publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2020-02-27 | Ultrafast magnetization dynamics in half-metallic Co$_2$FeAl Heusler alloy | We report on optically induced, ultrafast magnetization dynamics in the
Heusler alloy $\mathrm{Co_{2}FeAl}$, probed by time-resolved magneto-optical
Kerr effect. Experimental results are compared to results from electronic
structure theory and atomistic spin-dynamics simulations. Experimentally, we
find that the demagn... | 2002.12255v1 |
2020-06-05 | Controlling the nonlinear relaxation of quantized propagating magnons in nanodevices | Relaxation of linear magnetization dynamics is well described by the viscous
Gilbert damping processes. However, for strong excitations, nonlinear damping
processes such as the decay via magnon-magnon interactions emerge and trigger
additional relaxation channels. Here, we use space- and time-resolved
microfocused Bril... | 2006.03400v2 |
2021-05-16 | Anatomy of inertial magnons in ferromagnets | We analyze dispersion relations of magnons in ferromagnetic nanostructures
with uniaxial anisotropy taking into account inertial terms, i.e. magnetic
nutation. Inertial effects are parametrized by damping-independent parameter
$\beta$, which allows for an unambiguous discrimination of inertial effects
from Gilbert damp... | 2105.07376v1 |
2021-11-16 | Ultrathin ferrimagnetic GdFeCo films with very low damping | Ferromagnetic materials dominate as the magnetically active element in
spintronic devices, but come with drawbacks such as large stray fields, and low
operational frequencies. Compensated ferrimagnets provide an alternative as
they combine the ultrafast magnetization dynamics of antiferromagnets with a
ferromagnet-like... | 2111.08768v1 |
2021-11-30 | First and second order magnetic anisotropy and damping of europium iron garnet under high strain | Understanding and tailoring static and dynamic properties of magnetic
insulator thin films is important for spintronic device applications. Here, we
grow atomically flat epitaxial europium iron garnet (EuIG) thin films by pulsed
laser deposition on (111)-oriented garnet substrates with a range of lattice
parameters. By... | 2111.15142v1 |
2022-10-01 | Nonlinear features of the superconductor--ferromagnet--superconductor $\varphi_0$ Josephson junction in ferromagnetic resonance region | We demonstrate the manifestations of the nonlinear features in magnetic
dynamics and IV-characteristics of the $\varphi_0$ Josephson junction in the
ferromagnetic resonance region. We show that at small values of system
parameters, namely, damping, spin-orbit interaction, and Josephson to magnetic
energy ratio, the mag... | 2210.00366v1 |
2023-12-16 | Spin-torque nano-oscillator based on two in-plane magnetized synthetic ferrimagnets | We report the dynamic characterization of the spin-torque-driven in-plane
precession modes of a spin-torque nano-oscillator based on two different
synthetic ferrimagnets: a pinned one characterized by a strong RKKY interaction
which is exchange coupled to an antiferromagnetic layer; and a second one,
non-pinned charact... | 2312.10451v2 |
2020-10-02 | Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: Regularity and error analysis | Stochastic PDE eigenvalue problems are useful models for quantifying the
uncertainty in several applications from the physical sciences and engineering,
e.g., structural vibration analysis, the criticality of a nuclear reactor or
photonic crystal structures. In this paper we present a multilevel quasi-Monte
Carlo (MLQM... | 2010.01044v4 |
2021-03-05 | Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: Efficient algorithms and numerical results | Stochastic PDE eigenvalue problems often arise in the field of uncertainty
quantification, whereby one seeks to quantify the uncertainty in an eigenvalue,
or its eigenfunction. In this paper we present an efficient multilevel
quasi-Monte Carlo (MLQMC) algorithm for computing the expectation of the
smallest eigenvalue o... | 2103.03407v3 |
2014-08-15 | Linear hyperbolic equations with time-dependent propagation speed and strong damping | We consider a second order linear equation with a time-dependent coefficient
c(t) in front of the "elastic" operator. For these equations it is well-known
that a higher space-regularity of initial data compensates a lower
time-regularity of c(t).
