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2018-11-19 | Second order linear evolution equations with general dissipation | The contraction semigroup $S(t)={\rm e}^{t\mathbb{A}}$ generated by the
abstract linear dissipative evolution equation $$ \ddot u + A u + f(A) \dot u=0
$$ is analyzed, where $A$ is a strictly positive selfadjoint operator and $f$
is an arbitrary nonnegative continuous function on the spectrum of $A$. A full
description... | 1811.07667v1 |
2018-11-21 | Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture | We investigate the non-Fermi-liquid behaviors of the 2D and 3D Dirac/Weyl
systems with low-order and higher order dispersion. The self-energy correction,
symmetry, free energy, optical conductivity, density of states, and spectral
function are studied. We found that, for Dirac/Weyl systems with higher order
dispersion,... | 1811.08809v2 |
2018-11-24 | Hot carriers generated by plasmons: where are they are generated and where do they go from there? | A physically transparent unified theory of optically and plasmon induced hot
carrier generation in metals is developed with all the relevant mechanisms
included. Analytical expressions that estimate the carrier generation rates,
their locations, energy and direction of motion are obtained. Among four
mechanisms conside... | 1811.09873v1 |
2018-12-01 | Parametric Resonance in a dissipative system á la Kronig-Penney | The competition between parametric resonance (PR) and dissipation is studied
in the damped Kronig-Penney model, with time-dependent dissipation rate
gamma(t). In the classical case, it is shown that dissipation leaves just a
finite number of PR-bands at most, suppressing those at higher frequencies. An
analysis of the ... | 1812.00189v1 |
2018-12-05 | Small-scale structure from charged leptophilia | We consider a charged leptophilic extension of the Standard Model of particle
physics as a minimal dark sector. It accomodates a WIMP paradigm at the
TeV-scale that is sufficient to solve all small-scale problems of $\Lambda$CDM
and explain the excess of highly energetic cosmic ray Standard Model electrons
and positron... | 1812.02182v1 |
2018-12-08 | Quantum interference and exceptional points | Exceptional points (EPs), i.e. branch point singularities of non-Hermitian
Hamiltonians, are ubiquitous in optics. So far, the signatures of EPs have been
mostly studied assuming classical light.
In the passive parity-time ($\mathcal{PT}$) optical coupler, a fingerprint of
EPs resulting from the coalescence of two re... | 1812.03360v1 |
2018-12-10 | Stability preserving approximations of a semilinear hyperbolic gas transport model | We consider the discretization of a semilinear damped wave equation arising,
for instance, in the modeling of gas transport in pipeline networks. For time
invariant boundary data, the solutions of the problem are shown to converge
exponentially fast to steady states. We further prove that this decay behavior
is inherit... | 1812.03726v1 |
2018-12-10 | Comment on "Negative Landau damping in bilayer graphene" | In [Phys. Rev. Lett. vol. 119, p. 133901 (2017)] it was argued that two
parallel graphene layers in the presence of electron drift support unstable
plasmon modes. Here we show that the predicted plasmon instability is an
artifact of errors upon evaluation of graphene polarizability in the presence
if electron drift. Cr... | 1812.03764v1 |
2018-12-13 | Remark on the pointwise stabilization of an elastic string equation | We consider an initial and boundary value problem the one dimensional wave
equation with damping concentrated at an interior point. We prove a result of a
logarithmic decay of the energy of a system with homogeneous Dirichlet boundary
conditions. The method used is based on the resolvent estimate approach which
derives... | 1812.05922v1 |
2018-12-18 | No unique solution to the seismological problem of standing kink MHD waves | The aim of this paper is to point out that the classic seismological problem
using observations and theoretical expressions for the periods and damping
times of transverse standing magnetohydrodynamic (MHD) waves in coronal loops
is better referred to as a reduced seismological problem. Reduced emphasises
the fact that... | 1812.07266v1 |
2019-02-01 | Contact variational integrators | We present geometric numerical integrators for contact flows that stem from a
discretization of Herglotz' variational principle. First we show that the
resulting discrete map is a contact transformation and that any contact map can
be derived from a variational principle. Then we discuss the backward error
analysis of ... | 1902.00436v4 |
2019-02-13 | Build-up of Vibron-Mediated Electron Correlations in Molecular Junctions | We investigate on the same footing the time-dependent electronic transport
properties and vibrational dynamics of a molecular junction. We show that
fluctuations of both the molecular vibron displacement and the electronic
current across the junction undergo damped oscillations towards the
steady-state. We assign the f... | 1902.04825v1 |
2019-02-20 | Stability boundary approximation of periodic dynamics | We develop here the method for obtaining approximate stability boundaries in
