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2013-08-21
Overstable Librations can account for the Paucity of Mean Motion Resonances among Exoplanet Pairs
We assess the multi-planet systems discovered by the Kepler satellite in terms of current ideas about orbital migration and eccentricity damping due to planet-disk interactions. Our primary focus is on mean motion resonances. Only a few percent of planet pairs are in close proximity to a resonance. However, predicted m...
1308.4688v2
2013-08-30
Nested Head-Tail Vlasov Solver
Nested Head-Tail (NHT) is a Mathematica-based Vlasov solver for transverse oscillations in multi-bunch beams. It takes into account azimuthal, radial, coupled-bunch and beam-beam degrees of freedom, single- and inter-bunch dipole wakes, an arbitrary damper, beam-beam effects and Landau damping.
1309.0044v3
2013-09-24
Attractors for damped quintic wave equations in bounded domains
The dissipative wave equation with a critical quintic nonlinearity in smooth bounded three dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. M...
1309.6272v1
2013-09-30
Harmonic oscillator: an analysis via Fourier series
The Fourier series method is used to solve the homogeneous equation governing the motion of the harmonic oscillator. It is shown that the general solution to the problem can be found in a surprisingly simple way for the case of the simple harmonic oscillator. It is also shown that the damped harmonic oscillator is susc...
1309.7918v1
2013-10-01
Observations and predictions at CesrTA, and outlook for ILC
In this paper, we will describe some of the recent experimental measurements [1, 2, 3] performed at CESRTA [4], and the supporting simulations, which probe the interaction of the electron cloud with the stored beam. These experiments have been done over a wide range of beam energies, emittances, bunch currents, and fil...
1310.0261v1
2013-10-21
A Critical History of Renormalization
The history of renormalization is reviewed with a critical eye, starting with Lorentz's theory of radiation damping, through perturbative QED with Dyson, Gell-Mann & Low, and others, to Wilson's formulation and Polchinski's functional equation, and applications to "triviality", and dark energy in cosmology.
1310.5533v1
2013-10-27
Fundamental limitations of half-metallicicity in spintronic materials
Zero-point spin fluctuations are shown to strongly influence the ground state of ferromagnetic metals and to impose limitations for the fully spin polarized state assumed in half-metallic ferromagnets, which may influence their applications in spintronics. This phenomenon leads to the low-frequency Stoner excitations a...
1310.7174v1
2013-12-13
Probing Intergalactic Neutral Hydrogen by the Lyman Alpha Red Damping Wing of Gamma-Ray Burst 130606A Afterglow Spectrum at z = 5.913
The unprecedentedly bright optical afterglow of GRB 130606A located by Swift at a redshift close to the reionization era (z = 5.913) provides a new opportunity to probe the ionization status of intergalactic medium (IGM). Here we present an analysis of the red Ly alpha damping wing of the afterglow spectrum taken by Su...
1312.3934v3
2014-01-08
Dynamic exchange via spin currents in acoustic and optical modes of ferromagnetic resonance in spin-valve structures
Two ferromagnetic layers magnetically decoupled by a thick normal metal spacer layer can be, nevertheless, dynamically coupled via spin currents emitted by the spin-pump and absorbed through the spin-torque effects at the neighboring interfaces. A decrease of damping in both layers due to a partial compensation of the ...
1401.1672v1
2014-02-01
Effects of stellar flybys on planetary systems: 3D modeling of the circumstellar disks damping effects
Stellar flybys in star clusters are suspected to affect the orbital architecture of planetary systems causing eccentricity excitation and orbital misalignment between the planet orbit and the equatorial plane of the star. We explore whether the impulsive changes in the orbital elements of planets, caused by an hyperbol...
1402.0077v1
2014-02-21
Damping of electron Zitterbewegung in carbon nanotubes
Zitterbewegung (ZB, trembling motion) of electrons in semiconductor carbon nanotubes is described taking into account dephasing processes. The density matrix formalism is used for the theory. Differences between decay of ZB oscillations due to electron localization and that due to dephasing are discussed.