In this paper we investigate the influence of a strong dissipation, nam... | 1408.3499v1 |
2019-10-24 | Topological damping Rashba spin orbit torque in ballistic magnetic domain walls | Rashba spin orbit torque derived from the broken inversion symmetry at
ferromagnet/heavy metal interfaces has potential application in spintronic
devices. In conventional description of the precessional and damping components
of the Rashba spin orbit torque in magnetization textures, the decomposition
coefficients are ... | 1910.10977v2 |
2023-10-14 | Exploring Damping Effect of Inner Control Loops for Grid-Forming VSCs | This paper presents an analytical approach to explore the damping effect of
inner loops on grid-forming converters. First, an impedance model is proposed
to characterize the behaviors of inner loops, thereby illustrating their
influence on output impedance shaping. Then, based on the impedance
representation, the compl... | 2310.09660v1 |
2003-01-30 | Dynamic effects of electromagnetic wave on a damped two-level atom | We studied the dynamic effects of an electromagnetic(EM) wave with circular
polarization on a two-level damped atom. The results demonstrate interesting ac
Stark split of energy levels of damped atom. The split levels have different
energies and lifetimes, both of which depend on the interaction and the damping
rate of... | 0301166v1 |
2014-03-13 | The best decay rate of the damped plate equation in a square | In this paper we study the best decay rate of the solutions of a damped plate
equation in a square and with a homogeneous Dirichlet boundary conditions. We
show that the fastest decay rate is given by the supremum of the real part of
the spectrum of the infinitesimal generator of the underlying semigroup, if the
dampin... | 1403.3199v1 |
2015-02-16 | Role of nonlinear anisotropic damping in the magnetization dynamics of topological solitons | The consequences of nonlinear anisotropic damping, driven by the presence of
Rashba spin-orbit coupling in thin ferromagnetic metals, are examined for the
dynamics of topological magnetic solitons such as domain walls, vortices, and
skyrmions. The damping is found to affect Bloch and N\'eel walls differently in
the ste... | 1502.04695v2 |
2016-05-29 | Damped Infinite Energy Solutions of the 3D Euler and Boussinesq Equations | We revisit a family of infinite-energy solutions of the 3D incompressible
Euler equations proposed by Gibbon et al. [9] and shown to blowup in finite
time by Constantin [6]. By adding a damping term to the momentum equation we
examine how the damping coefficient can arrest this blowup. Further, we show
that similar inf... | 1605.08965v3 |
2016-06-14 | Anomalous Damping of a Micro-electro-mechanical Oscillator in Superfluid $^3$He-B | The mechanical resonance properties of a micro-electro-mechanical oscillator
with a gap of 1.25 $\mu$m was studied in superfluid $^3$He-B at various
pressures. The oscillator was driven in the linear damping regime where the
damping coefficient is independent of the oscillator velocity. The quality
factor of the oscill... | 1606.04483v2 |
2019-09-21 | Stability for coupled waves with locally disturbed Kelvin-Voigt damping | We consider a coupled wave system with partial Kelvin-Voigt damping in the
interval (-1,1), where one wave is dissipative and the other does not. When the
damping is effective in the whole domain (-1,1) it was proven in H.Portillo
Oquendo and P.Sanez Pacheco, optimal decay for coupled waves with Kelvin-voigt
damping, A... | 1909.09838v1 |
2020-06-30 | Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system | We consider an elastic/viscoelastic transmission problem for the Bresse
system with fully Dirichlet or Dirichlet-Neumann-Neumann boundary conditions.
The physical model consists of three wave equations coupled in certain pattern.
The system is damped directly or indirectly by global or local Kelvin-Voigt
damping. Actua... | 2006.16595v2 |
2021-12-13 | Cosmic ray streaming in the turbulent interstellar medium | We study the streaming instability of GeV$-100~$GeV cosmic rays (CRs) and its
damping in the turbulent interstellar medium (ISM). We find that the damping of
streaming instability is dominated by ion-neutral collisional damping in weakly
ionized molecular clouds, turbulent damping in the highly ionized warm medium,
and... | 2112.06941v2 |
2023-12-07 | Probing levitodynamics with multi-stochastic forces and the simple applications on the dark matter detection in optical levitation experiment | If the terrestrial environment is permeated by dark matter, the levitation
experiences damping forces and fluctuations attributed to dark matter. This
paper investigates levitodynamics with multiple stochastic forces, including
thermal drag, photon recoil, feedback, etc., assuming that all of these forces
adhere to the... | 2312.04202v2 |
2013-08-17 | Thickness and power dependence of the spin-pumping effect in Y3Fe5O12/Pt heterostructures measured by the inverse spin Hall effect | The dependence of the spin-pumping effect on the yttrium iron garnet
(Y3Fe5O12, YIG) thickness detected by the inverse spin Hall effect (ISHE) has
been investigated quantitatively. Due to the spin-pumping effect driven by the
magnetization precession in the ferrimagnetic insulator YIG film a
spin-polarized electron cur... | 1308.3787v1 |
2020-05-28 | Spintronics meets nonadiabatic molecular dynamics: Geometric spin torque and damping on noncollinear classical magnetism due to electronic open quantum system | We analyze a quantum-classical hybrid system of steadily precessing slow
classical localized magnetic moments, forming a head-to-head domain wall,
embedded into an open quantum system of fast nonequilibrium electrons. The
electrons reside within a metallic wire connected to macroscopic reservoirs.