the space of parameters for systems with parametric excitation. The monodromy
(Floquet) matrix of linearized system is found by averaging method. For system
with 2 degrees of freedom (DOF) we derive general approximate stability
conditions. We... | 1902.09957v2 |
2019-03-04 | A continuous dependence result for a dynamic debonding model in dimension one | In this paper we address the problem of continuous dependence on initial and
boundary data for a one-dimensional debonding model describing a thin film
peeled away from a substrate. The system underlying the process couples the
weakly damped wave equation with a Griffith's criterion which rules the
evolution of the deb... | 1903.01251v3 |
2019-03-09 | On exact controllability of infinite-dimensional linear port-Hamiltonian systems | Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional
spatial domain with full boundary control and without internal damping are
studied. This class of systems includes models of beams and waves as well as
the transport equation and networks of nonhomogeneous transmission lines. The
main result show... | 1903.03819v2 |
2019-03-14 | Quantum Parametric Resonance of a dissipative oscillator: fading and persistent memory in the long-time evolution | The evolution of a quantum oscillator, with periodically varying frequency
and damping, is studied in the two cases of parametric resonance (PR) producing
a limited, or unlimited stretching of the wave function. The different
asymptotic behaviors of the energy distribution, show the non trivial interplay
between PR and... | 1903.05874v1 |
2019-03-18 | Theory of spin transport through antiferromagnetic insulator | A theoretical formulation for spin transport through an antiferromagnetic
(AF) insulator is presented in the case driven/detected by direct/inverse spin
Hall effect in two heavy metal contacts. The spin signal is shown to be
transferred by the ferromagnetic correlation function of the antiferromagnet,
which is calculat... | 1903.07223v1 |
2019-03-19 | Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate | We study systematically the quantum corrections to a weakly interacting
Bose-Einstein condensate with spin-orbit coupling. We show that quantum
fluctuations, enhanced by the spin-orbit coupling, modify quantitatively the
mean-field properties such as the superfluid density, spin polarizability, and
sound velocity. We f... | 1903.08182v3 |
2019-03-21 | Kinetic plasma waves carrying orbital angular momentum | The structure of Langmuir plasma waves carrying a finite angular orbital
momentum is revised in the paraxial optics approximation. It is shown that the
kinetic effects related to higher-order momenta of the electron distribution
function lead to coupling of Laguerre-Gaussian modes and result in modification
of the wave... | 1903.08955v1 |
2019-03-22 | Guaranteed Convergence of a Regularized Kohn-Sham Iteration in Finite Dimensions | The exact Kohn-Sham iteration of generalized density-functional theory in
finite dimensions witha Moreau-Yosida regularized universal Lieb functional and
an adaptive damping step is shown toconverge to the correct ground-state
density. | 1903.09579v3 |
2019-03-28 | Spectral function for overoccupied gluodynamics from classical lattice simulations | We study the spectral properties of an overoccupied gluonic system far from
equilibrium. Using classical Yang-Mills simulations and linear response theory,
we determine the statistical and spectral functions. We measure dispersion
relations and damping rates of transversally and longitudinally polarized
excitations in ... | 1903.11942v1 |
2019-05-03 | Cooperative Distributed Robust Control of Modular Mobile Robots with Bounded Curvature and Velocity | A novel motion control system for Compliant Framed wheeled Modular Mobile
Robots (CFMMR) is studied in this paper. This type of wheeled mobile robot uses
rigid axles coupled by compliant frame modules to provide both full suspension
and enhanced steering capability without additional hardware. The proposed
control syst... | 1905.03130v1 |
2019-05-17 | Secret objectives: promoting inquiry and tackling preconceptions in teaching laboratories | In its most general form, a `secret objective' is any inconsistency between
the experimental reality and the information provided to students prior to
starting work on an experiment. Students are challenged to identify the secret
objectives and then given freedom to explore and understand the experiment,
thus encouragi... | 1905.07267v1 |
2019-05-17 | A Dynamical Systems Perspective on Nesterov Acceleration | We present a dynamical system framework for understanding Nesterov's
accelerated gradient method. In contrast to earlier work, our derivation does
not rely on a vanishing step size argument. We show that Nesterov acceleration
arises from discretizing an ordinary differential equation with a semi-implicit
Euler integrat... | 1905.07436v1 |
2019-05-19 | Models for damped water waves | In this paper we derive some new weakly nonlinear asymptotic models
describing viscous waves in deep water with or without surface tension effects.
