publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2023-08-25 | The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients | This paper aims to reconstruct the initial condition of a hyperbolic equation
with an unknown damping coefficient. Our approach involves approximating the
hyperbolic equation's solution by its truncated Fourier expansion in the time
domain and using a polynomial-exponential basis. This truncation process
facilitates th... | 2308.13152v1 |
2023-08-25 | A Game of Bundle Adjustment -- Learning Efficient Convergence | Bundle adjustment is the common way to solve localization and mapping. It is
an iterative process in which a system of non-linear equations is solved using
two optimization methods, weighted by a damping factor. In the classic
approach, the latter is chosen heuristically by the Levenberg-Marquardt
algorithm on each ite... | 2308.13270v1 |
2023-08-30 | Stochastic Thermodynamics of Brownian motion in Temperature Gradient | We study stochastic thermodynamics of a Brownian particle which is subjected
to a temperature gradient and is confined by an external potential. We first
formulate an over-damped Ito-Langevin theory in terms of local temperature,
friction coefficient, and steady state distribution, all of which are
experimentally measu... | 2308.15764v3 |
2023-09-04 | Sphaleron damping and effects on vector and axial charge transport in high-temperature QCD plasmas | We modify the anomalous hydrodynamic equations of motion to account for
dissipative effects due to QCD sphaleron transitions. By investigating the
linearized hydrodynamic equations, we show that sphaleron transitions lead to
nontrivial effects on vector and axial charge transport phenomena in the
presence of a magnetic... | 2309.01726v1 |
2023-09-05 | Signatures and characterization of dominating Kerr nonlinearity between two driven systems with application to a suspended magnetic beam | We consider a model of two harmonically driven damped harmonic oscillators
that are coupled linearly and with a cross-Kerr coupling. We show how to
distinguish this combination of coupling types from the case where a coupling
of optomechanical type is present. This can be useful for the characterization
of various nonl... | 2309.02204v2 |
2023-09-07 | Strong coupling between WS$_2$ monolayer excitons and a hybrid plasmon polariton at room temperature | Light-matter interactions in solid-state systems have attracted considerable
interest in recent years. Here, we report on a room-temperature study on the
interaction of tungsten disulfide (WS$_2$) monolayer excitons with a hybrid
plasmon polariton (HPP) mode supported by nanogroove grating structures milled
into single... | 2309.03560v1 |
2023-09-07 | Neutron spin echo is a "quantum tale of two paths'' | We describe an experiment that strongly supports a two-path interferometric
model in which the spin-up and spin-down components of each neutron propagate
coherently along spatially separated parallel paths in a typical neutron spin
echo small angle scattering (SESANS) experiment. Specifically, we show that the
usual se... | 2309.03987v2 |
2023-09-07 | An explicit multi-time stepping algorithm for multi-time scale coupling problems in SPH | Simulating physical problems involving multi-time scale coupling is
challenging due to the need of solving these multi-time scale processes
simultaneously. In response to this challenge, this paper proposed an explicit
multi-time step algorithm coupled with a solid dynamic relaxation scheme. The
explicit scheme simplif... | 2309.04010v1 |
2023-09-15 | Limiting absorption principles and linear inviscid damping in the Euler-Boussinesq system in the periodic channel | We consider the long-time behavior of solutions to the two dimensional
non-homogeneous Euler equations under the Boussinesq approximation posed on a
periodic channel. We study the linearized system near a linearly stratified
Couette flow and prove inviscid damping of the perturbed density and velocity
field for any pos... | 2309.08445v2 |
2023-09-15 | Breakdown of sound in superfluid helium | Like elementary particles carry energy and momentum in the Universe,
quasiparticles are the elementary carriers of energy and momentum quanta in
condensed matter. And, like elementary particles, under certain conditions
quasiparticles can be unstable and decay, emitting pairs of less energetic
ones. Pitaevskii proposed... | 2309.08790v1 |
2023-09-18 | Nonlinear dynamics and magneto-elasticity of nanodrums near the phase transition | Nanomechanical resonances of two-dimensional (2D) materials are sensitive
probes for condensed-matter physics, offering new insights into magnetic and
electronic phase transitions. Despite extensive research, the influence of the
spin dynamics near a second-order phase transition on the nonlinear dynamics of
2D membran... | 2309.09672v1 |
