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2017-08-21 | A remark on the critical exponent for the semilinear damped wave equation on the half-space | In this short notice, we prove the non-existence of global solutions to the
semilinear damped wave equation on the half-space, and we determine the
critical exponent for any space dimension. | 1708.06429v1 |
2017-08-24 | Nonlinear network dynamics for interconnected micro-grids | This paper deals with transient stability in interconnected micro-grids. The
main contribution involves i) robust classification of transient dynamics for
different intervals of the micro-grid parameters (synchronization, inertia, and
damping); ii) exploration of the analogies with consensus dynamics and bounds
on the ... | 1708.07296v1 |
2017-12-04 | Radiative seesaw models linking to dark matter candidates inspired by the DAMPE excess | We propose two possibilities to explain an excess of electron/positron flux
around 1.4 TeV recently reported by Dark Matter Explore (DAMPE) in the
framework of radiative seesaw models where one of them provides a fermionic
dark matter candidate, and the other one provides a bosonic dark matter
candidate. We also show u... | 1712.00941v1 |
2018-01-06 | Multiscale analysis of semilinear damped stochastic wave equations | In this paper we proceed with the multiscale analysis of semilinear damped
stochastic wave motions. The analysis is made by combining the well-known sigma
convergence method with its stochastic counterpart, associated to some
compactness results such as the Prokhorov and Skorokhod theorems. We derive the
equivalent mod... | 1801.02036v1 |
2018-07-06 | Global existence for the 3-D semilinear damped wave equations in the scattering case | We study the global existence of solutions to semilinear damped wave
equations in the scattering case with derivative power-type nonlinearity on
(1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea
is to exploit local energy estimate, together with local existence to convert
the parameter $\m... | 1807.02403v1 |
2018-09-22 | Asymptotic behavior of solutions to 3D incompressible Navier-Stokes equations with damping | In this paper, we study the upper bound of the time decay rate of solutions
to the Navier-Stokes equations and generalized Navier-Stokes equations with
damping term $|u|^{\beta-1}u$ ($\beta>1$) in $\mathbb{R}^3$. | 1809.08394v2 |
2018-10-22 | Optimal leading term of solutions to wave equations with strong damping terms | We analyze the asymptotic behavior of solutions to wave equations with strong
damping terms. If the initial data belong to suitable weighted $L^1$ spaces,
lower bounds for the difference between the solutions and the leading terms in
the Fourier space are obtained, which implies the optimality of expanding
methods and ... | 1810.09114v1 |
2018-10-29 | Apples with Apples comparison of 3+1 conformal numerical relativity schemes | This paper contains a comprehensive comparison catalog of `Apples with
Apples' tests for the BSSNOK, CCZ4 and Z4c numerical relativity schemes, with
and without constraint damping terms for the latter two. We use basic numerical
methods and reach the same level of accuracy as existing results in the
literature. We find... | 1810.12346v1 |
2018-11-07 | Statistical complexity of the quasiperiodical damped systems | We consider the concept of statistical complexity to write the
quasiperiodical damped systems applying the snapshot attractors. This allows us
to understand the behaviour of these dynamical systems by the probability
distribution of the time series making a difference between the regular, random
and structural complexi... | 1811.02958v1 |
2018-12-13 | Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping | We consider the problem of pointwise stabilization of a one-dimensional wave
equation with an internal spatially varying anti-damping term. We design a
feedback law based on the backstepping method and prove exponential stability
of the closed-loop system with a desired decay rate. | 1812.11035v1 |
2019-01-20 | Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation | Existence of stationary point vortices solution to the damped and
stochastically driven Euler's equation on the two dimensional torus is proved,
by taking limits of solutions with finitely many vortices. A central limit
scaling is used to show in a similar manner the existence of stationary
solutions with white noise m... | 1901.06744v1 |
2019-03-13 | Solar $p$-mode damping rates: insight from a 3D hydrodynamical simulation | Space-borne missions CoRoT and Kepler have provided a rich harvest of
high-quality photometric data for solar-like pulsators. It is now possible to
measure damping rates for hundreds of main-sequence and thousands of red-giant.