1402.5393v1
2014-04-18
Exponential mixing for the white - forced damped nonlinear wave equation
The paper is devoted to studying the stochastic nonlinear wave (NLW) equation in a bounded domain D $\subset$ R3. We show that the Markov process associated with the flow of solution has a unique stationary measure $\mu$, and the law of any solution converges to $\mu$ with exponential rate in the dual-Lipschitz norm
1404.4697v1
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
2014-05-13
Magneto-seismological insights into the penumbral chromosphere and evidence for wave damping in spicules
The observation of propagating magneto-hydrodynamic kink waves in magnetic structures and measurement of their properties (amplitude, phase speed) can be used to diagnose the plasma conditions in the neighbourhood of the magnetic structure via magneto-seismology (MS). We aim to reveal properties of the chromosphere/Tra...
1405.3203v1
2014-05-27
Interior feedback stabilization of wave equations with dynamic boundary delay
In this paper we consider an interior stabilization problem for the wave equation with dynamic boundary delay.We prove some stability results under the choice of damping operator. The proof of the main result is based on a frequency domain method and combines a contradiction argument with the multiplier technique to ca...
1405.6865v2
2014-07-11
Remark on stabilization of second order evolution equations by unbounded dynamic feedbacks and applications
In this paper we consider second order evolution equations with unbounded dynamic feedbacks. Under a regularity assumption we show that observability properties for the undamped problem imply decay estimates for the damped problem. We consider both uniform and non uniform decay properties.
1407.3070v1
2014-09-11
Eliminating flutter for clamped von Karman plates immersed in subsonic flows
We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23]. Recent results in [16, 18] show that the plate component of the dynam...
1409.3308v5
2014-12-15
Optomechanical laser cooling with mechanical modulations
We theoretically study the laser cooling of cavity optomechanics when the mechanical resonance frequency and damping depend on time. In the regime of weak optomechanical coupling we extend the theory of laser cooling using an adiabatic approximation. We discuss the modifications of the cooling dynamics and compare it w...
1412.4497v1
2015-03-08
An Analytical Formulation of Power System Oscillation Frequency
This letter proposes an analytical approach to formulate the power system oscillation frequency under a large disturbance. A fact is revealed that the oscillation frequency is only the function of the oscillation amplitude when the system's model and operating condition are fixed. Case studies also show that this funct...
1503.07554v1
2015-04-07
Generation of coherent spin-wave modes in Yttrium Iron Garnet microdiscs by spin-orbit torque
Spin-orbit effects [1-4] have the potential of radically changing the field of spintronics by allowing transfer of spin angular momentum to a whole new class of materials. In a seminal letter to Nature [5], Kajiwara et al. showed that by depositing Platinum (Pt, a normal metal) on top of a 1.3 $\mu$m thick Yttrium Iron...
1504.01512v1
2015-05-01
Periodic solutions for nonlinear hyperbolic evolution systems
We shall deal with the periodic problem for nonlinear perturbations of abstract hyperbolic evolution equations generating an evolution system of contractions. We prove an averaging principle for the translation along trajectories operator associated to the nonlinear evolution system, expressed in terms of the topologic...
1505.00150v1
2015-05-28
Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy
We are interested in the Moore-Gibson-Thompson(MGT) equation with memory \begin{equation}\nonumber \tau u_{ttt}+ \alpha u_{tt}+c^2\A u+b\A u_t -\int_0^tg(t-s)\A w(s)ds=0. \end{equation} We first classify the memory into three types. Then we study how a memory term creates damping mechanism and how the memory causes ene...
1505.07523v1
2015-05-29
Fission barriers heights in A$\sim$ 200 mass region
Statistical model analysis has been carried out for $p$ and $\alpha$ induced fission reactions using a consistent description for fission barrier and level density in A $\sim$ 200 mass region. A continuous damping of shell correction with excitation energy have been considered. Extracted fission barriers agree well wit...
1505.08026v1
2015-06-16
Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations
We consider the Cauchy problem in ${\bf R}^{n}$ for heat and damped wave equations. We derive asymptotic profiles to those solutions with weighted $L^{1,1}({\bf R}^{n})$ data by presenting a simple method.
1506.04858v1
2015-06-21
Predicting the Influence of Plate Geometry on the Eddy Current Pendulum
We quantitatively analyze a familiar classroom demonstration, Van Waltenhofen's eddy current pendulum, to predict the damping effect for a variety of plate geometries from first principles. Results from conformal mapping, finite element simulations and a simplified model suitable for introductory classes are compared w...
