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2021-11-20 | Skyrmionics in correlated oxides | While chiral magnets, metal-based magnetic multilayers, or Heusler compounds
have been considered as the material workhorses in the field of skyrmionics,
oxides are now emerging as promising alternatives, as they host special
correlations between the spin-orbital-charge-lattice degrees of freedom and/or
coupled ferroic... | 2111.10562v2 |
2021-12-01 | Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics | Recently, Kim & Wilkening (Convergence of a mass-lumped finite element method
for the Landau-Lifshitz equation, Quart. Appl. Math., 76, 383-405, 2018)
proposed two novel predictor-corrector methods for the Landau-Lifshitz-Gilbert
equation (LLG) in micromagnetics, which models the dynamics of the
magnetization in ferrom... | 2112.00451v1 |
2021-12-21 | Fast long-wavelength exchange spin waves in partially-compensated Ga:YIG | Spin waves in yttrium iron garnet (YIG) nano-structures attract increasing
attention from the perspective of novel magnon-based data processing
applications. For short wavelengths needed in small-scale devices, the group
velocity is directly proportional to the spin-wave exchange stiffness constant
$\lambda_\mathrm{ex}... | 2112.11348v1 |
2022-01-27 | Magnon transport and thermoelectric effects in ultrathin Tm3Fe5O12/Pt nonlocal devices | The possibility of electrically exciting and detecting magnon currents in
magnetic insulators has opened exciting perspectives for transporting spin
information in electronic devices. However, the role of the magnetic field and
the nonlocal thermal gradients on the magnon transport remain unclear. Here, by
performing n... | 2201.11353v1 |
2022-01-31 | Tuning spin-orbit torques across the phase transition in VO$_2$/NiFe heterostructure | The emergence of spin-orbit torques as a promising approach to
energy-efficient magnetic switching has generated large interest in material
systems with easily and fully tunable spin-orbit torques. Here, current-induced
spin-orbit torques in VO$_2$/NiFe heterostructures were investigated using
spin-torque ferromagnetic... | 2201.12984v1 |
2022-02-03 | Controlling spin pumping into superconducting Nb by proximity-induced spin-triplet Cooper pairs | Proximity-induced long-range spin-triplet supercurrents, important for the
field of superconducting spintronics, are generated in
superconducting/ferromagnetic heterostructures when interfacial magnetic
inhomogeneities responsible for spin mixing and spin flip scattering are
present. The multilayer stack Nb/Cr/Fe/Cr/Nb... | 2202.01520v1 |
2022-06-17 | Multiscale Modelling of the Antiferromagnet Mn2Au: From ab-initio to Micromagnetics | Antiferromagnets (AFMs) are strong candidates for the future spintronic and
memory applications largely because of their inherently fast dynamics and lack
of stray fields, with Mn2Au being one of the most promising. For the numerical
modelling of magnetic material properties, it is common to use ab-initio
methods, atom... | 2206.08625v1 |
2022-10-29 | Micromagnetic frequency-domain simulation methods for magnonic systems | We present efficient numerical methods for the simulation of small
magnetization oscillations in three-dimensional micromagnetic systems.
Magnetization dynamics is described by the Landau-Lifshitz-Gilbert (LLG)
equation, linearized in the frequency domain around a generic equilibrium
configuration, and formulated in a ... | 2210.16564v3 |
2023-03-07 | Magnon currents excited by the spin Seebeck effect in ferromagnetic EuS thin films | A magnetic insulator is an ideal platform to propagate spin information by
exploiting magnon currents. However, until now, most studies have focused on
Y$_3$Fe$_5$O$_{12}$ (YIG) and a few other ferri- and antiferromagnetic
insulators, but not on pure ferromagnets. In this study, we demonstrate for the
first time that m... | 2303.03833v2 |
2023-04-01 | A coupled magneto-structural continuum model for multiferroic $\mathrm{BiFeO}_3$ | A continuum approach to study magnetoelectric multiferroic $\mathrm{BiFeO}_3$
(BFO) is proposed. Our modeling effort marries the ferroelectric (FE) phase
field method and micromagnetic simulations in order to describe the entire
multiferroic order parameter sector (polarization, oxygen antiphase tilts,
strain, and magn... | 2304.00270v1 |
2023-09-18 | Coherent Tunneling and Strain Sensitivity of an All Heusler Alloy Magnetic Tunneling Junction: A First-Principles Study | Half-metallic Co-based full Heusler alloys have captured considerable