However, among the seismic parameters, mode damping rates remain poorly
understood and thus ... | 1903.05479v1 |
2019-04-15 | Carleman estimate for an adjoint of a damped beam equation and an application to null controllability | In this article we consider a control problem of a linear Euler-Bernoulli
damped beam equation with potential in dimension one with periodic boundary
conditions. We derive a new Carleman estimate for an adjoint of the equation
under consideration. Then using a well known duality argument we obtain
explicitly the contro... | 1904.07038v1 |
2019-05-01 | Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions | In this paper we study the Cauchy problem for doubly dissipative elastic
waves in two space dimensions, where the damping terms consist of two different
friction or structural damping. We derive energy estimates and diffusion
phenomena with different assumptions on initial data. Particularly, we find the
dominant influ... | 1905.00257v1 |
2019-06-21 | Unique determination of the damping coefficient in the wave equation using point source and receiver data | In this article, we consider the inverse problems of determining the damping
coefficient appearing in the wave equation. We prove the unique determination
of the coefficient from the data coming from a single coincident
source-receiver pair. Since our problem is under-determined, so some extra
assumption on the coeffic... | 1906.08987v1 |
2019-07-12 | Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains | We prove Lr-estimates on periodic solutions of periodically-forced,
linearly-damped mechanical systems with polynomially-bounded potentials. The
estimates are applied to obtain a non-existence result of periodic solutions in
bounded domains, depending on an upper bound on the gradient of the potential.
The results are ... | 1907.05778v1 |
2019-09-02 | On the inclusion of damping terms in the hyperbolic MBO algorithm | The hyperbolic MBO is a threshold dynamic algorithm which approximates
interfacial motion by hyperbolic mean curvature flow. We introduce a
generalization of this algorithm for imparting damping terms onto the equation
of motion. We also construct corresponding numerical methods, and perform
numerical tests. We also us... | 1909.00552v1 |
2019-09-07 | Lindblad dynamics of the damped and forced quantum harmonic oscillator: General solution | The quantum dynamics of a damped and forced harmonic oscillator described by
a Lindblad master equation is analyzed. The master equation is converted into a
matrix-vector representation and the resulting non-Hermitian Schr\"odinger
equation is solved by Lie-algebraic techniques allowing the construction of the
general ... | 1909.03206v1 |
2019-10-17 | Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms | We prove the global existence of small data solution in all space dimension
for weakly coupled systems of semi-linear effectively damped wave, with
different time-dependent coefficients in the dissipation terms. Moreover,
nonlinearity terms $ f(t,u) $ and $ g(t,v) $ satisfying some properties of the
parabolic equation.... | 1910.07731v1 |
2019-11-01 | Convergence of a damped Newton's method for discrete Monge-Ampere functions with a prescribed asymptotic cone | We prove the convergence of a damped Newton's method for the nonlinear system
resulting from a discretization of the second boundary value problem for the
Monge-Ampere equation. The boundary condition is enforced through the use of
the notion of asymptotic cone. The differential operator is discretized based
on a parti... | 1911.00260v2 |
2019-12-17 | Comment on "On the Origin of Frictional Energy Dissipation" | In their interesting study (Ref. [1]) Hu et al have shown that for a simple
"harmonium" solid model the slip-induced motion of surface atoms is close to
critically damped. This result is in fact well known from studies of
vibrational damping of atoms and molecules at surfaces. However, for real
practical cases the situ... | 1912.07799v1 |
2020-01-23 | Nonlinear inviscid damping for a class of monotone shear flows in finite channel | We prove the nonlinear inviscid damping for a class of monotone shear flows
in $T\times [0,1]$ for initial perturbation in Gevrey-$1/s$($s>2$) class with
compact support. The main idea of the proof is to use the wave operator of a
slightly modified Rayleigh operator in a well chosen coordinate system. | 2001.08564v1 |
2020-02-26 | Bistability in the dissipative quantum systems I: Damped and driven nonlinear oscillator | We revisit quantum dynamics of the damped and driven nonlinear oscillator. In
the classical case this system has two stationary solutions (the limit cycles)
in the certain parameter region, which is the origin of the celebrated
bistability phenomenon. The quantum-classical correspondence for the oscillator
dynamics is ... | 2002.11373v1 |
2020-04-08 | Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass | We consider the linear wave equation with the time-dependent scale-invariant