1506.06401v1
2015-07-19
Alfvén wave phase-mixing in flows: Why over-dense, solar coronal, open magnetic field structures are cool?
The motivation for this study is to include the effect of plasma flow in Alfv\'en wave (AW) damping via phase mixing and to explore the observational implications. Our magnetohydrodynamic (MHD) simulations and analytical calculations show that, when a background flow is present, mathematical expressions for the AW damp...
1507.05293v2
2015-09-28
Linear inviscid damping for a class of monotone shear flow in Sobolev spaces
In this paper, we prove the decay estimates of the velocity and $H^1$ scattering for the 2D linearized Euler equations around a class of monotone shear flow in a finite channel. Our result is consistent with the decay rate predicted by Case in 1960.
1509.08228v1
2015-10-09
Energy Dissipation and Landau Damping in Two- and Three-Dimensional Plasma Turbulence
Plasma turbulence is ubiquitous in space and astrophysical plasmas, playing an important role in plasma energization, but the physical mechanisms leading to dissipation of the turbulent energy remain to be definitively identified. Kinetic simulations in two dimensions (2D) have been extensively used to study the dissip...
1510.02842v2
2015-10-10
Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann Equation in Bounded Domain (I)
We establish the incompressible Navier-Stokes-Fourier limit for solutions to the Boltzmann equation with a general cut-off collision kernel in a bounded domain. Appropriately scaled families of DiPerna-Lions-(Mischler) renormalized solutions with Maxwell reflection boundary conditions are shown to have fluctuations tha...
1510.02977v1
2015-11-18
Temperature cooling in quantum dissipation channel and the correspondimg thermal vacuum state
We examine temperature cooling of optical chaotic light in a quantum dissipation channel with the damping parameter k.The way we do it is by introducing its thermal vacuum state which can expose entangling effect between the system and the reservoir. The temperature cooling formula is derived, which depends on the para...
1511.05777v1
2016-01-30
Quantum Dynamics of Complex Hamiltonians
Non hermitian Hamiltonians play an important role in the study of dissipative quantum systems. We show that using states with time dependent normalization can simplify the description of such systems especially in the context of the classical limit. We apply this prescription to study the damped harmonic oscillator sys...
1602.00157v2
2016-02-17
Instability of a witness bunch in a plasma bubble
The stability of a trailing witness bunch, accelerated by a plasma wake accelerator (PWA) in a blow-out regime, is discussed. The instability growth rate as well as the energy spread, required for BNS damping, are obtained. A relationship between the PWA power efficiency and the BNS energy spread is derived.
1602.05260v2
2016-02-25
Strong Ly alpha Emission in the Proximate Damped Ly alpha Absorption Trough toward the Quasar SDSS J095253.83+011422.0
SDSS J095253.83+011422.0 (SDSS J0952+0114) was reported by Hall et al. (2004) as an exotic quasar at $z_{\rm em}=3.020$. In contrast to prominent broad metal--line emissions with FWHM~9000 km/s, only a narrow Ly \alpha emission line is present with FWHM~1000 km/s. The absence of broad Ly alpha emission line has been a ...
1602.07880v2
2016-03-27
Evolution of One-Dimensional Wind-Driven Sea Spectra
We analyze modern operational models of wind wave prediction on the subject for compliance dissipation. Our numerical simulations from the "first principle" demonstrate that heuristic formulas for damping rate of free wind sea due to "white capping" (or wave breaking) dramatically exaggerates the role of this effect in...
1603.08229v1
2016-03-07
Faddeev-Jackiw Quantization of Non-Autonomous Singular Systems
We extend the quantization \`a la Faddeev-Jackiw for non-autonomous singular systems. This leads to a generalization of the Schr\"odinger equation for those systems. The method is exemplified by the quantization of the damped harmonic oscillator and the relativistic particle in an external electromagnetic field.
1603.08407v1
2016-05-06
Existence of invariant measures for the stochastic damped Schrödinger equation
In this paper, we address the long time behaviour of solutions of the stochastic Schrodinger equation in $\mathbb{R}^d$. We prove the existence of an invariant measure and establish asymptotic compactness of solutions, implying in particular the existence of an ergodic measure.