attention of the researchers in the realm of spintronic applications, owing to
their remarkable characteristics such as exceptionally high spin polarization
at Fermi level, ultra-low Gilbert damping, and high Curie temperature. In this
comprehensive ... | 2309.09755v1 |
2023-10-27 | Effect of interfacial Dzyaloshinskii-Moriya interaction in spin dynamics of an Antiferromagnet coupled Ferromagnetic double-barrier Magnetic Tunnel Junction | In this work, we have studied the spin dynamics of a synthethic
Antiferromagnet (SAFM)$|$Heavy Metal (HM)$|$Ferromagnet (FM) double barrier
magnetic tunnel junction (MTJ) in presence of Ruderman-Kittel-Kasuya-Yoside
interaction (RKKYI), interfacial Dzyaloshinskii-Moriya interaction (iDMI),
N\'eel field and Spin-Orbit C... | 2310.18175v1 |
2023-11-14 | Berry curvature induced giant intrinsic spin-orbit torque in single layer magnetic Weyl semimetal thin films | Topological quantum materials can exhibit unconventional surface states and
anomalous transport properties, but their applications to spintronic devices
are restricted as they require the growth of high-quality thin films with
bulk-like properties. Here, we study 10--30 nm thick epitaxial ferromagnetic
Co$_{\rm 2}$MnGa... | 2311.08145v2 |
2023-12-26 | All solution grown epitaxial magnonic crystal of thulium iron garnet thin film | Magnonics has shown the immense potential of compatibility with CMOS devices
and the ability to be utilized in futuristic quantum computing. Therefore, the
magnonic crystals, both metallic and insulating, are under extensive
exploration. The presence of high spin-orbit interaction induced by the
presence of rare-earth ... | 2312.15973v1 |
2024-03-01 | Spin current control of magnetism | Exploring novel strategies to manipulate the order parameter of magnetic
materials by electrical means is of great importance, not only for advancing
our understanding of fundamental magnetism, but also for unlocking potential
practical applications. A well-established concept to date uses gate voltages
to control magn... | 2403.00709v1 |
2004-04-06 | Bounds for contractive semigroups and second order systems | We derive a uniform bound for the difference of two contractive semigroups,
if the difference of their generators is form-bounded by the Hermitian parts of
the generators themselves. We construct a semigroup dynamics for second order
systems with fairly general operator coefficients and apply our bound to the
perturbat... | 0404120v1 |
1998-05-29 | Magnetic Faraday-Instability | In a magnetic fluid parametrically driven surface waves can be excited by an
external oscillating magnetic field. A static magnetic field changes the
restoring forces and damping coefficients of the various surface waves. This
property enables the excitation of both subharmonic and harmonic responses of
the standing wa... | 9806001v1 |
2003-12-10 | Charge Fluctuation of Dust Grains and its Impact on Dusty Wave Propagation | In this paper we consider the influence of dust charge fluctuations on
damping of the dust-ion-acoustic waves. Fluid approximation of longitudinal
electrostatic waves in unmagnetized plasmas is considered. We show that for a
weak acoustic wave the attenuation depends on a phenomenological charging
coefficient. | 0312067v1 |
2005-07-26 | On simulations of the classical harmonic oscillator equation by difference equations | We show that any second order linear ordinary diffrential equation with
constant coefficients (including the damped and undumped harmonic oscillator
equation) admits an exact discretization, i.e., there exists a difference
equation whose solutions exactly coincide with solutions of the corresponding
differential equati... | 0507182v1 |
1998-02-16 | Classical states via decoherence | The initial states which minimize the predictability loss for a damped
harmonic oscillator are identified as quasi-free states with a symmetry
dictated by the environment's diffusion coefficients. For an isotropic
diffusion in phase space, coherent states (or mixtures of coherent states) are
selected as the most stable... | 9802044v1 |
2007-11-15 | $C^m$-theory of damped wave equations with stabilisation | The aim of this note is to extend the energy decay estimates from [J. Wirth,
J. Differential Equations 222 (2006) 487--514] to a broader class of
time-dependent dissipation including very fast oscillations. This is achieved
using stabilisation conditions on the coefficient in the spirit of [F.
