of a Scalar Particle in Hot Scalar QED | In contrast to the damping of partons in a quark-gluon plasma, the damping of
a scalar particle in a hot scalar QED plasma can be calculated to leading order
for the whole momentum range using the Braaten-Pisarski method. In this way the
evolution of the logarithmic infrared singularity caused by the exchange of a
tran... | 9601254v1 |
1996-09-17 | Damping Rate of Quasiparticles in Degenerate Ultrarelativistic Plasmas | We compute the damping rate of a fermion in a dense relativistic plasma at
zero temperature. Just above the Fermi sea, the damping rate is dominated by
the exchange of soft magnetic photons (or gluons in QCD) and is proportional to
$(E-\mu)$, where E is the fermion energy and $\mu$ the chemical potential. We
also compu... | 9609369v1 |
1997-05-28 | Classical Statistical Mechanics and Landau Damping | We study the retarded response function in scalar $\phi^4$-theory at finite
temperature. We find that in the high-temperature limit the imaginary part of
the self-energy is given by the classical theory to leading order in the
coupling. In particular the plasmon damping rate is a purely classical effect
to leading orde... | 9705452v1 |
1997-12-01 | A potential infrared problem with the damping rates for gluons with soft momentum in hot QCD | We calculate the damping rate $\gamma_l$ for longitudinal gluons with zero
momentum in finite high temperature QCD and show that some of its contributing
terms are infrared divergent. This is in contrast with the expectation that
this damping rate is to be equal to the corresponding one $\gamma_t$ for
transverse gluons... | 9712210v1 |
1998-04-21 | The Plasmon Damping Rate for T -> T_C | The plasmon damping rate in scalar field theory is computed close to the
critical temperature. It is shown that the divergent result obtained in
perturbation theory is a consequence of neglecting the thermal renormalization
of the coupling. Taking this effect into account, a vanishing damping rate is
obtained, leading ... | 9804351v2 |
1998-10-06 | Self-consistent Study on Color Transport in the Quark Gluon Plasma at Finite Chemical Potential | We calculate the relaxation time self-consistently to study the damping of
collective color modes and the color conductivity in a QGP by deriving
self-consistent equations for the damping rates of gluons and quarks to leading
order QCD by TFD including a chemical potential for quarks. We show that the
damping rates are... | 9810256v1 |
1999-02-19 | The problem of nonlinear Landau damping in quark-gluon plasma | On the basis of the semiclassical equations for quark-gluon plasma (QGP) and
Yang-Mills equation, the generalized kinetic equation for waves with regard to
its interaction is obtained. The physical mechanisms defining nonlinear
scattering of a plasmon by QGP particles are analysed. The problem on a
connection of nonlin... | 9902397v2 |
1999-07-21 | A Slavnov-Taylor identity and equality of damping rates for static transverse and longitudinal gluons in hot QCD | A Slavnov-Taylor identity is derived for the gluon polarization tensor in hot
QCD. We evaluate its implications for damping of gluonic modes in the plasma.
Applying the identity to next to the leading order in hard-thermal-loop
resummed perturbation theory, we derive the expected equality of damping rates
for static tr... | 9907439v1 |
2000-09-15 | Fermion Damping Rate Effects in Cold Dense Matter | We review the non-Fermi or marginal liquid behavior of a relativistic QED
plasma. In this medium a quasiparticle has a damping rate that depends linearly
on the distance between its energy and the Fermi surface. We stress that this
dependence is due to the long-range character of the magnetic interactions in
the medium... | 0009182v1 |
2001-07-19 | Photon Damping Caused by Electron-Positron Pair Production in a Strong Magnetic Field | Damping of an electromagnetic wave in a strong magnetic field is analyzed in
the kinematic region near the threshold of electron-positron pair production.
Damping of the electromagnetic field is shown to be noticeably nonexponential
in this region. The resulting width of the photon $\gamma \to e^+ e^-$ decay is
conside... | 0107217v1 |
2004-09-27 | Damping of electromagnetic waves due to electron-positron pair production | The problem of the backreaction during the process of electron-positron pair
production by a circularly polarized electromagnetic wave propagating in a
plasma is investigated. A model based on the relativistic Boltzmann-Vlasov
equation with a source term corresponding to the Schwinger formula for the pair
creation rate... | 0409301v1 |
2005-10-25 | Infrared behavior of the dispersion relations in high-temperature scalar QED | We investigate the infrared properties of the next-to-leading-order
dispersion relations in scalar quantum electrodynamics at high temperature in
the context of hard-thermal-loop perturbation theory. Specifically, we
determine the damping rate and the energy for scalars with ultrasoft momenta.