2023-09-21 | Quantum State Reconstruction in a Noisy Environment via Deep Learning | Quantum noise is currently limiting efficient quantum information processing
and computation. In this work, we consider the tasks of reconstructing and
classifying quantum states corrupted by the action of an unknown noisy channel
using classical feedforward neural networks. By framing reconstruction as a
regression pr... | 2309.11949v1 |
2023-10-20 | Exponential weight averaging as damped harmonic motion | The exponential moving average (EMA) is a commonly used statistic for
providing stable estimates of stochastic quantities in deep learning
optimization. Recently, EMA has seen considerable use in generative models,
where it is computed with respect to the model weights, and significantly
improves the stability of the i... | 2310.13854v1 |
2023-10-22 | The residual flow in well-optimized stellarators | The gyrokinetic theory of the residual flow, in the electrostatic limit, is
revisited, with optimized stellarators in mind. We consider general initial
conditions for the problem, and identify cases that lead to a non-zonal
residual electrostatic potential, i.e. one having a significant component that
varies within a f... | 2310.14218v2 |
2023-10-23 | Adam through a Second-Order Lens | Research into optimisation for deep learning is characterised by a tension
between the computational efficiency of first-order, gradient-based methods
(such as SGD and Adam) and the theoretical efficiency of second-order,
curvature-based methods (such as quasi-Newton methods and K-FAC). We seek to
combine the benefits ... | 2310.14963v1 |
2023-10-24 | Observation of Damped Oscillations in Chemical-Quantum-Magnetic Interactions | Fundamental interactions are the basis of the most diverse phenomena in
science that allow the dazzling of possible applications. In this work, we
report a new interaction, which we call chemical-quantum-magnetic interaction.
This interaction arises due to the difference in valence that the Fe3O4/PANI
nanostructure acq... | 2310.15775v1 |
2023-10-26 | Do Graph Neural Networks Dream of Landau Damping? Insights from Kinetic Simulations of a Plasma Sheet Model | We explore the possibility of fully replacing a plasma physics kinetic
simulator with a graph neural network-based simulator. We focus on this class
of surrogate models given the similarity between their message-passing update
mechanism and the traditional physics solver update, and the possibility of
enforcing known p... | 2310.17646v2 |
2023-10-29 | Impact of Medium Anisotropy on Quarkonium Dissociation and Regeneration | Quarkonium production in ultra-relativistic collisions plays a crucial role
in probing the existence of hot QCD matter. This study explores quarkonia
states dissociation and regeneration in the hot QCD medium while considering
momentum anisotropy. The net quarkonia decay width ($\Gamma_{D}$) arises from
two essential p... | 2310.18909v1 |
2023-10-31 | Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D | In this work, we prove a threshold theorem for the 2D Navier-Stokes equations
posed on the periodic channel, $\mathbb{T} \times [-1,1]$, supplemented with
Navier boundary conditions $\omega|_{y = \pm 1} = 0$. Initial datum is taken to
be a perturbation of Couette in the following sense: the shear component of the
pertu... | 2311.00141v1 |
2023-11-10 | Moment expansion method for composite open quantum systems including a damped oscillator mode | We consider a damped oscillator mode that is resonantly driven and is coupled
to an arbitrary target system via the position quadrature operator. For such a
composite open quantum system, we develop a numerical method to compute the
reduced density matrix of the target system and the low-order moments of the
quadrature... | 2311.06113v1 |
2023-11-22 | Analytic formulas for the D-mode Robinson instability | The passive superconducting harmonic cavity (PSHC) scheme is adopted by
several existing and future synchrotron light source storage rings, as it has a
relatively smaller R/Q and a relatively larger quality factor (Q), which can
effectively reduce the beam-loading effect and suppress the mode-one
instability. Based on ... | 2311.13205v1 |
2023-11-27 | Learning Reionization History from Quasars with Simulation-Based Inference | Understanding the entire history of the ionization state of the intergalactic
medium (IGM) is at the frontier of astrophysics and cosmology. A promising
method to achieve this is by extracting the damping wing signal from the
neutral IGM. As hundreds of redshift $z>6$ quasars are observed, we anticipate
determining the... | 2311.16238v1 |
2023-12-05 | DemaFormer: Damped Exponential Moving Average Transformer with Energy-Based Modeling for Temporal Language Grounding | Temporal Language Grounding seeks to localize video moments that semantically
correspond to a natural language query. Recent advances employ the attention
mechanism to learn the relations between video moments and the text query.