damping and mass. We also treat the corresponding equation with the energy
critical nonlinearity. Our aim is to show that the solution scatters to a
modified linear wave solution and to obtain its asymptotic order. | 2004.03832v2 |
2020-04-24 | Infinite energy solutions for weakly damped quintic wave equations in $\mathbb{R}^3$ | The paper gives a comprehensive study of infinite-energy solutions and their
long-time behavior for semi-linear weakly damped wave equations in
$\mathbb{R}^3$ with quintic nonlinearities. This study includes global
well-posedness of the so-called Shatah-Struwe solutions, their dissipativity,
the existence of a locally ... | 2004.11864v1 |
2020-07-30 | Delta shock solution to the generalized one-dimensional zero-pressure gas dynamics system with linear damping | In this paper, we propose a time-dependent viscous system and by using the
vanishing viscosity method we show the existence of delta shock solution for a
particular $2 \times 2$ system of conservation laws with linear damping. | 2007.15184v2 |
2020-08-06 | On global attractors for 2D damped driven nonlinear Schrödinger equations | Well-posedness and global attractor are established for 2D damped driven
nonlinear Schr\"odinger equation with almost periodic pumping in a bounded
region. The key role is played by a novel application of the energy equation. | 2008.02741v1 |
2020-08-30 | Influence of dissipation on extreme oscillations of a forced anharmonic oscillator | Dynamics of a periodically forced anharmonic oscillator (AO) with cubic
nonlinearity, linear damping, and nonlinear damping, is studied. To begin with,
the authors examine the dynamics of an AO. Due to this symmetric nature, the
system has two neutrally stable elliptic equilibrium points in positive and
negative potent... | 2008.13172v1 |
2020-09-16 | Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback | In this paper we study a class of semilinear wave type equations with
viscoelastic damping and delay feedback with time variable coefficient. By
combining semigroup arguments, careful energy estimates and an iterative
approach we are able to prove, under suitable assumptions, a well-posedness
result and an exponential ... | 2009.07777v1 |
2020-09-18 | Vanishing viscosity limit for Riemann solutions to a $2 \times 2$ hyperbolic system with linear damping | In this paper, we propose a time-dependent viscous system and by using the
vanishing viscosity method we show the existence of %delta shock solution
solutions for the Riemann problem to a particular $2 \times 2$ system of
conservation laws with linear damping. | 2009.09041v1 |
2020-11-28 | A Smoluchowski-Kramers approximation for an infinite dimensional system with state-dependent damping | We study the validity of a Smoluchowski-Kramers approximation for a class of
wave equations in a bounded domain of $\mathbb{R}^n$ subject to a
state-dependent damping and perturbed by a multiplicative noise. We prove that
in the small mass limit the solution converges to the solution of a stochastic
quasilinear parabol... | 2011.14236v2 |
2020-12-13 | Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping | This paper concerns the well-posedness and uniform stabilization of the
Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of
global weak solutions for this problem is established by using the Galerkin
method. Meanwhile, under a clever use of the multiplier method, we estimate the
total energy decay... | 2012.07109v3 |
2021-03-24 | On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation | This paper considers the damped periodic Korteweg-de Vries (KdV) equation in
the presence of a white-in-time and spatially smooth stochastic source term and
studies the long-time behavior of solutions. We show that the integrals of
motion for KdV can be exploited to prove regularity and ergodic properties of
invariant ... | 2103.12942v2 |
2021-04-21 | On absorbing set for 3D Maxwell--Schrödinger damped driven equations in bounded region | We consider the 3D damped driven Maxwell--Schr\"odinger equations in a
bounded region under suitable boundary conditions. We establish new a priori
estimates, which provide the existence of global finite energy weak solutions
and bounded absorbing set. The proofs rely on the Sobolev type estimates for
magnetic Schr\"od... | 2104.10723v1 |
2021-06-23 | Pitt inequality for the linear structurally damped $σ$-evolution equations | This work is devoted to improve the time decay estimates for the solution and
some of its derivatives of the linear structurally damped $\sigma$-evolution
equations. The Pitt inequality is the main tool provided that the initial data
lies in some weighted spaces. | 2106.12342v1 |
2021-07-22 | Dimension estimates for the attractor of the regularized damped Euler equations on the sphere | We prove existence of the global attractor of the damped and driven
Euler--Bardina equations on the 2D sphere and on arbitrary domains on the