We show by explicit calcu... | 0510330v1 |
2006-11-09 | Lepton asymmetry in the primordial gravitational wave spectrum | Effects of neutrino free streaming is evaluated on the primordial spectrum of
gravitational radiation taking both neutrino chemical potential and masses into
account. The former or the lepton asymmetry induces two competitive effects,
namely, to increase anisotropic pressure, which damps the gravitational wave
more, an... | 0611121v1 |
2005-03-17 | A New Approach to Canonical Quantization of the Radiation Damping | Inspired in some works about quantization of dissipative systems, in
particular of the damped harmonic oscillator\cite{MB,RB,12}, we consider the
dissipative system of a charge interacting with its own radiation, which
originates the radiation damping (RD). Using the indirect Lagrangian
representation we obtained a Lag... | 0503135v1 |
2004-06-02 | Instability results for the damped wave equation in unbounded domains | We extend some previous results for the damped wave equation in bounded
domains in Euclidean spaces to the unbounded case. In particular, we show that
if the damping term is of the form $\alpha a$ with bounded $a$ taking on
negative values on a set of positive measure, then there will always exist
unbounded solutions f... | 0406041v1 |
2002-12-11 | Rotational Damping and Compound Formation in Warm Rotating Nuclei | The rotational damping width \Gamma_{rot} and the compound damping width
\Gamma_{comp} are two fundamental quantities that characterize rapidly rotating
compound nuclei having finite thermal excitation energy. A two-component
structure in the strength function of consecutive E2 transitions reflects the
two widths, and ... | 0212050v1 |
2003-07-27 | Chaos and rotational damping in particle-rotor model | The onset of chaos and the mechanism of rotational damping are studied in an
exactly soluble particle-rotor model. It is shown that the degree of chaoticity
as inferred from the statistical measures is closely related to the onset of
rotational damping obtained using the model Hamiltonian. | 0307104v2 |
1997-07-10 | Supersymmetric partner chirping of Newtonian free damping | We connect the classical free damping cases by means of Rosner's construction
in supersymmetric quantum mechanics. Starting with the critical damping, one
can obtain in the underdamping case a chirping of instantaneous physical
frequency \omega ^{2}(t) \propto \omega_{u}^{2}sech^2(\omega_{u}t), whereas in
the overdampe... | 9707012v4 |
2000-04-10 | Ermakov-Lewis angles for one-parameter supersymmetric families of Newtonian free damping modes | We apply the Ermakov-Lewis procedure to the one-parameter damped modes
\tilde{y} recently introduced by Rosu and Reyes, which are related to the
common Newtonian free damping modes y by the general Riccati solution [H.C.
Rosu and M. Reyes, Phys. Rev. E 57, 4850 (1998), physics/9707019]. In
particular, we calculate and ... | 0004014v4 |
2002-10-29 | Model of Internal Friction Damping in Solids | A model for harmonic oscillator damping due to the internal friction of
solids has been developed, based on considerations of a long period pendulum.
The assumption of a complex elastic modulus to describe stress-strain
hysteresis in the support structure of the pendulum yields an expression for
the figure of merit Q t... | 0210121v1 |
2003-06-11 | Nonlinear Damping of the 'Linear' Pendulum | This study shows that typical pendulum dynamics is far from the simple
equation of motion presented in textbooks. A reasonably complete damping model
must use nonlinear terms in addition to the common linear viscous expression.
In some cases a nonlinear substitute for assumed linear damping may be more
appropriate. Eve... | 0306081v1 |
2003-07-02 | Harmonic Oscillator Potential to describe Internal Dissipation | Assuming that a constant potential energy function has meaning for a
dissipated harmonic oscillator, then an important issue is the time dependence
of the turning points. Turning point studies demonstrate that the common model
of external (viscous) damping fails to properly describe those many systems
where structural ... | 0307016v1 |
2004-08-19 | Beyond the Linear Damping Model for Mechanical Harmonic Oscillators | The steady state motion of a folded pendulum has been studied using
frequencies of drive that are mainly below the natural (resonance) frequency of
the instrument. Although the free-decay of this mechanical oscillator appears
textbook exponential, the steady state behavior of the instrument for
sub-resonance drive can ... | 0408091v1 |
1998-01-28 | Phenomenological damping in trapped atomic Bose-Einstein condensates | The method of phenomenological damping developed by Pitaevskii for
superfluidity near the $\lambda$ point is simulated numerically for the case of
a dilute, alkali, inhomogeneous Bose-condensed gas near absolute zero. We study
several features of this method in describing the damping of excitations in a
Bose-Einstein c... | 9801064v1 |
1998-04-06 | Optimal quantum codes for preventing collective amplitude damping | Collective decoherence is possible if the departure between quantum bits is
smaller than the effective wave length of the noise field. Collectivity in the
decoherence helps us to devise more efficient quantum codes. We present a class
of optimal quantum codes for preventing collective amplitude damping to a
reservoir a... | 9804014v1 |
2000-01-12 | Antibunching effect of the radiation field in a microcavity with a mirror undergoing heavily damping oscillation | The interaction between the radiation field in a microcavity with a mirror
undergoing damping oscillation is investigated. Under the heavily damping
cases, the mirror variables are adiabatically eliminated.