The model captures th... | 2005.14153v2 |
2020-09-29 | Structural Phase Dependent Giant Interfacial Spin Transparency in W/CoFeB Thin Film Heterostructure | Pure spin current has transfigured the energy-efficient spintronic devices
and it has the salient characteristic of transport of the spin angular
momentum. Spin pumping is a potent method to generate pure spin current and for
its increased efficiency high effective spin-mixing conductance (Geff) and
interfacial spin tr... | 2009.14143v1 |
2023-12-31 | Molecular Hybridization Induced Antidamping and Sizable Enhanced Spin-to-Charge Conversion in Co20Fe60B20/$β$-W/C60 Heterostructures | Development of power efficient spintronics devices has been the compelling
need in the post-CMOS technology era. The effective tunability of
spin-orbit-coupling (SOC) in bulk and at the interfaces of hybrid materials
stacking is a prerequisite for scaling down the dimension and power consumption
of these devices. In th... | 2401.00486v1 |
2011-01-28 | Entanglement between two atoms in a damping Jaynes-Cummings model | The entanglement between two atoms in a damping Jaynes-Cummings model is
investigated with different decay coefficients of the atoms from the upper
level to other levels under detuning between the atomic frequency and the
quantized light field frequency. The results indicate that the larger the decay
coefficient is, th... | 1101.5522v1 |
2015-05-27 | Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation | In [2] we introduced a method combining together an observability inequality
and a spectral decomposition to get a logarithmic stability estimate for the
inverse problem of determining both the potential and the damping coefficient
in a dissipative wave equation from boundary measurements. The present work
deals with a... | 1505.07248v1 |
2021-05-20 | On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity | In this note, we derive a blow-up result for a semilinear generalized Tricomi
equation with damping and mass terms having time-dependent coefficients. We
consider these coefficients with critical decay rates. Due to this threshold
nature of the time-dependent coefficients (both for the damping and for the
mass), the mu... | 2105.09879v2 |
2021-07-11 | Space-time arithmetic quasi-periodic homogenization for damped wave equations | This paper is concerned with space-time homogenization problems for damped
wave equations with spatially periodic oscillating elliptic coefficients and
temporally (arithmetic) quasi-periodic oscillating viscosity coefficients. Main
results consist of a homogenization theorem, qualitative properties of
homogenized matri... | 2107.04966v1 |
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 |
2015-10-14 | 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 soluti... | 1510.03949v1 |
2017-08-24 | Nonlinear network dynamics for interconnected micro-grids | This paper deals with transient stability in interconnected micro-grids. The
main contribution involves i) robust classification of transient dynamics for
different intervals of the micro-grid parameters (synchronization, inertia, and
damping); ii) exploration of the analogies with consensus dynamics and bounds
on the ... | 1708.07296v1 |
2020-09-16 | Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback | In this paper we study a class of semilinear wave type equations with
viscoelastic damping and delay feedback with time variable coefficient. By
combining semigroup arguments, careful energy estimates and an iterative
approach we are able to prove, under suitable assumptions, a well-posedness
result and an exponential ... | 2009.07777v1 |
2022-12-04 | Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations | In this paper, we consider the inverse boundary problems of recovering the
time-dependent nonlinearity and damping term for a semilinear wave equation on
a Riemannian manifold. The Carleman estimate and the construction of Gaussian
beams together with the higher order linearization are respectively used to
derive the u... | 2212.01815v2 |
2022-10-08 | Recover all Coefficients in Second-Order Hyperbolic Equations from Finite Sets of Boundary Measurements | We consider the inverse hyperbolic problem of recovering all spatial
dependent coefficients, which are the wave speed, the damping coefficient,
potential coefficient and gradient coefficient, in a second-order hyperbolic
equation defined on an open bounded domain with smooth enough boundary. We show
that by appropriate... | 2210.03865v1 |
2002-04-25 | Statics and Fast Dynamics of Nanomagnets with Vortex Structure | Within the framework of the Landau-Lifshitz-Gilbert equation, using permalloy
parameters, we study the statics and dynamics of flat circular magnetic
nano-structures with an in-plane magnetic vortex configuration, putting
particular emphasis on the (planar) vorticity of the magnetic state and on the
(perpendicular) pol... | 0204541v3 |
2007-03-15 | Functional Keldysh Theory of Spin Torques | We present a microscopic treatment of current-induced torques and thermal
fluctuations in itinerant ferromagnets based on a functional formulation of the
Keldysh formalism. We find that the nonequilibrium magnetization dynamics is
governed by a stochastic Landau-Lifschitz-Gilbert equation with spin transfer
torques. We... | 0703414v2 |
2010-10-04 | Thermal fluctuation field for current-induced domain wall motion | Current-induced domain wall motion in magnetic nanowires is affected by
thermal fluctuation. In order to account for this effect, the
Landau-Lifshitz-Gilbert equation includes a thermal fluctuation field and