Hirosawa, Math. Ann. 339/... | 0711.2403v1 |
2014-04-22 | A unique continuation result for the plate equation and an application | In this paper, we prove the unique continuation property for the weak
solution of the plate equation with non-smooth coefficients. Then, we apply
this result to study the global attractor for the semilinear plate equation
with a localized damping. | 1404.5586v3 |
2017-09-24 | Exceptional points in two simple textbook examples | We propose to introduce the concept of exceptional points in intermediate
courses on mathematics and classical mechanics by means of simple textbook
examples. The first one is an ordinary second-order differential equation with
constant coefficients. The second one is the well known damped harmonic
oscillator. They ena... | 1710.00067v1 |
2019-06-06 | Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay | We consider the KdV-Burgers equation and its linear version in presence of a
delay feedback. We prove well-posedness of the models and exponential decay
estimates under appropriate conditions on the damping coefficients. Our
arguments rely on a Lyapunov functional approach combined with a step by step
procedure and sem... | 1906.02488v1 |
2021-07-21 | Convergence rates for the Heavy-Ball continuous dynamics for non-convex optimization, under Polyak-Łojasiewicz condition | We study convergence of the trajectories of the Heavy Ball dynamical system,
with constant damping coefficient, in the framework of convex and non-convex
smooth optimization. By using the Polyak-{\L}ojasiewicz condition, we derive
new linear convergence rates for the associated trajectory, in terms of
objective functio... | 2107.10123v2 |
2021-08-29 | Well-posedness and stability for semilinear wave-type equations with time delay | In this paper we analyze a semilinear abstract damped wave-type equation with
time delay. We assume that the delay feedback coefficient is variable in time
and belonging to $L^1_{loc}([0, +\infty)).$ Under suitable assumptions, we show
well-posedness and exponential stability for small initial data. Our strategy
combin... | 2108.12786v1 |
2021-10-22 | p-Laplacian wave equations in non-cylindrical domains | This paper is devoted to studying the stability of p-Laplacian wave equations
with strong damping in non-cylindrical domains. The method of proof based on
some estimates for time-varying coefficients rising from moving boundary and a
modified Kormonik inequality. Meanwhile, by selecting appropriate auxiliary
functions,... | 2110.11547v1 |
2022-07-25 | Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity | We consider the compressible Navier-Stokes system describing the motion of a
barotropic fluid with density dependent viscosity confined in a
three-dimensional bounded domain $\Omega$. We show the convergence of the weak
solution to the compressible Navier-Stokes system to the strong solution to the
compressible Euler s... | 2207.12222v1 |
2018-05-08 | Effect of transport coefficients on excitation of flare-induced standing slow-mode waves in coronal loops | Standing slow-mode waves have been recently observed in flaring loops by the
Atmospheric Imaging Assembly (AIA) of the Solar Dynamics Observatory (SDO). By
means of the coronal seismology technique transport coefficients in hot
($\sim$10 MK) plasma were determined by Wang et al.(2015, Paper I), revealing
that thermal c... | 1805.03282v1 |
2005-01-02 | Effect of dipolar interactions on the magnetization of a cubic array of nanomagnets | We investigated the effect of intermolecular dipolar interactions on a cubic
3D ensemble of 5X5X4=100 nanomagnets, each with spin $S = 5$. We employed the
Landau-Lifshitz-Gilbert equation to solve for the magnetization $M(B)$ curves
for several values of the damping constant $\alpha$, the induction sweep rate,
the latt... | 0501006v2 |
2019-03-07 | Uniaxial anisotropy, intrinsic and extrinsic damping in Co$_{2}$FeSi Heusler alloy thin films | Ferromagnetic resonance (FMR) technique has been used to study the
magnetization relaxation processes and magnetic anisotropy in two different
series of the Co2FeSi (CFS) Heusler alloy thin films, deposited on the Si(111)
substrate by UHV sputtering. While the CFS films of fixed (50 nm) thickness,
deposited at differen... | 1903.02976v1 |
2023-09-19 | Impact of strain on the SOT-driven dynamics of thin film Mn$_3$Sn | Mn$_3$Sn, a metallic antiferromagnet with an anti-chiral 120$^\circ$ spin
structure, generates intriguing magneto-transport signatures such as a large
anomalous Hall effect, spin-polarized current with novel symmetries, anomalous
Nernst effect, and magneto-optic Kerr effect. When grown epitaxially as
MgO(110)[001]$\par... | 2309.10246v2 |
2009-04-16 | Good Concatenated Code Ensembles for the Binary Erasure Channel | In this work, we give good concatenated code ensembles for the binary erasure
channel (BEC). In particular, we consider repeat multiple-accumulate (RMA) code
ensembles formed by the serial concatenation of a repetition code with multiple
accumulators, and the hybrid concatenated code (HCC) ensembles recently
introduced... | 0904.2482v1 |
2004-08-10 | Cosmic Ray Scattering and Streaming in Compressible Magnetohydrodynamic Turbulence | Recent advances in understanding of magnetohydrodynamic (MHD) turbulence call
for revisions in the picture of cosmic ray transport. In this paper we use
recently obtained scaling laws for MHD modes to obtain the scattering frequency
for cosmic rays. Using quasilinear theory we calculate gyroresonance with MHD
modes (Al... | 0408172v1 |
1999-11-22 | Two-fluid hydrodynamics of a Bose gas including damping from normal fluid transport coefficients | We extend our recent work on the two-fluid hydrodynamics of the condensate