sphere
and give explicit estimates of its fractal dimension in terms of the physical
parameters. | 2107.10779v1 |
2021-09-22 | State-space representation of Matérn and Damped Simple Harmonic Oscillator Gaussian processes | Gaussian processes (GPs) are used widely in the analysis of astronomical time
series. GPs with rational spectral densities have state-space representations
which allow O(n) evaluation of the likelihood. We calculate analytic state
space representations for the damped simple harmonic oscillator and the
Mat\'ern 1/2, 3/2... | 2109.10685v1 |
2021-10-10 | Global existence of solutions for semilinear damped wave equations with variable coefficients | We consider the Cauchy problem for the damped wave equations with variable
coefficients a(x) having power type nonlinearity |u|^p. We discuss the global
existence of solutions for small initial data and investigate the relation
between the range of a(x) and the order p. | 2110.04718v2 |
2021-10-21 | Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping | In this paper, we obtain some stability results of (abstract) dissipative
evolution equations with a nonautonomous and nonlinear damping using the
exponential stability of the retrograde problem with a linear and autonomous
feedback and a comparison principle. We then illustrate our abstract statements
for different co... | 2110.11122v1 |
2021-11-23 | Logistic damping effect in chemotaxis models with density-suppressed motility | This paper is concerned with a parabolic-elliptic chemotaxis model with
density-suppressed motility and general logistic source in an $n$-dimensional
smooth bounded domain with Neumann boundary conditions. Under the minimal
conditions for the density-suppressed motility function, we explore how strong
the logistic damp... | 2111.11669v1 |
2022-01-04 | Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity | In this article, we consider a viscoelastic plate equation with a logarithmic
nonlinearity in the presence of nonlinear frictional damping term. Using the
the Faedo-Galerkin method we establish the global existence of the solution of
the problem and we also prove few general decay rate results. | 2201.00983v1 |
2022-01-20 | Long Time Decay of Leray Solution of 3D-NSE With Damping | In \cite{CJ}, the authors show that the Cauchy problem of the Navier-Stokes
equations with damping $\alpha|u|^{\beta-1}u(\alpha>0,\;\beta\geq1)$ has global
weak solutions in $L^2(\R^3)$. In this paper, we prove the uniqueness, the
continuity in $L^2$ for $\beta>3$, also the large time decay is proved for
$\beta\geq\fra... | 2201.08427v1 |
2022-02-20 | On a non local non-homogeneous fractional Timoshenko system with frictional and viscoelastic damping terms | We are devoted to the study of a nonhomogeneous time-fractional Timoshenko
system with frictional and viscoelastic damping terms. We are concerned with
the well-posedness of the given problem. The approach relies on some
functional-analysis tools, operator theory, a prori estimates, and density
arguments. | 2202.09879v1 |
2022-04-05 | Large time behavior of solutions to nonlinear beam equations | In this note we analyze the large time behavior of solutions to a class of
initial/boundary problems involving a damped nonlinear beam equation. We show
that under mild conditions on the damping term of the equation of motions the
solutions of the dynamical problem converge to the solution of the stationary
problem. We... | 2204.02151v1 |
2022-05-09 | Energy asymptotics for the strongly damped Klein-Gordon equation | We consider the strongly damped Klein Gordon equation for defocusing
nonlinearity and we study the asymptotic behaviour of the energy for periodic
solutions. We prove first the exponential decay to zero for zero mean
solutions. Then, we characterize the limit of the energy, when the time tends
to infinity, for solution... | 2205.04205v1 |
2022-06-07 | Asymptotic study of Leray Solution of 3D-NSE With Exponential Damping | We study the uniqueness, the continuity in $L^2$ and the large time decay for
the Leray solutions of the $3D$ incompressible Navier-Stokes equations with the
nonlinear exponential damping term $a (e^{b |u|^{\bf 2}}-1)u$, ($a,b>0$)
studied by the second author in \cite{J1}. | 2206.03138v1 |
2022-06-25 | Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity | In this article, we consider a viscoelastic plate equation with past history,
nonlinear damping, and logarithmic nonlinearity. We prove explicit and general
decay rate results of the solution to the viscoelastic plate equation with past
history. Convex properties, logarithmic inequalities, and generalised Young's
inequ... | 2206.12561v1 |
2022-06-30 | Effect of a viscous fluid shell on the propagation of gravitational waves | In this paper we show that there are circumstances in which the damping of
gravitational waves (GWs) propagating through a viscous fluid can be highly
significant; in particular, this applies to Core Collapse Supernovae (CCSNe).