literature often utilizes the fluctuation-dissipation theorem to characterize
statistical properties of the ther... | 1010.0478v2 |
2015-06-03 | Antidamping spin-orbit torque driven by spin-flip reflection mechanism on the surface of a topological insulator: A time-dependent nonequilibrium Green function approach | Motivated by recent experiments observing spin-orbit torque (SOT) acting on
the magnetization $\vec{m}$ of a ferromagnetic (F) overlayer on the surface of
a three-dimensional topological insulator (TI), we investigate the origin of
the SOT and the magnetization dynamics in such systems. We predict that lateral
F/TI bil... | 1506.01303v3 |
2015-07-11 | Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects | It is crucially important to investigate effects of temperature on magnetic
properties such as critical phenomena, nucleation, pinning, domain wall motion,
coercivity, etc. The Landau-Lifshitz-Gilbert (LLG) equation has been applied
extensively to study dynamics of magnetic properties. Approaches of Langevin
noises hav... | 1507.03075v1 |
2017-01-12 | Dynamic coupling of ferromagnets via spin Hall magnetoresistance | The synchronized magnetization dynamics in ferromagnets on a nonmagnetic
heavy metal caused by the spin Hall effect is investigated theoretically. The
direct and inverse spin Hall effects near the ferromagnetic/nonmagnetic
interface generate longitudinal and transverse electric currents. The
phenomenon is known as the ... | 1701.03201v2 |
2018-10-16 | Superfluid spin transport in ferro- and antiferromagnets | This paper focuses on spin superfluid transport, observation of which was
recently reported in antiferromagnet Cr$_2$O$_3$ [Yuan et al., Sci. Adv. 4,
eaat1098 (2018)]. This paper analyzes the role of dissipation in transformation
of spin current injected with incoherent magnons to a superfluid spin current
near the int... | 1810.07020v4 |
2020-02-20 | Stoner-Wohlfarth switching of the condensate magnetization in a dipolar spinor gas and the metrology of excitation damping | We consider quasi-one-dimensional dipolar spinor Bose-Einstein condensates in
the homogeneous-local-spin-orientation approximation, that is with
unidirectional local magnetization. By analytically calculating the exact
effective dipole-dipole interaction, we derive a Landau-Lifshitz-Gilbert
equation for the dissipative... | 2002.08723v2 |
2022-06-20 | First-principles calculation of the parameters used by atomistic magnetic simulations | While the ground state of magnetic materials is in general well described on
the basis of spin density functional theory (SDFT), the theoretical description
of finite-temperature and non-equilibrium properties require an extension
beyond the standard SDFT. Time-dependent SDFT (TD-SDFT), which give for example
access to... | 2206.09969v1 |
2023-09-25 | Ultrafast Demagnetization through Femtosecond Generation of Non-thermal Magnons | Ultrafast laser excitation of ferromagnetic metals gives rise to correlated,
highly non-equilibrium dynamics of electrons, spins and lattice, which are,
however, poorly described by the widely-used three-temperature model (3TM).
Here, we develop a fully ab-initio parameterized out-of-equilibrium theory
based on a quant... | 2309.14167v3 |
2023-12-12 | Sliding Dynamics of Current-Driven Skyrmion Crystal and Helix in Chiral Magnets | The skyrmion crystal (SkX) and helix (HL) phases, present in typical chiral
magnets, can each be considered as forms of density waves but with distinct
topologies. The SkX exhibits gyrodynamics analogous to electrons under a
magnetic field, while the HL state resembles topological trivial spin density
waves. However, u... | 2312.07116v2 |
2007-01-08 | Coefficient of restitution for viscoelastic disks | The dissipative collision of two identical viscoelastic disks is studied. By
using a known law for the elastic part of the interaction force and the
viscoelastic damping model an analytical solution for the coefficient of
restitution shall be given. The coefficient of restitution depends
significantly on the impact vel... | 0701142v1 |
2008-02-29 | Heat conduction and Fourier's law in a class of many particle dispersing billiards | We consider the motion of many confined billiard balls in interaction and
discuss their transport and chaotic properties. In spite of the absence of mass
transport, due to confinement, energy transport can take place through binary
collisions between neighbouring particles. We explore the conditions under
which relaxat... | 0802.4455v3 |
2014-07-01 | Transport properties of Lévy walks: an analysis in terms of multistate processes | Continuous time random walks combining diffusive and ballistic regimes are
introduced to describe a class of L\'evy walks on lattices. By including
exponentially-distributed waiting times separating the successive jump events
of a walker, we are led to a description of such L\'evy walks in terms of
multistate processes... | 1407.0227v2 |
2015-01-21 | Lévy walks on lattices as multi-state processes | Continuous-time random walks combining diffusive scattering and ballistic
propagation on lattices model a class of L\'evy walks. The assumption that
transitions in the scattering phase occur with exponentially-distributed
waiting times leads to a description of the process in terms of multiple
states, whose distributio... | 1501.05216v1 |
2015-01-31 | Bases and Structure Constants of Generalized Splines with Integer Coefficients on Cycles | An integer generalized spline is a set of vertex labels on an edge-labeled
graph that satisfy the condition that if two vertices are joined by an edge,
the vertex labels are congruent modulo the edge label. Foundational work on