and non-condensate in a trapped Bose gas by including the dissipation
associated with viscosity and thermal conduction. For purposes of illustration,
we consider the hydrodynamic modes in the case of a uniform Bose gas. A finite
thermal conducti... | 9911336v1 |
2001-11-14 | Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation | We use the Riemann-Hilbert problem to study the interaction of the soliton
with radiation in the parametrically driven, damped nonlinear Schr\"odinger
equation. The analysis is reduced to the study of a finite-dimensional
dynamical system for the amplitude and phase of the soliton and the complex
amplitude of the long-... | 0111034v1 |
1996-12-08 | Towards a Simple Model of Compressible Alfvenic Turbulence | A simple model collisionless, dissipative, compressible MHD (Alfvenic)
turbulence in a magnetized system is investigated. In contrast to more familiar
paradigms of turbulence, dissipation arises from Landau damping, enters via
nonlinearity, and is distributed over all scales. The theory predicts that two
different regi... | 9612005v2 |
2009-01-15 | The sound damping constant for generalized theories of gravity | The near-horizon metric for a black brane in Anti-de Sitter (AdS) space and
the metric near the AdS boundary both exhibit hydrodynamic behavior. We
demonstrate the equivalence of this pair of hydrodynamic systems for the sound
mode of a conformal theory. This is first established for Einstein's gravity,
but we then sho... | 0901.2191v1 |
2009-07-30 | Gas damping force noise on a macroscopic test body in an infinite gas reservoir | We present a simple analysis of the force noise associated with the
mechanical damping of the motion of a test body surrounded by a large volume of
rarefied gas. The calculation is performed considering the momentum imparted by
inelastic collisions against the sides of a cubic test mass, and for other
geometries for wh... | 0907.5375v2 |
2011-03-08 | Steady states of the parametric rotator and pendulum | We discuss several steady-state rotation and oscillation modes of the planar
parametric rotator and pendulum with damping. We consider a general elliptic
trajectory of the suspension point for both rotator and pendulum, for the
latter at an arbitrary angle with gravity, with linear and circular
trajectories as particul... | 1103.1413v1 |
2011-03-28 | Motion of position-dependent mass as a damping-antidamping process: Application to the Fermi gas and to the Morse potential | The object of this paper is to investigate, classically and quantum
mechanically, the relation existing between the position-dependent effective
mass and damping-antidamping dynamics. The quantization of the equations of
motion is carried out using the geometric interpretation of the motion, and we
compare it with the ... | 1103.5440v3 |
2011-06-22 | Tunable Magnonic Frequency and Damping in [Co/Pd]8 Multilayers with Variable Co Layer Thickness | We report the experimental observation of collective picosecond magnetization
dynamics in [Co/Pd]8 multilayers with perpendicular magnetic anisotropy. The
precession frequency shows large and systematic variation from about 5 GHz to
about 90 GHz with the decrease in the Co layer thickness from 1.0 nm to 0.22 nm
due to ... | 1106.4491v1 |
2012-05-14 | Critical viscoelastic response in jammed solids | We determine the linear viscoelastic response of jammed packings of athermal
repulsive viscous spheres, a model for emulsions, wet foams, and soft colloidal
suspensions. We numerically measure the complex shear modulus, a fundamental
characterization of the response, and demonstrate that low frequency response
displays... | 1205.2960v1 |
2012-10-04 | Basic microscopic plasma physics unified and simplified by N-body classical mechanics | Debye shielding, collisional transport, Landau damping of Langmuir waves, and
spontaneous emission of these waves are introduced, in typical plasma physics
textbooks, in different chapters. This paper provides a compact unified
introduction to these phenomena without appealing to fluid or kinetic models,
but by using N... | 1210.1546v2 |
2015-01-23 | Response solutions for quasi-periodically forced, dissipative wave equations | We consider several models of nonlinear wave equations subject to very strong
damping and quasi-periodic external forcing. This is a singular perturbation,
since the damping is not the highest order term. We study the existence of
response solutions (i.e., quasi-periodic solutions with the same frequency as
the forcing... | 1501.05979v1 |
2015-05-08 | Existence and general stabilization of the Timoshenko system with a thermo-viscoelastic damping and a delay term in the internal feedback | In this paper, we consider a Timoshenko system with a thermo-viscoelastic
damping and a delay term in the internal feedback together with initial datum
and boundary conditions of Dirichlet type, where g is a positive non-increasing
relaxation function and {\mu}1, {\mu}2 are positive constants. Under an
hypothesis betwe... | 1505.01899v1 |
2015-09-03 | Stability analysis of degenerately-damped oscillations | Presented here is a study of well-posedness and asymptotic stability of a
"degenerately damped" PDE modeling a vibrating elastic string. The coefficient
of the damping may vanish at small amplitudes thus weakening the effect of the
dissipation. It is shown that the resulting dynamical system has strictly
monotonically ... | 1509.00917v1 |
2016-07-20 | Envelope equation for the linear and nonlinear propagation of an electron plasma wave, including the effects of Landau damping, trapping, plasma inhomogeneity, and the change in the state of wave | This paper addresses the linear and nonlinear three-dimensional propagation