In previous work, we used linearized perturbations on a fixed background within
the Bondi-S... | 2206.15103v2 |
2022-09-07 | Blow up and lifespan estimates for systems of semi-linear wave equations with dampings and potentials | In this paper, we consider the semi-linear wave systems with
power-nonlinearities and space-dependent dampings and potentials. We obtain the
blow-up regions for three types wave systems as well as the lifespan estimates. | 2209.02920v1 |
2022-12-04 | Inverse problem of recovering the time-dependent damping and nonlinear terms for wave equations | In this paper, we consider the inverse boundary problems of recovering the
time-dependent nonlinearity and damping term for a semilinear wave equation on
a Riemannian manifold. The Carleman estimate and the construction of Gaussian
beams together with the higher order linearization are respectively used to
derive the u... | 2212.01815v2 |
2022-12-14 | Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping | We study a Euler-Bernoulli beam equation with localized discontinuous
structural damping. As our main result, we prove that the associated
$C_0$-semigroup $(S(t))_{t\geq0}$ is of Gevrey class $\delta>24$ for $t>0$,
hence immediately differentiable. Moreover, we show that $(S(t))_{t\geq0}$ is
exponentially stable. | 2212.07110v1 |
2022-12-28 | On extended lifespan for 1d damped wave equation | In this manuscript, a sharp lifespan estimate of solutions to semilinear
classical damped wave equation is investigated in one dimensional case, when
the sum of initial position and speed is $0$ pointwisely. Especially, an
extension of lifespan is shown in this case. Moreover, existence of some global
solutions are obt... | 2212.13845v1 |
2023-02-06 | Uniform stabilization of an acoustic system | We study the problem of stabilization for the acoustic system with a
spatially distributed damping. With imposing hypothesis on the structural
properties of the damping term, we identify exponential decay of solutions with
growing time. | 2302.02726v1 |
2023-04-23 | Decay rates for a variable-coefficient wave equation with nonlinear time-dependent damping | In this paper, a class of variable-coefficient wave equations equipped with
time-dependent damping and the nonlinear source is considered. We show that the
total energy of the system decays to zero with an explicit and precise decay
rate estimate under different assumptions on the feedback with the help of the
method o... | 2304.11522v1 |
2023-05-22 | Fast energy decay for wave equation with a monotone potential and an effective damping | We consider the total energy decay of the Cauchy problem for wave equations
with a potential and an effective damping. We treat it in the whole
one-dimensional Euclidean space. Fast energy decay is established with the help
of potential. The proofs of main results rely on a multiplier method and
modified techniques ado... | 2305.12666v1 |
2023-08-03 | Blow-up for semilinear wave equations with damping and potential in high dimensional Schwarzschild spacetime | In this work, we study the blow up results to power-type semilinear wave
equation in the high dimensional Schwarzschild spacetime, with damping and
potential terms. We can obtain the upper bound estimates of lifespan without
the assumption that the support of the initial date should be far away from the
black hole. | 2308.01691v1 |
2023-08-22 | Lifespan estimates for 1d damped wave equation with zero moment initial data | In this manuscript, a sharp lifespan estimate of solutions to semilinear
classical damped wave equation is investigated in one dimensional case when the
Fourier 0th moment of sum of initial position and speed is $0$. Especially, it
is shown that the behavior of lifespan changes with $p=3/2$ with respect to the
size of ... | 2308.11113v1 |
2023-09-01 | Damped Euler system with attractive Riesz interaction forces | We consider the barotropic Euler equations with pairwise attractive Riesz
interactions and linear velocity damping in the periodic domain. We establish
the global-in-time well-posedness theory for the system near an equilibrium
state. We also analyze the large-time behavior of solutions showing the
exponential rate of ... | 2309.00210v1 |
2023-10-02 | The damped wave equation and associated polymer | Considering the damped wave equation with a Gaussian noise $F$ where $F$ is
white in time and has a covariance function depending on spatial variables, we
will see that this equation has a mild solution which is stationary in time
$t$. We define a weakly self-avoiding polymer with intrinsic length $J$
associated to thi... | 2310.01631v1 |
2023-10-17 | Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping | In this paper, we consider the well-posedness and stability of a
one-dimensional system of degenerate wave equations coupled via zero order
terms with one boundary fractional damping acting on one end only. We prove
optimal polynomial energy decay rate of order $1/t^{(3-\tau)}$. The method is
based on the frequency dom... | 2310.11174v1 |
2024-03-11 | Uniform estimates for solutions of nonlinear focusing damped wave equations | For a damped wave (or Klein-Gordon) equation on a bounded domain, with a
focusing power-like nonlinearity satisfying some growth conditions, we prove
that a global solution is bounded in the energy space, uniformly in time. Our
result applies in particular to the case of a cubic equation on a bounded
domain of dimensio... | 2403.06541v1 |
1995-10-27 | A modified R1 X R1 method for helioseismic rotation inversions | We present an efficient method for two dimensional inversions for the solar
rotation rate using the Subtractive Optimally Localized Averages (SOLA) method
and a modification of the R1 X R1 technique proposed by Sekii (1993). The SOLA
method is based on explicit construction of averaging kernels similar to the
Backus-Gi... | 9510143v1 |
1997-10-22 | Globular Cluster Microlensing: Globular Clusters as Microlensing Targets | We investigate the possibility of using globular clusters as targets for
microlensing searches. Such searches will be challenging and require more
powerful telescopes than now employed, but are feasible in the 0 future.