1605.02014v1
2016-05-25
Dynamic analysis of simultaneous adaptation of force, impedance and trajectory
When carrying out tasks in contact with the environment, humans are found to concurrently adapt force, impedance and trajectory. Here we develop a robotic model of this mechanism in humans and analyse the underlying dynamics. We derive a general adaptive controller for the interaction of a robot with an environment sol...
1605.07834v1
2016-06-24
Mixing for the Burgers equation driven by a localised two-dimensional stochastic forcing
We consider the one-dimensional Burgers equation perturbed by a stochastic forcing, which is assumed to be white in time and localised and low-dimensional in space. We establish a mixing property for the Markov process associated with the problem in question. The proof is based on a general criterion for mixing and a r...
1606.07763v1
2016-07-01
Randomized block proximal damped Newton method for composite self-concordant minimization
In this paper we consider the composite self-concordant (CSC) minimization problem, which minimizes the sum of a self-concordant function $f$ and a (possibly nonsmooth) proper closed convex function $g$. The CSC minimization is the cornerstone of the path-following interior point methods for solving a broad class of co...
1607.00101v1
2016-11-09
Witnessing quantum capacities of correlated channels
We test a general method to detect lower bounds of the quantum channel capacity for two-qubit correlated channels. We consider in particular correlated dephasing, depolarising and amplitude damping channels. We show that the method is easily implementable, it does not require a priori knowledge about the channels, and ...
1611.02857v1
2017-03-20
Recovery of the starting times of delayed signals
We present a new method to locate the starting points in time of an arbitrary number of (damped) delayed signals. For a finite data sequence, the method permits to first locate the starting point of the component with the longest delay, and then --by iteration-- all the preceding ones. Numerical examples are given and ...
1703.07001v1
2017-05-13
Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
We analyze eigenvalues emerging from thresholds of the essential spectrum of one-dimensional Dirac operators perturbed by complex and non-symmetric potentials. In the general non-self-adjoint setting we establish the existence and asymptotics of weakly coupled eigenvalues and Lieb-Thirring inequalities. As physical app...
1705.04833v1
2017-09-07
The driven oscillator, with friction
This paper develops further the semi-classical theory of an harmonic oscillator acted on by a Gaussian white noise force discussed in (arXiv:1508.02379). Here I add to that theory the effects of Brownian damping (friction). Albeit semi-classical, the theory can be used to model quantum expectations and probabilities. I...
1709.03391v1
2017-11-16
Correlations in the three-dimensional Lyman-alpha forest contaminated by high column density absorbers
Correlations measured in three dimensions in the Lyman-alpha forest are contaminated by the presence of the damping wings of high column density (HCD) absorbing systems of neutral hydrogen (HI; having column densities $N(\mathrm{HI}) > 1.6\times10^{17}\,\mathrm{atoms}\,\mathrm{cm}^{-2}$), which extend significantly bey...
1711.06275v2
2017-12-08
An algorithm to resolve γ-rays from charged cosmic rays with DAMPE
The DArk Matter Particle Explorer (DAMPE), also known as Wukong in China, launched on December 17, 2015, is a new high energy cosmic ray and {\gamma}-ray satellite-borne observatory in space. One of the main scientific goals of DAMPE is to observe GeV-TeV high energy {\gamma}-rays with accurate energy, angular, and tim...
1712.02939v1
2017-12-27
A simple and natural interpretations of the DAMPE cosmic-ray electron/positron spectrum within two sigma deviations
The DArk Matter Particle Explorer (DAMPE) experiment has recently announced the first results for the measurement of total electron plus positron fluxes between 25 GeV and 4.6 TeV. A spectral break at about 0.9 TeV and a tentative peak excess around 1.4 TeV have been found. However, it is very difficult to reproduce bo...
1712.09586v6
2018-03-21
Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks
We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the frequency domain method, we get the asymptotic stabilization result.
1803.07914v1
2018-04-05
Finite time blow up for wave equations with strong damping in an exterior domain
We consider the initial boundary value problem in exterior domain for semilinear wave equations with power-type nonlinearity |u| p. We will establish blow-up results when p is less than or equal to Strauss' exponent which is the same one for the whole space case R n .