these objects comes from Gilbert, Polster, and Tymoczko, who generalize ideas
from geometry/... | 1502.00176v1 |
2019-05-31 | Characterizing the mod-$\ell$ local Langlands correspondence by nilpotent gamma factors | Let $F$ be a $p$-adic field and choose $k$ an algebraic closure of
$\mathbb{F}_{\ell}$, with $\ell$ different from $p$. We define ``nilpotent
lifts'' of irreducible generic $k$-representations of $GL_n(F)$, which take
coefficients in Artin local $k$-algebras. We show that an irreducible generic
$\ell$-modular represent... | 1905.13487v2 |
2020-01-31 | An efficient automated data analytics approach to large scale computational comparative linguistics | This research project aimed to overcome the challenge of analysing human
language relationships, facilitate the grouping of languages and formation of
genealogical relationship between them by developing automated comparison
techniques. Techniques were based on the phonetic representation of certain key
words and conce... | 2001.11899v1 |
2022-06-22 | Homogenization of the Landau-Lifshitz-Gilbert equation with natural boundary condition | The full Landau-Lifshitz-Gilbert equation with periodic material coefficients
and natural boundary condition is employed to model the magnetization dynamics
in composite ferromagnets. In this work, we establish the convergence between
the homogenized solution and the original solution via a Lax equivalence
theorem kind... | 2206.10948v1 |
2023-10-13 | Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics | The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe
magnetization dynamics. We develop a unified framework of the microscopic LLG
equation based on the nonequilibrium Green's function formalism. We present a
unified treatment for expressing the microscopic LLG equation in several
limiting cases, inclu... | 2310.08807v1 |
2004-04-19 | Nonlinear response of superparamagnets with finite damping: an analytical approach | The strongly damping-dependent nonlinear dynamical response of classical
superparamagnets is investigated by means of an analytical approach. Using
rigorous balance equations for the spin occupation numbers a simple approximate
expression is derived for the nonlinear susceptibility. The results are in good
agreement wi... | 0404445v1 |
2005-05-10 | Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes | We calculate analytically the highly damped quasinormal mode spectra of
generic single-horizon black holes using the rigorous WKB techniques of
Andersson and Howls\cite{Andersson}. We thereby provide a firm foundation for
previous analysis, and point out some of their possible limitations. The
numerical coefficient in ... | 0505044v1 |
2003-09-15 | Eigenfrequencies and expansions for damped wave equations | We study eigenfrequencies and propagator expansions for damped wave equations
on compact manifolds. Under the assumption of geometric control, the propagator
is shown to admit an expansion in terms of finitely many eigenmodes near the
real axis, with an error term exponentially decaying in time. In the presence
of a no... | 0309250v1 |
2010-03-08 | A single-ion nonlinear mechanical oscillator | We study the steady state motion of a single trapped ion oscillator driven to
the nonlinear regime. Damping is achieved via Doppler laser-cooling. The ion
motion is found to be well described by the Duffing oscillator model with an
additional nonlinear damping term. We demonstrate a unique ability of tuning
both the li... | 1003.1577v1 |
2012-02-24 | Small data global existence for the semilinear wave equation with space-time dependent damping | In this paper we consider the critical exponent problem for the semilinear
wave equation with space-time dependent damping. When the damping is effective,
it is expected that the critical exponent agrees with that of only space
dependent coefficient case. We shall prove that there exists a unique global
solution for sm... | 1202.5379v1 |
2012-03-21 | Approximate rogue wave solutions of the forced and damped Nonlinear Schrödinger equation for water waves | We consider the effect of the wind and the dissipation on the nonlinear
stages of the modulational instability. By applying a suitable transformation,
we map the forced/damped Nonlinear Schr\"odinger (NLS) equation into the
standard NLS with constant coefficients. The transformation is valid as long as
|{\Gamma}t| \ll ... | 1203.4735v1 |
2013-11-16 | Shear viscosity due to the Landau damping from quark-pion interaction | We have calculated the shear viscosity coefficient $\eta$ of the strongly
interacting matter in the relaxation time approximation, where a quasi particle
description of quarks with its dynamical mass is considered from NJL model. Due
to the thermodynamic scattering of quarks with pseudo scalar type condensate
(i.e. pio... | 1311.4070v1 |
2014-03-24 | Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations | In this paper we make a subtle use of operator theory techniques and the
well-known Schauder fixed-point principle to establish the existence of
pseudo-almost automorphic solutions to some second-order damped
integro-differential equations with pseudo-almost automorphic coefficients. In
order to illustrate our main res... | 1403.5955v1 |
2014-08-09 | Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions | We investigate the Westervelt equation with several versions of nonlinear
damping and lower order damping terms and Neumann as well as absorbing boundary
conditions. We prove local in time existence of weak solutions under the
assumption that the initial and boundary data are sufficiently small.