Although expected event rates are low, we show that the wide variety of lines
of sight to globular c... | 9710251v1 |
2002-12-17 | An Intrinsic Baldwin Effect in the H-beta Broad Emission Line in the Spectrum of NGC 5548 | We investigate the possibility of an intrinsic Baldwin Effect (i.e.,nonlinear
emission-line response to continuum variations) in the broad H-beta emission
line of the active galaxy NGC 5548 using cross-correlation techniques to remove
light travel-time effects from the data. We find a nonlinear relationship
between the... | 0212379v1 |
2002-12-28 | Detecting supersymmetric dark matter in M31 with CELESTE ? | It is widely believed that dark matter exists within galaxies and clusters of
galaxies. Under the assumption that this dark matter is composed of the
lightest, stable supersymmetric particle, assumed to be the neutralino, the
feasibility of its indirect detection via observations of a diffuse gamma-ray
signal due to ne... | 0212560v1 |
2003-03-18 | Model-Independent Reionization Observables in the CMB | We represent the reionization history of the universe as a free function in
redshift and study the potential for its extraction from CMB polarization
spectra. From a principal component analysis, we show that the ionization
history information is contained in 5 modes, resembling low-order Fourier modes
in redshift spac... | 0303400v1 |
2006-05-08 | Discovery of an Extended Halo of Metal-poor Stars in the Andromeda Spiral Galaxy | This paper has been withdrawn. Please see astro-ph/0502366. | 0605172v3 |
1995-01-02 | Dynamics of homogeneous magnetizations in strong transverse driving fields | Spatially homogeneous solutions of the Landau--Lifshitz--Gilbert equation are
analysed. The conservative as well as the dissipative case is considered
explicitly. For the linearly polarized driven Hamiltonian system we apply
canonical perturbation theory to uncover the main resonances as well as the
global phase space ... | 9501002v1 |
2000-09-18 | Electronic properties of the degenerate Hubbard Model : A dynamical mean field approach | We have investigated electronic properties of the degenerate multi-orbital
Hubbard model, in the limit of large spatial dimension. A new local model,
including a doubly degenerate strongly correlated site has been introduced and
solved in the framework of the non-crossing approximation (NCA). Mott-Hubbard
transitions h... | 0009253v1 |
2001-01-11 | Theoretical and Experimental Approach to Spin Dynamics in Thin Magnetic Films | The Landau-Lifshitz (L-L) equation describing the time dependence of the
magnetisation vector is numerically integrated fully without any simplifying
assumptions in the time domain and the magnetisation time series obtained is
Fourier transformed (FFT) to yield the permeability spectrum up to 10 GHz. The
non linear res... | 0101154v1 |
2004-08-13 | Finite lattice size effect in the ground state phase diagram of quasi-two-dimensional magnetic dipolar dots array with perpendicular anisotropy | A prototype Hamiltonian for the generic patterned magnetic structures, of
dipolar interaction with perpendicular anisotropy, is investigated within the
finite-size framework by Landau-Lifshift-Gilbert classical spin dynamics.
Modifications on the ground state phase diagram are discussed with an emphasis
on the disappea... | 0408324v1 |
2004-10-01 | Current-spin coupling for ferromagnetic domain walls in fine wires | The coupling between a current and a domain wall is examined. In the presence
of a finite current and the absence of a potential which breaks the
translational symmetry, there is a perfect transfer of angular momentum from
the conduction electrons to the wall. As a result, the ground state is in
uniform motion. This re... | 0410035v1 |
2004-12-17 | Hysteresis loops of magnetic thin films with perpendicular anisotropy | We model the magnetization of quasi two-dimensional systems with easy
perpendicular (z-)axis anisotropy upon change of external magnetic field along
z. The model is derived from the Landau-Lifshitz-Gilbert equation for
magnetization evolution, written in closed form in terms of the z component of
the magnetization only... | 0412461v1 |
2006-01-11 | Relaxing-Precessional Magnetization Switching | A new way of magnetization switching employing both the spin-transfer torque
and the torque by a magnetic field is proposed. The solution of the
Landau-Lifshitz-Gilbert equation shows that the dynamics of the magnetization
in the initial stage of the switching is similar to that in the precessional
switching, while tha... | 0601227v1 |
2006-04-01 | Magnetization reversal through synchronization with a microwave | Based on the Landau-Lifshitz-Gilbert equation, it can be shown that a
circularly-polarized microwave can reverse the magnetization of a Stoner
particle through synchronization. In comparison with magnetization reversal
induced by a static magnetic field, it can be shown that when a proper
microwave frequency is used th... | 0604013v1 |
2006-05-25 | Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics | In this paper, we reexamine the validity of using time quantified Monte Carlo
(TQMC) method [Phys. Rev. Lett. 84, 163 (2000); Phys. Rev. Lett. 96, 067208
(2006)] in simulating the stochastic dynamics of interacting magnetic
nanoparticles. The Fokker-Planck coefficients corresponding to both TQMC and
Langevin dynamical ... | 0605621v1 |
2006-06-26 | Self Consistent NEGF-LLG Model for Spin-Torque Based Devices | We present here a self consistent solution of quantum transport, using the