1804.01689v1
2018-04-13
Well-posedness and long time behavior of singular Langevin stochastic differential equations
In this paper, we study damped Langevin stochastic differential equations with singular velocity fields. We prove the strong well-posedness of such equations. Moreover, by combining the technique of Lyapunov functions with Krylov's estimate, we also establish the exponential ergodicity for the unique strong solution.
1804.05086v2
2018-04-27
Contribution of phase-mixing of Alfvén waves to coronal heating in multi-harmonic loop oscillations
Kink oscillations of a coronal loop are observed and studied in detail because they provide a unique probe into the structure of coronal loops through MHD seismology and a potential test of coronal heating through the phase-mixing of Alfv\'en waves. In particular, recent observations show that standing oscillations of ...
1804.10562v1
2018-05-23
Effect of time varying transmission rates on coupled dynamics of epidemic and awareness over multiplex network
In the present work, a non-linear stochastic model is presented to study the effect of time variation of transmission rates on the co-evolution of epidemics and its corresponding awareness over a two layered multiplex network. In this model, the infection transmission rate of a given node in the epidemic layer depends ...
1805.08947v2
2018-06-09
Recovery Analysis of Damped Spectrally Sparse Signals and Its Relation to MUSIC
One of the classical approaches for estimating the frequencies and damping factors in a spectrally sparse signal is the MUSIC algorithm, which exploits the low-rank structure of an autocorrelation matrix. Low-rank matrices have also received considerable attention recently in the context of optimization algorithms with...
1806.03511v5
2018-07-13
N-body simulations of structure formation in thermal inflation cosmologies
Thermal inflation models (which feature two inflationary stages) can display damped primordial curvature power spectra on small scales which generate damped matter fluctuations. For a reasonable choice of parameters, thermal inflation models naturally predict a suppression of the matter power spectrum on galactic and s...
1807.04980v2
2018-07-16
Global existence for semilinear damped wave equations in relation with the Strauss conjecture
We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$. In addition, we prove almost global existence with sharp lower bound of the lifespan for the four dimension...
1807.05908v1
2018-07-20
Effect of correlated noise channels on quantum speed limit
We study the effect of correlated Markovian noise channels on the quantum speed limit of an open system. This is done for correlated dephasing and amplitude damping channels for a two qubit atomic model. Our model serves as a platform for a detailed study of speed of quantum evolution in correlated open systems.
1807.07782v2
2018-08-20
Local existence of Strong solutions for a fluid-structure interaction model
We are interested in studying a system coupling the compressible Navier-Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler-Bernoulli dam...
1808.06716v1
2018-09-04
Creation of bipartite steering correlations by a fast damped auxiliary mode
We consider a three-mode system and show how steering correlations can be created between two modes of the system using the fast dissipation of the third mode. These correlations result in a directional form of entanglement, called quantum or EPR steering. We illustrate this on examples of the interactions among damped...
1809.01176v1
2018-10-06
Global Well-Posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation
The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in $H^s({\mathbb{R}^2})$ for all $\frac{5}{7}<s<1$ via using $I$-method in the context of atomic spaces. By means of the increment of modified energy, the exsitence of global attractor for weakly damped, forced ...
1810.02984v1
2018-10-07
Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions
We give a detailed study of attractors for measure driven quintic damped wave equations with periodic boundary conditions. This includes uniform energy-to-Strichartz estimates, the existence of uniform attractors in a weak or strong topology in the energy phase space, the possibility to present them as a union of all c...
1810.03149v1
2018-10-13
Exponential Decay in a Timoshenko-type System of Thermoelasticity of Type III with Frictional versus Viscoelatic Damping and Delay
In this work, a Timoshenko system of type III of thermoelasticity with frictional versus viscoelastic under Dirichlet-Dirichlet-Neumann boundary conditions was considered. By exploiting energy method to produce a suitable Lyapunov functional, we establish the global existence, exponential decay of Type-III case.
1810.05820v1
2018-12-22
Damping of acoustic waves in straight ducts and turbulent flow conditions
In this paper the propagation of acoustic plane waves in turbulent, fully developed flow is studied by means of an experimental investigation carried out in a straight, smooth-walled duct.The presence of a coherent perturbation, such as an acoustic wave in a turbulent confined flow, generates the oscillation of the wal...