These asymptotic models take into account several different dissipative effects
and are obtained from the free boundary problems formulated in the works of
Dias, Dyachenko ... | 1905.07751v2 |
2019-05-21 | A generalized Complex Ginzburg-Landau Equation: global existence and stability results | We consider the complex Ginzburg-Landau equation with two pure-power
nonlinearities and a damping term. After proving a general global existence
result, we focus on the existence and stability of several periodic orbits,
namely the trivial equilibrium, bound-states and solutions independent of the
spatial variable. In ... | 1905.08521v2 |
2019-08-13 | An Analytical Approach to Eddy Current in Electromagnetic Damping | An analytical method of calculating eddy current in a metallic spinning
gyroscope in external magnetic field is presented. With reasonable assumptions,
the problem is simplified from the time-dependent one governed by Maxwell
equations to the boundary value problem of Poisson equation, which yields a
closed form expres... | 1908.04713v2 |
2019-08-15 | Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing | We study the dynamics of an Atomic Force Microscope (AFM) model, under the
Lennard-Jones force with non-linear damping, and harmonic forcing. We establish
the bifurcation diagrams for equilibria in a conservative system. Particularly,
we present conditions that guarantee the local existence of saddle-node
bifurcations.... | 1908.05777v1 |
2019-08-17 | An overview of quasinormal modes in modified and extended gravity | As gravitational waves are now being nearly routinely measured with
interferometers, the question of using them to probe new physics becomes
increasingly legitimate. In this article, we rely on a well established
framework to investigate how the complex frequencies of quasinormal modes are
affected by different models.... | 1908.06311v3 |
2019-08-18 | Uniform attractors of non-autonomous Kirchhoff wave models | The paper investigates the existence and upper semicontinuity of uniform
attractors of the perturbed non-autonomous Kirchhoff wave equations with strong
damping and supercritical nonlinearity: $u_{tt}-\Delta
u_{t}-(1+\epsilon\|\nabla u\|^{2})\Delta u+f(u)=g(x,t)$, where $\epsilon\in
[0,1]$ is a perturbed parameter. It ... | 1908.06500v1 |
2019-08-25 | An I + PI Controller Structure for Integrating Processes with Dead-Time: Application to Depth Control of an Autonomous Underwater Vehicle | The paper presents a feedforward plus feedback controller structure with I
and PI controllers for control of an integrating process with dead time.
Guidelines for controller gain selection based on time domain specifications of
damping factor and natural frequency are provided along with simulations
indicating the sele... | 1908.09250v1 |
2019-08-27 | Maxwell's lesser demon: a quantum engine driven by pointer measurements | We discuss a self-contained spin-boson model for a measurement-driven engine,
in which a demon generates work from thermal excitations of a quantum spin via
measurement and feedback control. Instead of granting it full direct access to
the spin state and to Landauer's erasure strokes for optimal performance, we
restric... | 1908.10102v2 |
2019-08-29 | Enhanced dissipation for the 2D Couette flow in critical space | We consider the 2D incompressible Navier-Stokes equations on
$\mathbb{T}\times \mathbf{R}$, with initial vorticity that is $\delta$ close in
$H^{log}_xL^2_{y}$ to $-1$(the vorticity of the Couette flow $(y,0)$). We prove
that if $\delta\ll \nu^{1/2}$, where $\nu$ denotes the viscosity, then the
solution of the Navier-S... | 1908.11035v1 |
2019-08-30 | On equilibrium radiation and zero-point fluctuations in non-relativistic electron gas | Examination of equilibrium radiation in plasma media shows that the spectral
the energy distribution of such radiation is different from the Planck
equilibrium radiation. Using the previously obtained general relations for the
spectral energy density of equilibrium radiation in a system of charged
particles, we conside... | 1909.01159v1 |
2019-09-10 | A new result for 2D boundedness of solutions to a chemotaxis--haptotaxis model with/without sub-logistic source | We consider the Neumann problem for a coupled chemotaxis-haptotaxis model of
cancer invasion with/without kinetic source in a 2D bounded and smooth domain.