Additionally, we prove ... | 1408.2160v1 |
2015-03-03 | Large Deviations for the Langevin equation with strong damping | We study large deviations in the Langevin dynamics, with damping of order
$\e^{-1}$ and noise of order $1$, as $\e\downarrow 0$. The damping coefficient
is assumed to be state dependent. We proceed first with a change of time and
then, we use a weak convergence approach to large deviations and their
equivalent formulat... | 1503.01027v1 |
2017-06-15 | Fractional Driven Damped Oscillator | The resonances associated with a fractional damped oscillator which is driven
by an oscillatory external force are studied. It is shown that such resonances
can be manipulated by tuning up either the coefficient of the fractional
damping or the order of the corresponding fractional derivatives. | 1706.08596v1 |
2017-09-13 | Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping | This paper is concerned with the blowup phenomena for initial value problem
of semilinear wave equation with critical space-dependent damping term
(DW:$V$). The main result of the present paper is to give a solution of the
problem and to provide a sharp estimate for lifespan for such a solution when
$\frac{N}{N-1}<p\le... | 1709.04401v1 |
2018-06-08 | Brownian motion of magnetic domain walls and skyrmions, and their diffusion constants | Extended numerical simulations enable to ascertain the diffusive behavior at
finite temperatures of chiral walls and skyrmions in ultra-thin model Co layers
exhibiting symmetric - Heisenberg - as well as antisymmetric -
Dzyaloshinskii-Moriya - exchange interactions. The Brownian motion of walls and
skyrmions is shown t... | 1806.03172v1 |
2020-02-09 | Fujita modified exponent for scale invariant damped semilinear wave equations | The aim of this paper is to prove a blow up result of the solution for a
semilinear scale invariant damped wave equation under a suitable decay
condition on radial initial data. The admissible range for the power of the
nonlinear term depends both on the damping coefficient and on the pointwise
decay order of the initi... | 2002.03418v2 |
2020-05-24 | A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface | In this paper, we study the indirect stability of Timoshenko system with
local or global Kelvin-Voigt damping, under fully Dirichlet or mixed boundary
conditions. Unlike the results of H. L. Zhao, K. S. Liu, and C. G. Zhang and of
X. Tian and Q. Zhang, in this paper, we consider the Timoshenko system with
only one loca... | 2005.12756v1 |
2020-08-11 | An inverse spectral problem for a damped wave operator | This paper proposes a new and efficient numerical algorithm for recovering
the damping coefficient from the spectrum of a damped wave operator, which is a
classical Borg-Levinson inverse spectral problem. The algorithm is based on
inverting a sequence of trace formulas, which are deduced by a recursive
formula, bridgin... | 2008.04523v1 |
2020-08-18 | A class of Finite difference Methods for solving inhomogeneous damped wave equations | In this paper, a class of finite difference numerical techniques is presented
to solve the second-order linear inhomogeneous damped wave equation. The
consistency, stability, and convergences of these numerical schemes are
discussed. The results obtained are compared to the exact solution, ordinary
explicit, implicit f... | 2008.08043v2 |
2020-09-10 | Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime | We prove by using an iteration argument some blow-up results for a semilinear
damped wave equation in generalized Einstein-de Sitter spacetime with a
time-dependent coefficient for the damping term and power nonlinearity. Then,
we conjecture an expression for the critical exponent due to the main blow-up
results, which... | 2009.05372v1 |
2021-06-16 | Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations | The dependence of the fractal dimension of global attractors for the damped
3D Euler--Bardina equations on the regularization parameter $\alpha>0$ and
Ekman damping coefficient $\gamma>0$ is studied. We present explicit upper
bounds for this dimension for the case of the whole space, periodic boundary
conditions, and t... | 2106.09077v1 |
2022-03-12 | Stability for nonlinear wave motions damped by time-dependent frictions | We are concerned with the dynamical behavior of solutions to semilinear wave
systems with time-varying damping and nonconvex force potential. Our result
shows that the dynamical behavior of solution is asymptotically stable without
any bifurcation and chaos. And it is a sharp condition on the damping