1812.11063v1
2019-01-30
Transverse waves in coronal flux tubes with thick boundaries: The effect of longitudinal flows
Observations show that transverse magnetohydrodynamic (MHD) waves and flows are often simultaneously present in magnetic loops of the solar corona. The waves are resonantly damped in the Alfv\'en continuum because of plasma and/or magnetic field nonuniformity across the loop. The resonant damping is relevant in the con...
1901.10785v1
2019-02-07
Violent relaxation in the Hamiltonian Mean Field model: I. Cold collapse and effective dissipation
In $N$-body systems with long-range interactions mean-field effects dominate over binary interactions (collisions), so that relaxation to thermal equilibrium occurs on time scales that grow with $N$, diverging in the $N\to\infty$ limit. However, a faster and non-collisional relaxation process, referred to as violent re...
1902.02436v2
2019-05-16
Boundary control of partial differential equations using frequency domain optimization techniques
We present a frequency domain based $H_\infty$-control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, where controllers are constrained to be physically implementable and of simple structure suited for practical applications. The efficiency of ...
1905.06786v1
2019-05-20
Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases
We obtain sharp $L^p$ bounds for oscillatory integral operators with generic homogeneous polynomial phases in several variables. The phases considered in this paper satisfy the rank one condition which is an important notion introduced by Greenleaf, Pramanik and Tang. Under certain additional assumptions, we can establ...
1905.07980v1
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
2019-06-19
Accurate Lindblad-Form Master Equation for Weakly Damped Quantum Systems Across All Regimes
Realistic models of quantum systems must include dissipative interactions with an environment. For weakly-damped systems the Lindblad-form Markovian master equation is invaluable for this task due to its tractability and efficiency. This equation only applies, however, when the frequencies of any subset of the system's...
1906.08279v2
2019-07-10
Heuristic construction of codeword stabilized codes
The family of codeword stabilized codes encompasses the stabilizer codes as well as many of the best known nonadditive codes. However, constructing optimal $n$-qubit codeword stabilized codes is made difficult by two main factors. The first of these is the exponential growth with $n$ of the number of graphs on which a ...
1907.04537v2
2019-07-10
Exponential stability for the nonlinear Schrödinger equation on a star-shaped network
In this paper, we prove the exponential stability of the solution of the nonlinear dissipative Schr\"odinger equation on a star-shaped network and where the damping is localized on one branch and at the infinity.
1907.04950v1
2019-07-22
Role of charge equilibration in multinucleon transfer in damped collisions of heavy ions
In this work, the charge equilibration process has been analyzed within the Langevin-type dynamical approach. Its duration and energy dependence are discussed. We have analyzed the isotopic distributions of final products obtained in the isospin-asymmetric 58Ni,40Ca + 208Pb reactions. Comparison of 58Ni,64Ni + 208Pb sy...
1907.09352v1
2019-09-25
Neutrino decoherence in a fermion and scalar background
We consider the decoherence effects in the propagation of neutrinos in a background composed of a scalar particle and a fermion due to the non-forward neutrino scattering processes. Using a simple model for the coupling of the form $\bar f_R\nu_L\phi$ we calculate the contribution to the imaginary part of the neutrino ...
1909.11271v2
2019-11-21
Special Itô maps and an $L^2$ Hodge theory for one forms on path spaces
We prove a Kodaira-Hodge decomposition on differential 1-forms on the space of non-smooth paths over a Riemannian manifold, allowing us to define the corresponding first cohomology group. This uses the It\^o map of a Brownian system and damped stochastic parallel translation.
1911.09618v1
2019-12-03
The global classical solution to compressible Euler system with velocity alignment
In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initia...
1912.01374v1
2019-12-23
Signal Analysis using Born-Jordan-type Distribution
In this note we exhibit recent advances in signal analysis via time-frequency distributions. New members of the Cohen class, generalizing the Wigner distribution, reveal to be effective in damping artefacts of some signals. We will survey their main properties and drawbacks and present open problems related to such phe...