For a large class of cell kinetic sources including zero source and
sub-logistic sources, we detect an explicit condition involving the chemotactic
strength, the as... | 1909.04577v1 |
2019-09-10 | Deviations from Gaussianity in deterministic discrete time dynamical systems | In this paper we examine the deviations from Gaussianity for two types of
random variable converging to a normal distribution, namely sums of random
variables generated by a deterministic discrete time map and a linearly damped
variable driven by a deterministic map. We demonstrate how Edgeworth expansions
provide a un... | 1909.04578v1 |
2019-09-17 | Microwave induced tunable subharmonic steps in superconductor-ferromagnet-superconductor Josephson junction | We investigate the coupling between ferromagnet and superconducting phase
dynamics in superconductor-ferromagnet-superconductor Josephson junction. The
current-voltage characteristics of the junction demonstrate a pattern of
subharmonic current steps which forms a devil's staircase structure. We show
that a width of th... | 1909.08004v1 |
2019-09-19 | Magnetization dynamics of the compensated ferrimagnet $Mn_{2}Ru_{x}Ga$ | Here we study both static and time-resolved dynamic magnetic properties of
the compensated ferrimagnet from room temperature down to 10K, thus crossing
the magnetic compensation temperature $T_{M}$. The behaviour is analysed with a
model of a simple collinear ferrimagnet with uniaxial anisotropy and
site-specific gyrom... | 1909.09085v1 |
2019-09-20 | $L^p$-theory for a fluid-structure interaction model | We consider a fluid-structure interaction model for an incompressible fluid
where the elastic response of the free boundary is given by a damped Kirchhoff
plate model. Utilizing the Newton polygon approach, we first prove maximal
regularity in $L^p$-Sobolev spaces for a linearized version. Based on this, we
show existe... | 1909.09344v1 |
2019-11-07 | Quantum optical levitation of a mirror | While the levitating mirror has seen renewed interest lately, relatively
little is known about its quantum behaviour. In this paper we present a quantum
theory of a one dimensional levitating mirror. The mirror forms a part of a
Fabry-Perot cavity where the circulating intracavity field supports the mirror
through radi... | 1911.02705v2 |
2019-11-22 | Lenard-Balescu correction to mean-field theory | In the mean-field regime, the evolution of a gas of $N$ interacting particles
is governed in first approximation by a Vlasov type equation with a
self-induced force field. This equation is conservative and describes return to
equilibrium only in the very weak sense of Landau damping. However, the first
correction to th... | 1911.10151v2 |
2019-11-28 | Transport properties of spin superfluids: comparing easy-plane ferro- and antiferromagnets | We present a study on spin-superfluid transport based on an atomistic,
classical spin model. Easy-plane ferro- as well as antiferromagnets are
considered, which allows for a direct comparison of these two material classes
based on the same model assumptions. We find a spin-superfluid transport which
is robust against v... | 1911.12786v1 |
2020-01-03 | Skin effect and excitation spectral of interacting non-Hermitian system | The non-Hermitian Su-Schrieffer-Heeger spinless Fermion model with
interacting terms is studied by exact diagonalization. The model is derived
from the spin chain with damping Dzyaloshinskii-Moriya interaction. The
presence of the interaction induce anomalous spectral function. The skin effect
is exhibited by the non-d... | 2001.00697v1 |
2020-01-06 | Convergence of classical optimized non-overlapping Schwarz method for Helmholtz problems in closed domains | In this paper we discuss the convergence of state-of-the-art optimized
Schwarz transmission conditions for Helmholtz problems defined on closed
domains (i.e. setups which do not exhibit an outgoing wave condition), as
commonly encountered when modeling cavities. In particular, the impact of
back-propagating waves on th... | 2001.01502v2 |
2020-01-06 | Blow-up of solutions to Nakao's problem via an iteration argument | In this paper, we consider blow-up behavior of weak solutions to a weakly
coupled system for a semilinear damped wave equation and a semilinear wave
equation in $\mathbb{R}^n$. This problem is part of the so-called Nakao's
problem proposed by Professor Mitsuhiro Nakao (Kyushu University) for a
critical relation between... | 2001.01533v2 |
2020-01-20 | Classical field model for arrays of photon condensates | We introduce a classical phasor model for the description of multimode photon
condensates that thermalize through repeated absorptions and reemissions by dye
molecules. Thermal equilibrium is expressed through the fluctuation-dissipation
relation that connects the energy damping to spontaneous emission fluctuations.
We... | 2001.07137v1 |
2020-01-13 | Obtaining the Drude Equation for Electrons in Metals Using a Fractional Variational Principle | A fractional variational principle was derived in order to be used with
lagrangians containing fractional derivatives of order 1/2. By forcing the
action associated to this type of lagrangian to be stationary, a modified
fractional Euler-Lagrange equation was obtained. This was shown to reproduce
the equations of motio... | 2001.08531v1 |
2020-02-03 | Undamped transverse electric mode in undoped two-dimensional tilted Dirac cone materials | Transverse electric (TE) modes can not propagate through the conducting
solids. This is because the continuum of particle-hole excitations of
conductors contaminates with the TE mode and dampes it out. But in solids
hosting tilted Dirac cone (TDC) that admit a description in terms of a modified
Minkowski spacetime, the... | 2002.00561v1 |
2020-02-03 | Observability and unique continuation of the adjoint of a linearized compressible fluid-structure model in a 2d channel | Our objective is to study the observability and unique continuation property
of the adjoint of a linearized compressible fluid structure interaction model
in a 2D channel. Concerning the structure we will consider a damped
Euler-Bernoulli beam located on a portion of the boundary. In the present
article we establish an... | 2002.00877v1 |
2020-02-05 | Study Zitterbewegung effect in a Quasi One-dimensional Relativistic Quantum Plasma by DHW formalization | Using Dirac equation together with the Wigner distribution function,the
trembling motion,known as Zitterbewegung effect,of moving electrons in
quasi-one-dimensional relativistic quantum plasma is theoretically
investigated.The relativistic Wigner matrix is used to calculate the mean
values of the position and velocity ... | 2002.01819v1 |
2020-02-28 | Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay | The elementary excitations of skyrmion crystals experience both emergent
magnetic fields and anharmonic interactions brought about by the topologically
nontrivial noncollinear texture. The resulting flat bands cause strong
spontaneous quasiparticle decay, dressing the eigenmodes of skyrmion crystals
with a finite zero-... | 2002.12676v1 |
2020-04-06 | Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures | In this paper, we study spectral properties and spectral enclosures for the
Gurtin-Pipkin type of integro-differential equations in several dimensions. The
analysis is based on an operator function and we consider the relation between
the studied operator function and other formulations of the spectral problem.