coefficient for th... | 2203.06312v1 |
2022-06-07 | Decay property of solutions to the wave equation with space-dependent damping, absorbing nonlinearity, and polynomially decaying data | We study the large time behavior of solutions to the semilinear wave equation
with space-dependent damping and absorbing nonlinearity in the whole space or
exterior domains. Our result shows how the amplitude of the damping
coefficient, the power of the nonlinearity, and the decay rate of the initial
data at the spatia... | 2206.03218v2 |
2022-12-18 | Exponential decay of solutions of damped wave equations in one dimensional space in the $L^p$ framework for various boundary conditions | We establish the decay of the solutions of the damped wave equations in one
dimensional space for the Dirichlet, Neumann, and dynamic boundary conditions
where the damping coefficient is a function of space and time. The analysis is
based on the study of the corresponding hyperbolic systems associated with the
Riemann ... | 2212.09164v1 |
2023-05-03 | Lyapunov functions for linear damped wave equations in one-dimensional space with dynamic boundary conditions | We establish the exponential decay of the solutions of the damped wave
equations in one-dimensional space where the damping coefficient is a
nowhere-vanishing function of space. The considered PDE is associated with
several dynamic boundary conditions, also referred to as Wentzell/Ventzel
boundary conditions in the lit... | 2305.01969v2 |
2023-07-12 | Asymptotic behavior of solutions to the Cauchy problem for 1-D p-system with space dependent damping | We consider the Cauchy problem for one-dimensional p-system with damping of
space-dependent coefficient. This system models the compressible flow through
porous media in the Lagrangean coordinate. Our concern is an asymptotic
behavior of solutions, which is expected to be the diffusion wave based on the
Darcy law. To s... | 2307.05865v1 |
2023-07-12 | Parabolic-elliptic Keller-Segel's system | We study on the whole space R d the compressible Euler system with damping
coupled to the Poisson equation when the damping coefficient tends towards
infinity. We first prove a result of global existence for the Euler-Poisson
system in the case where the damping is large enough, then, in a second step,
we rigorously ju... | 2307.05981v1 |
2021-07-29 | Microscopic analysis of sound attenuation in low-temperature amorphous solids reveals quantitative importance of non-affine effects | Sound attenuation in low temperature amorphous solids originates from their
disordered structure. However, its detailed mechanism is still being debated.
Here we analyze sound attenuation starting directly from the microscopic
equations of motion. We derive an exact expression for the zero-temperature
sound damping coe... | 2107.14254v2 |
2023-10-29 | Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity | In this article we investigate the asymptotic profile of solutions for the
Cauchy problem of the nonlinear damped beam equation with two variable
coefficients: \[ \partial_t^2 u + b(t) \partial_t u - a(t) \partial_x^2 u +
\partial_x^4 u
= \partial_x \left( N(\partial_x u) \right). \] In the authors' previous
article ... | 2310.18878v1 |
2023-08-14 | Temperature Evolution of Magnon Propagation Length in Tm$_3$Fe$_5$O$_{12}$ Thin Films: Roles of Magnetic Anisotropy and Gilbert Damping | The magnon propagation length ($\langle\xi\rangle$) of a ferro/ferrimagnet
(FM) is one of the key factors that controls the generation and propagation of
thermally-driven spin current in FM/heavy metal (HM) bilayer based
spincaloritronic devices. Theory predicts that for the FM layer,
$\langle\xi\rangle$ is inversely p... | 2308.07236v3 |
2015-06-23 | The remarkable effectiveness of time-dependent damping terms for second order evolution equations | We consider a second order linear evolution equation with a dissipative term
multiplied by a time-dependent coefficient. Our aim is to design the
coefficient in such a way that all solutions decay in time as fast as possible.
We discover that constant coefficients do not achieve the goal, as well as
time-dependent co... | 1506.06915v1 |
2018-04-20 | A Weakly Nonlinear Model for the Damping of Resonantly Forced Density Waves in Dense Planetary Rings | In this paper we address the stability of resonantly forced density waves in
dense planetary rings.
Already by Goldreich & Tremaine (1978) it has been argued that density waves
might be unstable, depending on the relationship between the ring's viscosity
and the surface mass density.