of an electron wave in a collisionless plasma that may be inhomogeneous,
nonstationary, anisotropic and even weakly magnetized. The wave amplitude,
together with any hydrodynamic quantity characterizing the plasma (density,
temperature,...) are... | 1607.05844v2 |
2017-04-07 | Underdamped stochastic harmonic oscillator | We investigate stationary states of the linear damped stochastic oscillator
driven by L\'evy noises. In the long time limit kinetic and potential energies
of the oscillator do not fulfill the equipartition theorem and their
distributions follow the power-law asymptotics. At the same time, partition of
the mechanical en... | 1704.02119v2 |
2017-08-30 | Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant | This paper is concerned with the asymptotic behavior of the solution to the
Euler equations with time-depending damping on quadrant $(x,t)\in
\mathbb{R}^+\times\mathbb{R}^+$, \begin{equation}\notag \partial_t v
-
\partial_x u=0, \qquad \partial_t u
+
\partial_x p(v)
=\displaystyle
-\frac{\alpha}{(1+t)^\lamb... | 1708.09127v1 |
2018-01-23 | The effect of liquid on the vibrational intensity of a wineglass at steady state resonance | As a liquid is inserted into a wineglass, the natural frequency of the
wineglass decreases. This phenomenon, known as pitch lowering, is well
explained in past papers. However, previous literature have not yet mentioned
that pitch lowering also reduces the resonance intensity of a wineglass. Thus,
this present paper ai... | 1801.07514v5 |
2018-04-11 | A global existence result for a semilinear wave equation with scale-invariant damping and mass in even space dimension | In the present article a semilinear wave equation with scale-invariant
damping and mass is considered. The global (in time) existence of radial
symmetric solutions in even spatial dimension $n$ is proved using weighted
$L^\infty-L^\infty$ estimates, under the assumption that the multiplicative
constants, which appear i... | 1804.03978v1 |
2018-07-17 | Boundary-to-Displacement Asymptotic Gains for Wave Systems With Kelvin-Voigt Damping | We provide estimates for the asymptotic gains of the displacement of a
vibrating string with endpoint forcing, modeled by the wave equation with
Kelvin-Voigt and viscous damping and a boundary disturbance. Two asymptotic
gains are studied: the gain in the L2 spatial norm and the gain in the spatial
sup norm. It is show... | 1807.06549v1 |
2018-07-24 | Stabilization of an unstable wave equation using an infinite dimensional dynamic controller | This paper deals with the stabilization of an anti-stable string equation
with Dirichlet actuation where the instability appears because of the
uncontrolled boundary condition. Then, infinitely many unstable poles are
generated and an infinite dimensional control law is therefore proposed to
exponentially stabilize the... | 1807.08999v2 |
2018-08-30 | The influence of the coefficients of a system of coupled wave equations with fractional damping on its stabilization | In this work, we consider a system of two wave equations coupled by
velocities in one-dimensional space, with one boundary fractional damping.
First, we show that the system is strongly asymptotically stable if and only if
the coupling parameter b of the two equations is outside a discrete set of
exceptional real value... | 1808.10285v4 |
2019-06-10 | Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity | We study the compressible quantum Navier-Stokes (QNS) equations with
degenerate viscosity in the three dimensional periodic domains. On the one
hand, we consider QNS with additional damping terms. Motivated by the recent
works [Li-Xin, arXiv:1504.06826] and [Antonelli-Spirito, Arch. Ration. Mech.
Anal., 203(2012), 499-... | 1906.03971v1 |
2019-08-19 | Time Delay in the Swing Equation: A Variety of Bifurcations | The present paper addresses the swing equation with additional delayed
damping as an example for pendulum-like systems. In this context, it is proved
that recurring sub- and supercritical Hopf bifurcations occur if time delay is
increased. To this end, a general formula for the first Lyapunov coefficient in
second orde... | 1908.07996v3 |
2019-12-30 | A Link Between Relativistic Rest Energy and Fractionary Momentum Operators of Order 1/2 | The solution of a causal fractionary wave equation in an infinite potential
well was obtained. First, the so-called "free particle" case was solved, giving
as normalizable solutions a superposition of damped oscillations similar to a
wave packet. From this results, the infinite potential well case was then
solved. The ... | 1912.12770v4 |
2020-08-18 | Singularity formation for compressible Euler equations with time-dependent damping | In this paper, we consider the compressible Euler equations with
time-dependent damping \frac{\a}{(1+t)^\lambda}u in one space dimension. By
constructing 'decoupled' Riccati type equations for smooth solutions, we
provide some sufficient conditions under which the classical solutions must
break down in finite time. As ... | 2008.07756v1 |
2020-11-14 | Learning a Reduced Basis of Dynamical Systems using an Autoencoder | Machine learning models have emerged as powerful tools in physics and
engineering. Although flexible, a fundamental challenge remains on how to
connect new machine learning models with known physics. In this work, we
present an autoencoder with latent space penalization, which discovers finite
dimensional manifolds und... | 2011.07346v1 |
2021-01-11 | Damped (linear) response theory within the resolution-of-identity coupled cluster singles and approximate doubles (RI-CC2) method | An implementation of a complex solver for the solution of the response