The the... | 2004.02828v3 |
2020-04-09 | Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation | In this paper, we construct efficient schemes based on the scalar auxiliary
variable (SAV) block-centered finite difference method for the modified phase
field crystal (MPFC) equation, which is a sixth-order nonlinear damped wave
equation. The schemes are linear, conserve mass and unconditionally dissipate a
pseudo ene... | 2004.04319v1 |
2020-04-13 | Plasma echoes near stable Penrose data | In this paper we construct particular solutions to the classical
Vlasov-Poisson system near stable Penrose initial data on $\mathbb{T} \times
\mathbb{R}$ that are a combination of elementary waves with arbitrarily high
frequencies. These waves mutually interact giving birth, eventually, to an
infinite cascade of echoes... | 2004.05984v1 |
2020-04-14 | Critical thresholds in 1D pressureless Euler-Poisson systems with varying background | The Euler Poisson equations describe important physical phenomena in many
applications such as semiconductor modeling and plasma physics. This paper is
to advance our understanding of critical threshold phenomena in such systems in
the presence of different forces. We identify critical thresholds in two damped
Euler Po... | 2004.06807v1 |
2020-04-17 | Collective coordinate study of spin wave emission from dynamic domain wall | We study theoretically the spin wave emission from a moving domain wall in a
ferromagnet. Introducing a deformation mode describing a modulation of the wall
thickness in the collective coordinate description, we show that thickness
variation couples to the spin wave linearly and induces spin wave emission. The
dominant... | 2004.08082v1 |
2020-04-14 | Reinforcement Learning Approach to Vibration Compensation for Dynamic Feed Drive Systems | Vibration compensation is important for many domains. For the machine tool
industry it translates to higher machining precision and longer component
lifetime. Current methods for vibration damping have their shortcomings (e.g.
need for accurate dynamic models). In this paper we present a reinforcement
learning based ap... | 2004.09263v1 |
2020-04-24 | Mode Converting Alfvén Waves from Magnetic Reconnection Enhancing the Energy Source for the Aurora Borealis | Previous studies have concluded that the Hall magnetic field structures
generated during magnetic reconnection are carried away by kinetic Alfv\'{e}n
waves (KAW). Here we apply a kinetic simulation with an ion/electron mass ratio
closer to its natural value and find that much-reduced damping rates permit the
KAW to con... | 2004.11755v1 |
2020-04-25 | Torque-induced dispersive readout in a weakly coupled hybrid system | We propose a quantum state readout mechanism of a weakly coupled qubit in
dispersive regime. The hybrid system consists of ferromagnetic insulator and a
superconducting qubit in a microwave cavity. The enhancement of the measurement
sensitivity is achieved by exerting torque on the ferromagnetic insulator
magnetization... | 2004.12114v1 |
2020-05-02 | Collective excitations in biased bilayer graphene: Temperature effects | We have studied the temperature effect on collective excitations in biased
bilayer graphene within random-phase approximation. From the zeros of
temperature dynamical dielectric function of the system we have found one
weakly damped plasmon mode. For a given electrostatic potential bias, at low
(high) temperature T the... | 2005.00736v2 |
2020-05-04 | Blow-up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type | In the present paper, we investigate blow-up and lifespan estimates for a
class of semilinear hyperbolic coupled system in $\mathbb{R}^n$ with
$n\geqslant 1$, which is part of the so-called Nakao's type problem weakly
coupled a semilinear damped wave equation with a semilinear wave equation with
nonlinearities of deriv... | 2005.01294v2 |
2020-05-04 | Finite time extinction for a damped nonlinear Schr{ö}dinger equation in the whole space | We consider a nonlinear Schr{\"o}dinger equation set in the whole space with
a single power of interaction and an external source. We first establish
existence and uniqueness of the solutions and then show, in low space
dimension, that the solutions vanish at a finite time. Under a smallness
hypothesis of the initial d... | 2005.01471v1 |
2020-05-05 | Tuning Rules for a Class of Port-Hamiltonian Mechanical Systems | In this extended abstract, we propose a tuning approach for nonlinear
mechanical systems to modify the behavior of the closed-loop system, where we
are particularly interested in attenuating oscillations from the transient
response. Towards this end, we inject damping into the system, and we provide
two tuning methods ... | 2005.02319v2 |
2020-05-14 | An SQP method for equality constrained optimization on manifolds | We extend the class of SQP methods for equality constrained optimization to
the setting of differentiable manifolds. The use of retractions and
stratifications allows us to pull back the involved mappings to linear spaces.