1912.11387v1
2020-01-15
Weak pseudo-bosons
We show how the notion of {\em pseudo-bosons}, originally introduced as operators acting on some Hilbert space, can be extended to a distributional settings. In doing so, we are able to construct a rather general framework to deal with generalized eigenvectors of the multiplication and of the derivation operators. Conn...
2001.05219v1
2020-02-18
Boundary feedback control of an anti-stable wave equation
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling...
2002.07567v1
2020-03-23
Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution
In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping $\frac{2}{1+t}\partial_t v$ and a cubic convolution $(|x|^{-\gamma}*v^2)v$ with $\gamma\in \left(-\frac{1}{2},3\right)$ in three spatial dimension for initial data $\left(v(x,0),\partial_tv(x,0)\right)\...
2003.10329v2
2020-06-29
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
The paper studies the global existence and general decay of solutions using Lyaponov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow up of solutions with nonpositive initial energy.
2006.16325v1
2020-07-19
Entanglement-Coherence and Discord-Coherence analytical relations for X states
In this work we derive analytical relations between Entanglement and Coherence as well as between Discord and Coherence, for Bell-diagonal states and for X states, evolving under the action of several noise channels: Bit Flip, Phase Damping and Depolarizing. We demonstrate that for these families, Coherence is the fund...
2007.09792v1
2020-08-08
Linear Stability of the 2D Irrotational Circulation Flow around An Elliptical Cylinder
In this article we prove a linear inviscid damping result with optimal decay rates of the 2D irrotational circulation flow around an elliptical cylinder. In our result, all components of the asymptotic velocity field do not vanish and the asymptotic flow lines are not ellipse any more.
2008.03451v1
2020-08-29
Exploring a quantum-information-relevant magnonic material: Ultralow damping at low temperature in the organic ferrimagnet V[TCNE]x
Quantum information science and engineering requires novel low-loss magnetic materials for magnon-based quantum-coherent operations. The search for low-loss magnetic materials, traditionally driven by applications in microwave electronics near room-temperature, has gained additional constraints from the need to operate...
2008.13061v3
2020-09-01
On the first $δ$ Sct--roAp hybrid pulsator and the stability of p and g modes in chemically peculiar A/F stars
Strong magnetic fields in chemically peculiar A-type (Ap) stars typically suppress low-overtone pressure modes (p modes) but allow high-overtone p modes to be driven. KIC 11296437 is the first star to show both. We obtained and analysed a Subaru spectrum, from which we show that KIC 11296437 has abundances similar to o...
2009.00730v1
2020-09-24
The eccentricity distribution of giant planets and their relation to super-Earths in the pebble accretion scenario
Observations of the population of cold Jupiter planets ($r>$1 AU) show that nearly all of these planets orbit their host star on eccentric orbits. For planets up to a few Jupiter masses, eccentric orbits are thought to be the outcome of planet-planet scattering events taking place after gas dispersal. We simulate the g...
2009.11725v3
2020-10-12
Period Estimates for Autonomous Evolution Equations with Lipschitz Nonlinearities
We derive an estimate for the minimal period of autonomous strongly damped hyperbolic problems. Our result corresponds to the works by Yorke, Busenberg et al. for ordinary differential equations as well as Robinson and Vidal-Lopez for parabolic problems. A general approach is developed for treating both hyperbolic and ...
2010.05829v1
2020-12-16
Observation of anti-damping spin-orbit torques generated by in-plane and out-of-plane spin polarizations in MnPd3
High spin-orbit torques (SOTs) generated by topological materials and heavy metals interfaced with a ferromagnetic layer show promise for next generation magnetic memory and logic devices. SOTs generated from the in-plane spin polarization along y-axis originated by the spin Hall and Edelstein effects can switch magnet...
2012.09315v1
2021-02-15
A transmission problem for waves under time-varying delay and nonlinear weight
This manuscript focus on in the transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time-varying delay. We prove global existence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the construction of a suitab...
2102.07829v1
2021-05-16
Linear stability analysis of the Couette flow for the two dimensional non-isentropic compressible Euler equations
This note is devoted to the linear stability of the Couette flow for the non-isentropic compressible Euler equations in a domain $\mathbb{T}\times \mathbb{R}$. Exploiting the several conservation laws originated from the special structure of the linear system, we obtain a Lyapunov type instability for the density, the ...