The the stationary conditions of the system are discussed. The small
fluctuation approximation around steady va... | 0001036v1 |
2000-03-29 | Disagreement between correlations of quantum mechanics and stochastic electrodynamics in the damped parametric oscillator | Intracavity and external third order correlations in the damped nondegenerate
parametric oscillator are calculated for quantum mechanics and stochastic
electrodynamics (SED), a semiclassical theory. The two theories yield greatly
different results, with the correlations of quantum mechanics being cubic in
the system's ... | 0003131v1 |
2002-02-15 | Decoherence of Quantum Damped Oscillators | Quantum dissipation is studied within two model oscillators, the
Caldirola-Kanai (CK) oscillator as an open system with one degree of freedom
and the Bateman-Feshbach-Tikochinsky (BFT) oscillator as a closed system with
two degrees of freedom. Though these oscillators describe the same classical
damped motion, the CK o... | 0202089v1 |
2002-12-05 | Time correlated quantum amplitude damping channel | We analyze the problem of sending classical information through qubit
channels where successive uses of the channel are correlated. This work extends
the analysis of C. Macchiavello and G. M. Palma to the case of a non-Pauli
channel - the amplitude damping channel. Using the channel description outlined
in S. Daffer, e... | 0212032v1 |
2005-06-01 | Quantum damped oscillator I: dissipation and resonances | Quantization of a damped harmonic oscillator leads to so called Bateman's
dual system. The corresponding Bateman's Hamiltonian, being a self-adjoint
operator, displays the discrete family of complex eigenvalues. We show that
they correspond to the poles of energy eigenvectors and the corresponding
resolvent operator wh... | 0506007v1 |
2005-10-19 | The damped harmonic oscillator in deformation quantization | We propose a new approach to the quantization of the damped harmonic
oscillator in the framework of deformation quantization. The quantization is
performed in the Schr\"{o}dinger picture by a star-product induced by a
modified "Poisson bracket". We determine the eigenstates in the damped regime
and compute the transiti... | 0510150v1 |
2006-04-28 | The characteristic function of optical evolution | The master equation of quantum optical density operator is transformed to the
equation of characteristic function. The parametric amplification and amplitude
damping as well as the phase damping are considered. The solution for the most
general initial quantum state is obtained for parametric amplification and
amplitud... | 0604208v4 |
2007-01-13 | Wave-particle duality in the damped harmonic oscillator | Quantization of the damped harmonic oscillator is taken as leitmotiv to
gently introduce elements of quantum probability theory for physicists. To this
end, we take (graduate) students in physics as entry level and explain the
physical intuition and motivation behind the, sometimes overwhelming, math
machinery of quant... | 0701082v1 |
2007-04-11 | Time dependence of joint entropy of oscillating quantum systems | The time dependent entropy (or Leipnik's entropy) of harmonic and damped
harmonic oscillators is extensively investigated by using time dependent wave
function obtained by the Feynman path integral method. Our results for simple
harmonic oscillator are in agrement with the literature. However, the joint
entropy of damp... | 0704.1370v3 |
2007-06-30 | The squeezed generalized amplitude damping channel | Squeezing of a thermal bath introduces new features absent in an open quantum
system interacting with an uncorrelated (zero squeezing) thermal bath. The
resulting dynamics, governed by a Lindblad-type evolution, extends the concept
of a generalized amplitude damping channel, which corresponds to a dissipative
interacti... | 0707.0059v2 |
2007-07-09 | Memory in a nonlocally damped oscillator | We analyze the new equation of motion for the damped oscillator. It differs
from the standard one by a damping term which is nonlocal in time and hence it
gives rise to a system with memory. Both classical and quantum analysis is
performed. The characteristic feature of this nonlocal system is that it breaks
local comp... | 0707.1199v2 |
2007-07-20 | Dynamics of Bloch Oscillations in Disordered Lattice Potentials | We present a detailed analysis of the dynamics of Bloch oscillations of
Bose-Einstein condensates in disordered lattice potentials. Due to the disorder
and the interparticle interactions these oscillations undergo a dephasing,
reflected in a damping of the center of mass oscillations, which should be
observable under r... | 0707.3131v1 |