We study local quadratic convergence to minimizers. In addition we present a
composite step metho... | 2005.06844v1 |
2020-05-29 | A minimizing-movements approach to GENERIC systems | We present a new time discretization scheme adapted to the structure of
GENERIC systems. The scheme is variational in nature and is based on a
conditional incremental minimization. The GENERIC structure of the scheme
provides stability and convergence of the scheme. We prove that the scheme can
be rigorously implemente... | 2005.14437v1 |
2020-06-01 | A global existence result for a semilinear wave equation with lower order terms on compact Lie groups | In this paper, we study the semilinear wave equation with lower order terms
(damping and mass) and with power type nonlinearity $|u|^p$ on compact Lie
groups. We will prove the global in time existence of small data solutions in
the evolution energy space without requiring any lower bounds for $p>1$. In our
approach, w... | 2006.00759v1 |
2020-06-20 | Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator | In this paper, it is proposed a quantization procedure for the
one-dimensional harmonic oscillator with time-dependent frequency,
time-dependent driven force, and time-dependent dissipative term. The method is
based on the construction of dynamical invariants previously proposed by the
authors, in which fundamental imp... | 2006.11637v1 |
2020-06-24 | Resonances in pulsatile channel flow with an elastic wall | Interactions between fluids and elastic solids are ubiquitous in application
ranging from aeronautical and civil engineering to physiological flows. Here we
study the pulsatile flow through a two-dimensional Starling resistor as a
simple model for unsteady flow in elastic vessels. We numerically solve the
equations gov... | 2006.13695v2 |
2020-06-22 | A mathematical walk into the paradox of Bloch oscillations | We describe mathematically the apparently paradoxical phenomenon that an
electronic current in a semiconductor can flow because of collisions, and not
despite them. A transport model of charge transport in a one-dimensional
semiconductor crystal is considered, where each electron follows the periodic
hamiltonian trajec... | 2006.13703v1 |
2020-07-01 | Feedback control for random, linear hyperbolic balance laws | We design the controls of physical systems that are faced by uncertainties.
The system dynamics are described by random hyperbolic balance laws. The
control aims to steer the system to a desired state under uncertainties. We
propose a control based on Lyapunov stability analysis of a suitable series
expansion of the ra... | 2007.00526v4 |
2020-07-08 | Computational Semi-Discrete Optimal Transport with General Storage Fees | We propose and analyze a modified damped Newton algorithm to solve the
semi-discrete optimal transport with storage fees. We prove global linear
convergence for a wide range of storage fee functions, the main assumption
being that each warehouse's storage costs are independent. We show that if $F$
is an arbitrary stora... | 2007.03830v1 |
2020-07-08 | Stabilizing entanglement in two-mode Gaussian states | We analyze the stabilizability of entangled two-mode Gaussian states in three
benchmark dissipative models: local damping, dissipators engineered to preserve
two-mode squeezed states, and cascaded oscillators. In the first two models, we
determine principal upper bounds on the stabilizable entanglement, while in the
la... | 2007.04004v2 |
2020-07-16 | Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay | The purpose of this paper is to investigate the stabilization of a
one-dimensional coupled wave equations with non smooth localized viscoelastic
damping of Kelvin-Voigt type and localized time delay. Using a general criteria
of Arendt-Batty, we show the strong stability of our system in the absence of
the compactness o... | 2007.08316v1 |
2020-07-05 | Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation | This paper deals with the stability analysis of a nonlinear time-delayed
dispersive equation of order four. First, we prove the well-posedness of the
system and give some regularity results. Then, we show that the zero solution
of the system exponentially converges to zero when the time tends to infinity
provided that ... | 2007.12598v1 |
2020-07-27 | Oscillations of skyrmion clusters in Co/Pt multilayer nanodots | In this work we study the oscillations of the skyrmion cores in a multilayer
nanodot as a function of the number of skyrmions hosted in the system. When all
the skyrmions in the nanodot have the same core radius, and after applying a
perpendicular spin-polarized current, a relaxation process takes place towards
an equi... | 2007.13651v1 |
2021-02-01 | Comment on "Deformed Fokker-Planck equation: inhomogeneous medium with a position-dependent mass" | In a recent paper by B. G. da Costa {\it et al.} [Phys. Rev. E 102,
062105(2020)], the phenomenological Langevin equation and the corresponding
Fokker-Planck equation for an inhomogeneous medium with a position-dependent
particle mass and position-dependent damping coefficient have been studied. The
aim of this comment... | 2102.00699v1 |
2021-02-05 | Nonequilibrium statistical mechanics of crystals | The local equilibrium approach previously developed by the Authors [J.