2105.07395v1
2021-05-21
Effects of ambipolar diffusion on waves in the solar chromosphere
The chromosphere is a partially ionized layer of the solar atmosphere, the transition between the photosphere where the gas motion is determined by the gas pressure and the corona dominated by the magnetic field. We study the effect of partial ionization for 2D wave propagation in a gravitationally stratified, magnetiz...
2105.10285v1
2021-05-26
Global Attractor for the Periodic Generalized Korteweg-de Vries Equation Through Smoothing
We establish a smoothing result for the generalized KdV (gKdV) on the torus with polynomial non-linearity, damping, and forcing that matches the smoothing level for the gKdV at $H^1$. As a consequence, we establish the existence of a global attractor for this equation as well as its compactness in $H^s(\mathbb{T})$, $s...
2105.13405v2
2021-06-01
On the Well-Posedness of Two Driven-Damped Gross Pitaevskii-Type Models for Exciton-Polariton Condensates
We study the well-posedness of two systems modeling the non-equilibrium dynamics of pumped decaying Bose-Einstein condensates. In particular, we present the local theory for rough initial data using the Fourier restricted norm method introduced by Bourgain. We extend the result globally for initial data in $L^2$.
2106.00438v1
2021-06-23
On generalized damped Klein-Gordon equation with nonlinear memory
In this paper we consider the Cauchy problem for linear dissipative generalized Klein-Gordon equations with nonlinear memory in the right hand side. Our goal is to study the effect of this nonlinearity on both the decay estimates of global solutions as well as the admissible range of the exponent p.
2106.12296v1
2021-08-29
A note on the energy transfer in coupled differential systems
We study the energy transfer in the linear system $$ \begin{cases} \ddot u+u+\dot u=b\dot v\\ \ddot v+v-\epsilon \dot v=-b\dot u \end{cases} $$ made by two coupled differential equations, the first one dissipative and the second one antidissipative. We see how the competition between the damping and the antidamping mec...
2108.12776v1
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
2021-08-30
Application of Rothe's method to a nonlinear wave equation on graphs
We study a nonlinear wave equation on finite connected weighted graphs. Using Rothe's and energy methods, we prove the existence and uniqueness of solution under certain assumption. For linear wave equation on graphs, Lin and Xie \cite{Lin-Xie} obtained the existence and uniqueness of solution. The main novelty of this...
2108.12980v1
2021-09-08
Stabilisation of Waves on Product Manifolds by Boundary Strips
We show that a transversely geometrically controlling boundary damping strip is sufficient but not necessary for $t^{-1/2}$-decay of waves on product manifolds. We give a general scheme to turn resolvent estimates for impedance problems on cross-sections to wave decay on product manifolds.
2109.03928v1
2021-09-10
Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
The Cauchy problem for a nonlinear elastic wave equations with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solutions are investigated when the initial data are sufficiently small; and asymptotic profiles as $t \to \infty$ are also derived.
2109.04628v3
2021-10-04
Overdamped limit at stationarity for non-equilibrium Langevin diffusions
In this note, we establish that the stationary distribution of a possibly non-equilibrium Langevin diffusion converges, as the damping parameter goes to infinity (or equivalently in the Smoluchowski-Kramers vanishing mass limit), toward a tensor product of the stationary distribution of the corresponding overdamped pro...
2110.01238v2
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
2021-11-17
Transverse kink oscillations of inhomogeneous prominence threads: numerical analysis and H$α$ forward modelling
Prominence threads are very long and thin flux tubes which are partially filled with cold plasma. Observations have shown that transverse oscillations are frequent in these solar structures. The observations are usually interpreted as the fundamental kink mode, while the detection of the first harmonic remains elusive....
2111.09036v1
2021-11-26
A novel measurement of marginal Alfvén Eigenmode stability during high power auxiliary heating in JET
The interaction of Alfv\'{e}n Eigenmodes (AEs) and energetic particles is one of many important factors determining the success of future tokamaks. In JET, eight in-vessel antennas were installed to actively probe stable AEs with frequencies ranging 25-250 kHz and toroidal mode numbers $\vert n \vert < 20$. During the ...
2111.13569v1