2007-09-14 | Damping of field-induced chemical potential oscillations in ideal two-band compensated metals | The field and temperature dependence of the de Haas-van Alphen oscillations
spectrum is studied for an ideal two-dimensional compensated metal. It is shown
that the chemical potential oscillations, involved in the frequency
combinations observed in the case of uncompensated orbits, are strongly damped
and can even be s... | 0709.2223v2 |
2007-09-14 | Update on Ion Studies | The effect of ions has received one of the highest priorities in R&D for the
damping rings of the International Linear Collider(ILC). It is detrimental to
the performance of the electron damping ring. In this note, an update
concerning the ion studies for the ILC damping ring is given. We investigate
the gap role and i... | 0709.2248v1 |
2007-10-03 | Stability of a Nonlinear Axially Moving String With the Kelvin-Voigt Damping | In this paper, a nonlinear axially moving string with the Kelvin-Voigt
damping is considered. It is proved that the string is stable, i.e., its
transversal displacement converges to zero when the axial speed of the string
is less than a certain critical value. The proof is established by showing that
a Lyapunov functio... | 0710.0872v1 |
2007-10-15 | General Solution of the Quantum Damped Harmonic Oscillator | In this paper the general solution of the quantum damped harmonic oscillator
is given. | 0710.2724v4 |
2008-02-21 | Identification of Test Structures for Reduced Order Modeling of the Squeeze Film Damping in Mems | In this study the dynamic behaviour of perforated microplates oscillating
under the effect of squeeze film damping is analyzed. A numerical approach is
adopted to predict the effects of damping and stiffness transferred from the
surrounding ambient air to oscillating structures ; the effect of hole's cross
section and ... | 0802.3076v1 |
2008-03-14 | Current-induced noise and damping in non-uniform ferromagnets | In the presence of spatial variation of the magnetization direction, electric
current noise causes a fluctuating spin-transfer torque that increases the
fluctuations of the ferromagnetic order parameter. By the
fluctuation-dissipation theorem, the equilibrium fluctuations are related to
the magnetization damping, which... | 0803.2175v1 |
2008-04-23 | Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics | We investigate the dispersion relation and Landau damping of ion acoustic
waves in the collisionless magnetic-field-free plasma if it is described by the
nonextensive q-distributions of Tsallis statistics. We show that the increased
numbers of superthermal particles and low velocity particles can explain the
strengthen... | 0804.3732v1 |
2008-07-23 | Tunneling-induced damping of phase coherence revivals in deep optical lattices | We consider phase coherence collapse and revival in deep optical lattices,
and calculate within the Bose-Hubbard model the revival amplitude damping
incurred by a finite tunneling coupling of the lattice wells (after sweeping
from the superfluid to the Mott phase). Deriving scaling laws for the
corresponding decay of f... | 0807.3627v2 |
2008-07-31 | Generalized Theory of Landau Damping | Collisionless damping of electrical waves in plasma is investigated in the
frame of the classical formulation of the problem. The new principle of
regularization of the singular integral is used. The exact solution of the
corresponding dispersion equation is obtained. The results of calculations lead
to existence of di... | 0807.5007v1 |
2008-08-05 | Radiation damping, noncommutativity and duality | In this work, our main objective is to construct a N=2 supersymmetric
extension of the nonrelativistic $(2+1)$-dimensional model describing the
radiation damping on the noncommutative plane with scalar (electric) and vector
(magnetic) interactions by the N=2 superfield technique. We also introduce a
dual equivalent act... | 0808.0694v2 |
2008-10-06 | Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions | In this paper we consider a multi-dimensional damped semiliear wave equation
with dynamic boundary conditions, related to the Kelvin-Voigt damping. We
firstly prove the local existence by using the Faedo-Galerkin approximations
combined with a contraction mapping theorem. Secondly, the exponential growth
of the energy ... | 0810.1013v1 |
2008-11-20 | An explanation for the pseudogap of high-temperature superconductors based on quantum optics | We first explain the pseudogap of high-temperature superconductivity based on
an approach of quantum optics. After introducing a damping factor for the
lifetime $\tau$ of quasiparticles, the superconducting dome is naturally
produced, and the pseudogap is the consequence of pairing with damped
coherence. We derive a ne... | 0811.3262v1 |
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