Mabillard and P. Gaspard, J. Stat. Mech. (2020) 103203] for matter with broken
symmetries is applied to crystalline solids. The macroscopic hydrodynamics of
crystals and their local thermodynamic and transport properties are deduced
from the microsc... | 2102.03096v1 |
2021-06-09 | Time scaling and quantum speed limit in non-Hermitian Hamiltonians | We report on a time scaling technique to enhance the performances of quantum
protocols in non-Hermitian systems. The considered time scaling involves no
extra-couplings and yields a significant enhancement of the quantum fidelity
for a comparable amount of resources. We discuss the application of this
technique to quan... | 2106.05155v1 |
2021-06-15 | Dynamical representations of constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions | We present new approaches for solving constrained multicomponent nonlinear
Schr\"odinger equations in arbitrary dimensions. The idea is to introduce an
artificial time and solve an extended damped second order dynamic system whose
stationary solution is the solution to the time-independent nonlinear
Schr\"odinger equat... | 2106.08010v1 |
2021-06-22 | Analysis of a High-Dimensional Extended B92 Protocol | Quantum key distribution (QKD) allows two parties to establish a shared
secret key that is secure against all-powerful adversaries. One such protocol
named B92 is quite appealing due to its simplicity but is highly sensitive to
channel noise. In this work, we investigate a high-dimensional variant of an
extended versio... | 2106.11460v1 |
2021-06-23 | Universal unitary transfer of continuous-variable quantum states into a few qubits | We present a protocol for transferring arbitrary continuous-variable quantum
states into a few discrete-variable qubits and back. The protocol is
deterministic and utilizes only two-mode Rabi-type interactions which are
readily available in trapped-ion and superconducting circuit platforms. The
inevitable errors caused... | 2106.12272v1 |
2021-06-28 | Global well-posedness and inviscid limits of the generalized Oldroyd type models | We obtain the global small solutions to the generalized Oldroyd-B model
without damping on the stress tensor in $\mathbb{R}^n$. Our result give
positive answers partially to the question proposed by Elgindi and Liu (Remark
2 in Elgindi and Liu [J Differ Equ 259:1958--1966, 2015)]. The proof relies
heavily on the trick ... | 2106.14785v1 |
2021-07-07 | Linear stability of the Couette flow for the non-isentropic compressible fluid | We are concerned with the linear stability of the Couette flow for the
non-isentropic compressible Navier-Stokes equations with vanished shear
viscosity in a domain $\mathbb{T}\times \mathbb{R}$. For a general initial data
settled in Sobolev spaces, we obtain a Lyapunov type instability of the
density, the temperature,... | 2107.03268v1 |
2021-07-05 | The q-Levenberg-Marquardt method for unconstrained nonlinear optimization | A q-Levenberg-Marquardt method is an iterative procedure that blends a
q-steepest descent and q-Gauss-Newton methods. When the current solution is far
from the correct one the algorithm acts as the q-steepest descent method.
Otherwise the algorithm acts as the q-Gauss-Newton method. A damping parameter
is used to inter... | 2107.03304v1 |
2021-07-08 | Fractional powers approach of operators for higher order abstract Cauchy problems | In this paper we explore the theory of fractional powers of non-negative (and
not necessarily self-adjoint) operators and its amazing relationship with the
Chebyshev polynomials of the second kind to obtain results of existence,
regularity and behavior asymptotic of solutions for linear abstract evolution
equations of ... | 2107.04148v1 |
2021-07-19 | Decoherence in the three-state quantum walk | Quantum walks are dynamic systems with a wide range of applications in
quantum computation and quantum simulation of analog systems, therefore it is
of common interest to understand what changes from an isolated process to one
embedded in an environment. In the present work, we analyze the decoherence in
a three-state ... | 2107.09124v1 |
2021-07-23 | Surface-induced reduction of the switching field in nanomagnets | Magnetization reversal in a many-spin nanomagnet subjected to an rf magnetic
field, on top of a DC magnetic field, is studied by numerically solving the
system of coupled (damped) Landau-Lifshitz equations. It is demonstrated that
spin-misalignment induced by surface anisotropy favors switching with a DC
magnetic field... | 2107.11407v3 |
2021-07-30 | Fine structure of current noise spectra in nanoelectromechanical resonators | We study frequency dependent noise of a suspended carbon nanotube quantum dot
nanoelectromechanical resonator induced by electron-vibration coupling. By
using rigorous Keldysh diagrammatic technique, we build a formal framework to
connect the vibration properties and the electrical measurement. We find that
the noise p... | 2107.14788v1 |
2021-11-04 | Approximating Invertible Maps by Recovery Channels: Optimality and an Application to Non-Markovian Dynamics | We investigate the problem of reversing quantum dynamics, specifically via