Non Equilibrium Green's Function (NEGF) method, and magnetization dynamics,
using the Landau-Lifshitz-Gilbert (LLG) formulation. We have applied this model
to study current induced magnetic switching due to `spin torque' in a device
where the el... | 0606648v2 |
2006-07-25 | Thermally-Assisted Current-Driven Domain Wall Motion | Starting from the stochastic Landau-Lifschitz-Gilbert equation, we derive
Langevin equations that describe the nonzero-temperature dynamics of a rigid
domain wall. We derive an expression for the average drift velocity of the
domain wall as a function of the applied current, and find qualitative
agreement with recent m... | 0607663v1 |
2006-09-08 | Large cone angle magnetization precession of an individual nanomagnet with dc electrical detection | We demonstrate on-chip resonant driving of large cone-angle magnetization
precession of an individual nanoscale permalloy element. Strong driving is
realized by locating the element in close proximity to the shorted end of a
coplanar strip waveguide, which generates a microwave magnetic field. We used a
microwave frequ... | 0609190v1 |
2006-12-30 | Low relaxation rate in a low-Z alloy of iron | The longest relaxation time and sharpest frequency content in ferromagnetic
precession is determined by the intrinsic (Gilbert) relaxation rate \emph{$G$}.
For many years, pure iron (Fe) has had the lowest known value of $G=\textrm{57
Mhz}$ for all pure ferromagnetic metals or binary alloys. We show that an
epitaxial i... | 0701004v1 |
2004-09-07 | Distance properties of expander codes | We study the minimum distance of codes defined on bipartite graphs. Weight
spectrum and the minimum distance of a random ensemble of such codes are
computed. It is shown that if the vertex codes have minimum distance $\ge 3$,
the overall code is asymptotically good, and sometimes meets the
Gilbert-Varshamov bound.
Co... | 0409010v1 |
1996-06-11 | Radiative corrections to $e^+e^-\to H^+ H^-$ | We study the 1-loop corrections to the charged Higgs production both in the
Minimal Supersymmetric Standard Model (MSSM) and in a more general type II
two-Higgs-doublet model (THDM-II). We consider the full set of corrections
(including soft photon contributions as well as box diagrams), and define a
parametrization th... | 9606300v1 |
1997-05-15 | Analytic constraints from electroweak symmetry breaking in the MSSM | We report on how a straightforward (albeit technically involved) analytic
study of the 1-loop effective potential in the Minimal Supersymmetric Standard
Model, modifies the usual electroweak symmetry breaking conditions involving
$\tan \beta$ and the other free parameters of the model. The study implies new
constraints... | 9705330v1 |
1998-10-01 | Extracting chargino/neutralino mass parameters from physical observables | I report on two papers, hep-ph/9806279 and hep-ph/9807336, where
complementary strategies are proposed for the determination of the
chargino/neutralino sector parameters, $M_1, M_2, \mu $ and $\tan \beta$, from
the knowledge of some physical observables. This determination and the
occurrence of possible ambiguities are... | 9810214v1 |
1999-12-28 | Associated H$^{-}$ W$^{+}$ Production in High Energy $e^+e^-$ Collisions | We study the associated production of charged Higgs bosons with $W$ gauge
bosons in high energy $e^+ e^-$ collisions at the one loop level. We present
the analytical results and give a detailed discussion for the total cross
section predicted in the context of a general Two Higgs Doublet Model (THDM). | 9912527v2 |
2001-03-25 | Comment on ``Infrared Fixed Point Structure in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation" | We reconsider the Infrared Quasi Fixed Points which were studied recently in
the literature in the context of the Baryon and Lepton number violating Minimal
Supersymmetric Standard Model (hep-ph/0011274). The complete analysis requires
further care and reveals more structure than what was previously shown. The
formalis... | 0103270v1 |
1991-11-21 | "the Instability of String-Theoretic Black Holes" | It is demonstrated that static, charged, spherically--symmetric black holes
in string theory are classically and catastrophically unstable to linearized
perturbations in four dimensions, and moreover that unstable modes appear for
arbitrarily small positive values of the charge. This catastrophic classical
instability ... | 9111042v1 |
1997-12-09 | The combinatorics of biased riffle shuffles | This paper studies biased riffle shuffles, first defined by Diaconis, Fill,
and Pitman. These shuffles generalize the well-studied Gilbert-Shannon-Reeds
shuffle and convolve nicely. An upper bound is given for the time for these
shuffles to converge to the uniform distribution; this matches lower bounds of
Lalley. A ca... | 9712240v1 |
2000-08-16 | Homotopies and automorphisms of crossed modules of groupoids | We give a detailed description of the structure of the actor 2-crossed module
related to the automorphisms of a crossed module of groupoids. This generalises
work of Brown and Gilbert for the case of crossed modules of groups, and part
of this is needed for work on 2-dimensional holonomy to be developed elsewhere
(see ... | 0008117v2 |
2005-06-14 | Transitive and Self-dual Codes Attaining the Tsfasman-Vladut-Zink Bound | We introduce - as a generalization of cyclic codes - the notion of transitive
codes, and we show that the class of transitive codes is asymptotically good.