equations required to compute the complex response functions of damped response
theory is presented for the resolution-of-identity (RI) coupled-cluster singles
and approximate doubles CC2 method. The implementation uses a partitioned
formulation tha... | 2101.03756v1 |
2021-06-24 | Landau damping of electron-acoustic waves due to multi-plasmon resonances | The linear and nonlinear theories of electron-acoustic waves (EAWs) are
studied in a partially degenerate quantum plasma with two-temperature electrons
and stationary ions. The initial equilibrium of electrons is assumed to be
given by the Fermi-Dirac distribution at finite temperature. By employing the
multi-scale asy... | 2106.12754v2 |
2021-08-12 | The damping and diffusion of atoms moving in the background electromagnetic environment | The interaction between an atom and the quantized electromagnetic field
depends on the position of the atom. Then the atom experiences a force which is
the minus gradient of this interaction. Through the Heisenberg equations of
motion and the Born-Markov approximation, the mean and correlation of the force
are obtained... | 2108.05590v3 |
2021-11-18 | Sharp Stability of a String with Local Degenerate Kelvin-Voigt Damping | This paper is on the asymptotic behavior of the elastic string equation with
localized degenerate Kelvin--Voigt damping $$
u_{tt}(x,t)-[u_{x}(x,t)+b(x)u_{x,t}(x,t)]_{x}=0,\; x\in(-1,1),\; t>0,$$ where
$b(x)=0$ on $x\in (-1,0]$, and $b(x)=x^\alpha>0$ on $x\in (0,1)$ for
$\alpha\in(0,1)$. It is known that the optimal dec... | 2111.09500v1 |
2021-11-26 | Damping of Pseudo-Goldstone Fields | Approximate symmetries abound in Nature. If these symmetries are also
spontaneously broken, the would-be Goldstone modes acquire a small mass, or
inverse correlation length, and are referred to as pseudo-Goldstones. At
nonzero temperature, the effects of dissipation can be captured by
hydrodynamics at sufficiently long... | 2111.13459v2 |
2023-06-26 | Blow-up result for a weakly coupled system of wave equations with a scale-invariant damping, mass term and time derivative nonlinearity | We study in this article the blow-up of solutions to a coupled semilinear
wave equations which are characterized by linear damping terms in the
\textit{scale-invariant regime}, time-derivative nonlinearities, mass terms and
Tricomi terms. The latter are specifically of great interest from both physical
and mathematical... | 2306.14768v1 |
2010-03-11 | Damping of MHD turbulence in partially ionized gas and the observed difference of velocities of neutrals and ions | Theoretical and observational studies on the turbulence of the interstellar
medium developed fast in the past decades. The theory of supersonic magnetized
turbulence, as well as the understanding of projection effects of observed
quantities, are still in progress. In this work we explore the characterization
of the tur... | 1003.2346v1 |
2012-11-06 | Torsional Alfvén waves in solar partially ionized plasma: effects of neutral helium and stratification | Ion-neutral collisions may lead to the damping of Alfven waves in
chromospheric and prominence plasmas. Neutral helium atoms enhance the damping
in certain temperature interval, where the ratio of neutral helium and neutral
hydrogen atoms is increased. Therefore, the height-dependence of ionization
degrees of hydrogen ... | 1211.1348v2 |
1999-05-29 | Theory of Hall Effect and Electrical Transport in High-Tc Cuprates: Effects of Antiferromagnetic Spin Fluctuations | In the normal state of high-Tc cuprates, the Hall coefficient shows
remarkable temperature dependence, and its absolute value is enhanced in
comparison with that value simply estimated on the basis of band structure. It
has been recognized that this temperature dependence of the Hall coefficient is
due to highly anisot... | 9905428v1 |
2021-06-02 | In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients | We extend the kinetic theory of $D$ mesons to accommodate thermal and
off-shell effects due to the medium modification of the heavy-meson spectral
functions. From the Kadanoff-Baym approach we derive the off-shell
Fokker-Planck equation which encodes the heavy-flavor transport coefficients.
We analyze the thermal width... | 2106.01156v2 |
2022-04-08 | Transport coefficients of heavy quarkonia comparing with heavy quark coefficients | We revisit the transport coefficients of heavy quarkonia moving in
high-temperature QCD plasmas. The thermal width and mass shift for heavy
quarkonia are closely related to the momentum diffusion coefficient and its
dispersive counterpart for heavy quarks, respectively. For quarkonium at rest
in plasmas the longitudina... | 2204.04180v1 |
2006-06-15 | Purity and decoherence in the theory of a damped harmonic oscillator | For the generalized master equations derived by Karrlein and Grabert for the
microscopic model of a damped harmonic oscillator, the conditions for purity of
states are written, in particular for different initial conditions and
different types of damping, including Ohmic, Drude and weak coupling cases,
Agarwal and Weid... | 0606134v1 |
2009-10-09 | One-way coupled Van der Pol system | The equation of the Van der Pol oscillator, being characterized by a
dissipative term, is non-Lagrangian. Appending an additional degree of freedom
we bring the equation in the frame of action principle and thus introduce a
one-way coupled system. As with the Van der Pol oscillator, the coupled system
also involves onl... | 0910.1700v1 |
2018-02-18 | On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation | We develop a provably energy stable discontinuous Galerkin spectral element