optimal Petz recovery maps. We focus on typical decoherence channels, such as
dephasing, depolarizing and amplitude damping. We illustrate how well a
physically implementable recovery map simulates an inverse evolution. We extend
this idea to ex... | 2111.02975v2 |
2021-11-05 | Traveling waves near Couette flow for the 2D Euler equation | In this paper we reveal the existence of a large family of new, nontrivial
and smooth traveling waves for the 2D Euler equation at an arbitrarily small
distance from the Couette flow in $H^s$, with $s<3/2$, at the level of the
vorticity. The speed of these waves is of order 1 with respect to this
distance. This result ... | 2111.03529v1 |
2021-11-09 | Determination of source and initial values for acoustic equations with a time-fractional attenuation | We consider the inverse problem of determining the initial states or the
source term of a hyperbolic equation damped by some non-local time-fractional
derivative. This framework is relevant to medical imaging such as
thermoacoustic or photoacoustic tomography. We prove a stability estimate for
each of these two problem... | 2111.05240v1 |
2021-11-10 | Energy decay for a system of Schr{ö}dinger equations in a wave guide | We prove exponential decay for a system of two Schr{\"o}dinger equations in a
wave guide, with coupling and damping at the boundary. This relies on the
spectral analysis of the corresponding coupled Schr{\"o}dinger operator on the
one-dimensional cross section. We show in particular that we have a spectral
gap and that... | 2111.05580v1 |
2021-11-18 | Antiferromagnetic Resonance Revisited: Dissipative Coupling without Dissipation | The antiferromagnet is a closed Hermitian system, we find that its
excitations, even in the absence of dissipation, can be viewed as a
non-Hermitian system with dissipative coupling. Consequently, the
antiferromagnetic resonance spectrum does not show the typical level repulsion,
but shows the level attraction -- a cha... | 2111.09682v1 |
2021-11-24 | Photo-induced Macro/Mesoscopic Scale Ion Segregation in Mixed-Halide Perovskites: Ring Structure and Ionic Plasma Oscillations | Contrary to the common belief that light-induced halide ion segregation in a
mixed halide al-loy occurs within the illuminated area, we find that the Br
ions released by light diffuse away from the area, which generates a
counter-balancing Coulombic force between the anion deficit and surplus region,
together resulting... | 2111.12627v1 |
2021-11-25 | Spectral analysis and stabilization of the dissipative Schrödinger operator on the tadpole graph | We consider the damped Schr\"odinger semigroup $e^{-it \frac{d^2}{dx^2}}$ on
the tadpole graph ${\mathcal R}$. We first give a careful spectral analysis and
an appropriate decomposition of the kernel of the resolvent. As a consequence
and by showing that the generalized eigenfunctions form a Riesz basis of some
subspac... | 2111.13227v1 |
2022-07-11 | Antiferromagnetic resonance in $α$-Fe$_2$O$_3$ up to its Néel temperature | Hematite ($\alpha$-Fe$_2$O$_3$) is an antiferromagnetic material with a very
low spin damping and high N\'eel temperature. The temperature dependence of the
antiferromagnetic resonance in a bulk single crystal of hematite was
characterized from room temperature up to the N\'eel temperature in the
frequency range of 0.1... | 2207.05039v1 |
2022-07-12 | Heavy-quark potential in Gribov-Zwanziger approach around deconfinement phase transition | The interaction potential between a pair of heavy quarks is calculated with
resummed perturbation method in Gribov-Zwanziger approach at finite
temperature. The resummed loop correction makes the potential complex. While
the real part is, as expected, screened and becomes short-ranged in hot medium,
the strength of the... | 2207.05402v1 |
2022-07-20 | Oscillating states of driven Langevin systems in large viscous regime | We employ an appropriate perturbative scheme in the large viscous regime to
study oscillating states in driven Langevin systems. We explicitly determine
oscillating state distribution of under-damped Brownian particle subjected to
thermal, viscous and potential drives to linear order in anharmonic
perturbation. We also... | 2207.09773v1 |
2022-07-26 | Modeling compressed turbulent plasma with rapid viscosity variations | We propose two-equations models in order to capture the dynamics of a
turbulent plasma undergoing compression and experiencing large viscosity
variations.
The models account for possible relaminarization phases and rapid viscosity
changes through closures dependent on the turbulent Reynolds and on the
viscosity Froud... | 2207.12680v1 |
2017-04-02 | From Exoplanets to Quasars: Adventures in Angular Differential Imaging | Angular differential imaging provides a novel way of probing the high
contrast of our universe. Until now, its applications have been primarily
localized to searching for exoplanets around nearby stars. This work presents a
suite of applications of angular differential imaging from the theoretical
underpinning of data ... | 1704.00317v1 |
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