In the recent paper Schmidt et ... | 1804.07674v1 |
2006-02-17 | Damped quantum harmonic oscillator | In the framework of the Lindblad theory for open quantum systems the damping
of the harmonic oscillator is studied. A generalization of the fundamental
constraints on quantum mechanical diffusion coefficients which appear in the
master equation for the damped quantum oscillator is presented; the
Schr\"odinger and Heise... | 0602149v1 |
2006-05-25 | Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics | In this paper, we reexamine the validity of using time quantified Monte Carlo
(TQMC) method [Phys. Rev. Lett. 84, 163 (2000); Phys. Rev. Lett. 96, 067208
(2006)] in simulating the stochastic dynamics of interacting magnetic
nanoparticles. The Fokker-Planck coefficients corresponding to both TQMC and
Langevin dynamical ... | 0605621v1 |
2000-07-10 | Fractal Dimensions of the Hydrodynamic Modes of Diffusion | We consider the time-dependent statistical distributions of diffusive
processes in relaxation to a stationary state for simple, two dimensional
chaotic models based upon random walks on a line. We show that the cumulative
functions of the hydrodynamic modes of diffusion form fractal curves in the
complex plane, with a ... | 0007008v1 |
2000-10-06 | The Fractality of the Hydrodynamic Modes of Diffusion | Transport by normal diffusion can be decomposed into the so-called
hydrodynamic modes which relax exponentially toward the equilibrium state. In
chaotic systems with two degrees of freedom, the fine scale structure of these
hydrodynamic modes is singular and fractal. We characterize them by their
Hausdorff dimension wh... | 0010017v1 |
1998-05-29 | Atom cooling and trapping by disorder | We demonstrate the possibility of three-dimensional cooling of neutral atoms
by illuminating them with two counterpropagating laser beams of mutually
orthogonal linear polarization, where one of the lasers is a speckle field,
i.e. a highly disordered but stationary coherent light field. This
configuration gives rise to... | 9805037v1 |
2014-08-11 | An optimal irrigation network with infinitely many branching points | The Gilbert-Steiner problem is a mass transportation problem, where the cost
of the transportation depends on the network used to move the mass and it is
proportional to a certain power of the "flow". In this paper, we introduce a
new formulation of the problem, which turns it into the minimization of a
convex function... | 1408.2406v1 |
2023-03-15 | Algebraic Geometry codes in the sum-rank metric | We introduce the first geometric construction of codes in the sum-rank
metric, which we called linearized Algebraic Geometry codes, using quotients of
the ring of Ore polynomials with coefficients in the function field of an
algebraic curve. We study the parameters of these codes and give lower bounds
for their dimensi... | 2303.08903v2 |
2023-05-31 | Codes from Goppa codes | On a Goppa code whose structure polynomial has coefficients in the symbol
field, the Frobenius acts. Its fixed codewords form a subcode. Deleting the
naturally occurred redundance, we obtain a new code. It is proved that these
new codes approach the Gilbert-Varshamov bound. It is also proved that these
codes can be dec... | 2305.19565v5 |
2023-07-21 | Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism | The thermodynamic model of visco-elastic deformable magnetic materials at
finite strains is formulated in a fully Eulerian way in rates with the aim to
describe thermoremanent paleomagnetism in crustal rocks. The Landau theory
applied to a ferro-to-para-magnetic phase transition, the gradient theory for
magnetization (... | 2307.11826v2 |
2011-06-23 | Ratchet effect on a relativistic particle driven by external forces | We study the ratchet effect of a damped relativistic particle driven by both
asymmetric temporal bi-harmonic and time-periodic piecewise constant forces.
This system can be formally solved for any external force, providing the
ratchet velocity as a non-linear functional of the driving force. This allows
us to explicitl... | 1106.4861v1 |
2011-07-17 | Nonlinear-damping continuation of the nonlinear Schrödinger equation - a numerical study | We study the nonlinear-damping continuation of singular solutions of the
critical and supercritical NLS. Our simulations suggest that for generic
initial conditions that lead to collapse in the undamped NLS, the solution of
the weakly-damped NLS $$
i\psi_t(t,\X)+\Delta\psi+|\psi|^{p-1}\psi+i\delta|\psi|^{q-1}\psi=0,\qq... | 1107.3281v1 |
2018-04-06 | Exponential Integrators Preserving Local Conservation Laws of PDEs with Time-Dependent Damping/Driving Forces | Structure-preserving algorithms for solving conservative PDEs with added
linear dissipation are generalized to systems with time-dependent
damping/driving terms. This study is motivated by several PDE models of
physical phenomena, such as Korteweg-de Vries, Klein-Gordon, Schr\"{o}dinger,
and Camassa-Holm equations, all... | 1804.02266v1 |
2019-11-13 | Dipole oscillations of fermionic superfluids along the BEC-BCS crossover in disordered potentials | We investigate dipole oscillations of ultracold Fermi gases along the BEC-BCS
crossover through disordered potentials. We observe a disorder-induced damping
of oscillations as well as a change of the fundamental Kohn-mode frequency. The
measurement results are compared to numerical density matrix renormalization
group ... | 1911.05638v1 |
2020-05-16 | Simultaneous observation of anti-damping and inverse spin Hall effect in La$_{0.67}$Sr$_{0.33}$MnO$_{3}$/Pt bilayer system | Manganites have shown potential in spintronics because they exhibit high spin
polarization. Here, by ferromagnetic resonance we have studied the damping
properties of La$_{0.67}$Sr$_{0.33}$MnO$_{3}$/Pt bilayers which are prepared by
oxide molecular beam epitaxy. The damping coefficient ($\alpha$) of
La$_{0.67}$Sr$_{0.3... | 2005.07848v3 |
2021-10-26 | Theory of sound attenuation in amorphous solids from nonaffine motions | We present a theoretical derivation of acoustic phonon damping in amorphous
solids based on the nonaffine response formalism for the viscoelasticity of
amorphous solids. The analytical theory takes into account the nonaffine
displacements in transverse waves and is able to predict both the ubiquitous
low-energy diffusi... | 2110.13446v2 |
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