method (DGSEM) approximation of the perfectly matched layer (PML) for the three
and two space dimensional (3D and 2D) linear acoustic wave equations, in first
order form, subject to well-posed linear boundary conditions. First, using the
well-k... | 1802.06388v1 |
2018-09-19 | Critical exponent for the semilinear wave equations with a damping increasing in the far field | We consider the Cauchy problem of the semilinear wave equation with a damping
term \begin{align*}
u_{tt} - \Delta u + c(t,x) u_t = |u|^p, \quad (t,x)\in (0,\infty)\times
\mathbb{R}^N,\quad
u(0,x) = \varepsilon u_0(x), \ u_t(0,x) = \varepsilon u_1(x), \quad x\in
\mathbb{R}^N, \end{align*} where $p>1$ and the coeffic... | 1809.06994v1 |
2020-08-03 | Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities | We consider in this article the damped wave equation, in the
\textit{scale-invariant case} with combined two nonlinearities, which reads as
follows: \begin{displaymath} \d (E) \hspace{1cm} u_{tt}-\Delta
u+\frac{\mu}{1+t}u_t=|u_t|^p+|u|^q, \quad \mbox{in}\ \R^N\times[0,\infty),
\end{displaymath} with small initial data.... | 2008.02109v3 |
2021-07-17 | Theoretical and numerical study of vibrational resonance in a damped softening Duffing oscillator | We study the possibility of occurrence of vibrational resonance in a
softening Duffing oscillator in the underdamped and overdamped cases both
theoretically as well as numerically. The oscillator is driven by two periodic
forces. Numerically we find that in the underdamped case two oscillatory
solutions are obtained in... | 2107.08302v1 |
2021-11-15 | Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters | A second order accurate, linear numerical method is analyzed for the
Landau-Lifshitz equation with large damping parameters. This equation describes
the dynamics of magnetization, with a non-convexity constraint of unit length
of the magnetization. The numerical method is based on the second-order
backward differentiat... | 2111.07537v1 |
2022-12-22 | Spin wave dispersion of ultra-low damping hematite ($α\text{-Fe}_2\text{O}_3$) at GHz frequencies | Low magnetic damping and high group velocity of spin waves (SWs) or magnons
are two crucial parameters for functional magnonic devices. Magnonics research
on signal processing and wave-based computation at GHz frequencies focussed on
the artificial ferrimagnetic garnet Y$_3$Fe$_5$O$_{12}$ (YIG) so far. We report
on spi... | 2212.11887v2 |
2024-02-19 | Global existence for non-homogeneous incompressible inviscid fluids in presence of Ekman pumping | In this paper, we study the global solvability of the density-dependent
incompressible Euler equations, supplemented with a damping term of the form $
\mathfrak{D}_{\alpha}^{\gamma}(\rho, u) = \alpha \rho^{\gamma} u $, where
$\alpha>0$ and $ \gamma \in \{0,1\} $. To some extent, this system can be seen
as a simplified ... | 2402.12592v1 |
1993-04-01 | Wavelet transforms versus Fourier transforms | This note is a very basic introduction to wavelets. It starts with an
orthogonal basis of piecewise constant functions, constructed by dilation and
translation. The ``wavelet transform'' maps each $f(x)$ to its coefficients
with respect to this basis. The mathematics is simple and the transform is fast
(faster than the... | 9304214v1 |
2008-01-07 | Magnetization reversal driven by spin-injection : a mesoscopic spin-transfer effect | A mesoscopic description of spin-transfer effect is proposed, based on the
spin-injection mechanism occurring at the junction with a ferromagnet. The
effect of spin-injection is to modify locally, in the ferromagnetic
configuration space, the density of magnetic moments. The corresponding
gradient leads to a current-de... | 0801.1019v1 |
2012-07-24 | Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators | We survey various quantized bulk physical observables in two- and
three-dimensional topological band insulators invariant under translational
symmetry and crystallographic point group symmetries (PGS). In two-dimensional
insulators, we show that: (i) the Chern number of a $C_n$-invariant insulator
can be determined, up... | 1207.5767v2 |
2016-08-06 | High current, high efficiency graded band gap perovskite solar cells | Organic-inorganic halide perovskite materials have emerged as attractive
alternatives to conventional solar cell building blocks. Their high light
absorption coefficients and long diffusion lengths suggest high power
conversion efficiencies (PCE),1-5 and indeed perovskite-based single band gap
and tandem solar cell des... | 1608.02150v1 |
2016-08-30 | LiRa: A New Likelihood-Based Similarity Score for Collaborative Filtering | Recommender system data presents unique challenges to the data mining,
machine learning, and algorithms communities. The high missing data rate, in
combination with the large scale and high dimensionality that is typical of
recommender systems data, requires new tools and methods for efficient data
analysis. Here, we a... | 1608.08646v2 |
2018-11-01 | Time Quantified Monte Carlo Method for Long-range Interacting Systems | We propose a method for simulating the stochastic dynamics of classical spin
systems with long-range interactions. The method incorporates the stochastic
cutoff (SCO) method, which is originally specialized for simulating equilibrium
state, into time quantified Monte Carlo (TQMC) method. We analytically prove
that the ... | 1811.00237v2 |
2019-01-10 | Multi-Parameter Regression Survival Modelling: An Alternative to Proportional Hazards | It is standard practice for covariates to enter a parametric model through a
single distributional parameter of interest, for example, the scale parameter