Even more, transitive codes attain the Tsfasman-Vladut-Zink bound over F_q, for
all aquares q=l^2. We also show that self-orthogonal and self-dual codes attain
the ... | 0506264v1 |
2005-09-01 | Counting unlabelled toroidal graphs with no K33-subdivisions | We provide a description of unlabelled enumeration techniques, with complete
proofs, for graphs that can be canonically obtained by substituting 2-pole
networks for the edges of core graphs. Using structure theorems for toroidal
and projective-planar graphs containing no K33-subdivisions, we apply these
techniques to o... | 0509004v2 |
2006-05-19 | Deformation spaces of trees | Let G be a finitely generated group. Two simplicial G-trees are said to be in
the same deformation space if they have the same elliptic subgroups (if H fixes
a point in one tree, it also does in the other). Examples include
Culler-Vogtmann's outer space, and spaces of JSJ decompositions. We discuss
what features are co... | 0605545v2 |
1999-10-12 | Uniform spectral properties of one-dimensional quasicrystals, III. $α$-continuity | We study the spectral properties of discrete one-dimensional Schr\"odinger
operators with Sturmian potentials. It is shown that the point spectrum is
always empty. Moreover, for rotation numbers with bounded density, we establish
purely $\alpha$-continuous spectrum, uniformly for all phases. The proofs rely
on the uniq... | 9910017v1 |
2003-08-18 | Vector Coherent States on Clifford algebras | The well-known canonical coherent states are expressed as an infinite series
in powers of a complex number $z$ together with a positive sequence of real
numbers $\rho(m)=m$. In this article, in analogy with the canonical coherent
states, we present a class of vector coherent states by replacing the complex
variable $z$... | 0308020v2 |
2000-07-10 | Fractal Dimensions of the Hydrodynamic Modes of Diffusion | We consider the time-dependent statistical distributions of diffusive
processes in relaxation to a stationary state for simple, two dimensional
chaotic models based upon random walks on a line. We show that the cumulative
functions of the hydrodynamic modes of diffusion form fractal curves in the
complex plane, with a ... | 0007008v1 |
2000-10-06 | The Fractality of the Hydrodynamic Modes of Diffusion | Transport by normal diffusion can be decomposed into the so-called
hydrodynamic modes which relax exponentially toward the equilibrium state. In
chaotic systems with two degrees of freedom, the fine scale structure of these
hydrodynamic modes is singular and fractal. We characterize them by their
Hausdorff dimension wh... | 0010017v1 |
2007-01-12 | Non-equilibrium Lorentz gas on a curved space | The periodic Lorentz gas with external field and iso-kinetic thermostat is
equivalent, by conformal transformation, to a billiard with expanding
phase-space and slightly distorted scatterers, for which the trajectories are
straight lines. A further time rescaling allows to keep the speed constant in
that new geometry. ... | 0701024v1 |
1998-05-29 | Atom cooling and trapping by disorder | We demonstrate the possibility of three-dimensional cooling of neutral atoms
by illuminating them with two counterpropagating laser beams of mutually
orthogonal linear polarization, where one of the lasers is a speckle field,
i.e. a highly disordered but stationary coherent light field. This
configuration gives rise to... | 9805037v1 |
2006-02-23 | Equivalence of two mathematical forms for the bound angular momentum of the electromagnetic field | It is shown that the mathematical form, obtained in a recent paper, for the
angular momentum of the electromagnetic field in the vicinity of electric
charge is equivalent to another form obtained previously by Cohen-Tannoudji,
Dupont-Roc and Gilbert. In this version of the paper an improved derivation is
given. | 0602157v3 |
2006-10-13 | Senescence Can Explain Microbial Persistence | It has been known for many years that small fractions of persister cells
resist killing in many bacterial colony-antimicrobial confrontations. These
persisters are not believed to be mutants. Rather it has been hypothesized that
they are phenotypic variants. Current models allow cells to switch in and out
of the persis... | 0610026v1 |
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