in many standard survival models. Indeed, the well-known proportional hazards
model is of this kind. In this paper we discuss a more general approach whereby
covaria... | 1901.03277v1 |
2019-11-05 | Numerical methods for antiferromagnetics | Compared with ferromagnetic counterparts, antiferromagnetic materials are
considered as the future of spintronic applications since these materials are
robust against the magnetic perturbation, produce no stray field, and display
ultrafast dynamics. There are (at least) two sets of magnetic moments in
antiferromagnets ... | 1911.01717v1 |
2023-02-06 | Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets | The thermodynamic model of visco-elastic deformable magnetic materials at
finite strains is formulated in a fully Eulerian way in rates. The Landau
theory applies for ferro-to-para-magnetic phase transition, the gradient theory
(leading exchange energy) for magnetization with general mechanically dependent
coefficient,... | 2302.02850v1 |
2000-10-12 | Friction in a solid lubricant film | Molecular dynamics study of a thin (one to five layers) lubricant film
between two substrates in moving contact are performed using Langevin equations
with an external damping coefficient depending on distance and velocity of
atoms relative the substrates, motivated by microscopic configurations. They
show that the min... | 0010185v1 |
1993-06-01 | Transport Properties of Solitons | We calculate in this article the transport coefficients which characterize
the dynamics of solitons in quantum field theory using the methods of
dissipative quantum systems. We show how the damping and diffusion coefficients
of soliton-like excitations can be calculated using the integral functional
formalism. The mode... | 9306007v1 |
2008-10-01 | Estimating Speed and Damping in the Stochastic Wave Equation | A parameter estimation problem is considered for a one-dimensional stochastic
wave equation driven by additive space-time Gaussian white noise.
The estimator is of spectral type and utilizes a finite number of the spatial
Fourier coefficients of the solution. The asymptotic properties of the
estimator are studied as ... | 0810.0046v1 |
2009-06-23 | Parameter Estimation in Diagonalizable Stochastic Hyperbolic Equations | A parameter estimation problem is considered for a linear stochastic
hyperbolic equation driven by additive space-time Gaussian white noise. The
damping/amplification operator is allowed to be unbounded.
The estimator is of spectral type and utilizes a finite number of the spatial
Fourier coefficients of the solution... | 0906.4353v1 |
2011-12-11 | Shear viscosity and spin diffusion coefficient of a two-dimensional Fermi gas | Using kinetic theory, we calculate the shear viscosity and the spin diffusion
coefficient as well as the associated relaxation times for a two-component
Fermi gas in two dimensions, as a function of temperature, coupling strength,
polarization, and mass ratio of the two components. It is demonstrated that the
minimum v... | 1112.2395v2 |
2014-03-12 | Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations | We are concerned with the inverse problem of determining both the potential
and the damping coefficient in a dissipative wave equation from boundary
measurements. We establish stability estimates of logarithmic type when the
measurements are given by the operator who maps the initial condition to
Neumann boundary trace... | 1403.3018v2 |
2015-03-16 | Determining a boundary coefficient in a dissipative wave equation: Uniqueness and directional lipschitz stability | We are concerned with the problem of determining the damping boundary
coefficient appearing in a dissipative wave equation from a single boundary
measurement. We prove that the uniqueness holds at the origin provided that the
initial condition is appropriately chosen. We show that the choice of the
initial condition le... | 1503.04528v1 |
2015-04-28 | Fractional relaxation and fractional oscillation models involving Erdelyi-Kober integrals | We consider fractional relaxation and fractional oscillation equations
involving Erdelyi-Kober integrals. In terms of Riemann-Liouville integrals, the
equations we analyze can be understood as equations with time-varying
coefficients. Replacing Riemann-Liouville integrals with Erdelyi-Kober-type
integrals in certain fr... | 1504.07568v1 |
2017-12-28 | On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow | We study the Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in
compressible flow. Inspired by our study for incompressible case
\cite{Jiang-Luo-arXiv-2017} and some techniques from compressible Navier-Stokes
equations, we prove the local-in-time existence of the classical solution to
the system with finite... | 1712.09799v1 |
2018-02-02 | Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity | We cope with a free boundary fluid-structure interaction model. In the model,
the viscous incompressible fluid interacts with elastic body via the common
boundary. The motion of the fluid is governed by Navier-Stokes equations while
the displacement of elastic structure is described by variable coefficient wave
equatio... | 1802.00585v2 |
2020-05-23 | Stability analysis of multi-term fractional-differential equations with three fractional derivatives | Necessary and sufficient stability and instability conditions are obtained
for multi-term homogeneous linear fractional differential equations with three
Caputo derivatives and constant coefficients. In both cases,
fractional-order-dependent as well as fractional-order-independent
characterisations of stability and ins... | 2005.11486v1 |
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