However, naive attention might not be able to appropriately capture such
relations, result... | 2312.02549v1 |
2023-12-05 | THz-Driven Coherent Magnetization Dynamics in a Labyrinth Domain State | Terahertz (THz) light pulses can be used for an ultrafast coherent
manipulation of the magnetization. Driving the magnetization at THz frequencies
is currently the fastest way of writing magnetic information in ferromagnets.
Using time-resolved resonant magnetic scattering, we gain new insights to the
THz-driven cohere... | 2312.02654v1 |
2023-12-07 | Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement | High-dimensional teleportation provides various benefits in quantum networks
and repeaters, but all these advantages rely on the high-quality distribution
of high-dimensional entanglement over a noisy channel. It is essential to
consider correlation effects when two entangled qutrits travel consecutively
through the sa... | 2312.03988v1 |
2023-12-11 | Collisions and collective flavor conversion: Integrating out the fast dynamics | In dense astrophysical environments, notably core-collapse supernovae and
neutron star mergers, neutrino-neutrino forward scattering can spawn flavor
conversion on very short scales. Scattering with the background medium can
impact collective flavor conversion in various ways, either damping
oscillations or possibly se... | 2312.07612v2 |
2023-12-15 | Position-momentum conditioning, relative entropy decomposition and convergence to equilibrium in stochastic Hamiltonian systems | This paper is concerned with a class of multivariable stochastic Hamiltonian
systems whose generalised position is related by an ordinary differential
equation to the momentum governed by an Ito stochastic differential equation.
The latter is driven by a standard Wiener process and involves both
conservative and viscou... | 2312.09475v1 |
2023-12-16 | Continuous Phase Transition in Anyonic-PT Symmetric Systems | We reveal the continuous phase transition in anyonic-PT symmetric systems,
contrasting with the discontinuous phase transition corresponding to the
discrete (anti-) PT symmetry. The continuous phase transition originates from
the continuity of anyonic-PT symmetry. We find there are three
information-dynamics patterns f... | 2312.10350v4 |
2023-12-16 | Spin-torque nano-oscillator based on two in-plane magnetized synthetic ferrimagnets | We report the dynamic characterization of the spin-torque-driven in-plane
precession modes of a spin-torque nano-oscillator based on two different
synthetic ferrimagnets: a pinned one characterized by a strong RKKY interaction
which is exchange coupled to an antiferromagnetic layer; and a second one,
non-pinned charact... | 2312.10451v2 |
2023-12-20 | Quadrature squeezing enhances Wigner negativity in a mechanical Duffing oscillator | Generating macroscopic non-classical quantum states is a long-standing
challenge in physics. Anharmonic dynamics is an essential ingredient to
generate these states, but for large mechanical systems, the effect of the
anharmonicity tends to become negligible compared to decoherence. As a possible
solution to this chall... | 2312.12986v1 |
2023-12-21 | Subsonic time-periodic solution to damped compressible Euler equations with large entropy | In this paper, one-dimensional nonisentropic compressible Euler equations
with linear damping $\alpha(x)\rho u$ are analyzed.~We want to explore the
conditions under which a subsonic temporal periodic boundary can trigger a
time-periodic $C^{1}$ solution. To achieve this aim, we use a technically
constructed iteration ... | 2312.13546v1 |
2023-12-27 | Universal orbital and magnetic structures in infinite-layer nickelates | We conducted a comparative study of the rare-earth infinite-layer nickelates
films, RNiO2 (R = La, Pr, and Nd) using resonant inelastic X-ray scattering
(RIXS). We found that the gross features of the orbital configurations are
essentially the same, with minor variations in the detailed hybridization. For
low-energy ex... | 2312.16444v1 |
2024-01-05 | Response solutions for beam equations with nonlocal nonlinear damping and Liouvillean frequencies | Response solutions are quasi-periodic ones with the same frequency as the
forcing term. The present work is devoted to the construction of response
solutions for $d$-dimensional beam equations with nonlocal nonlinear damping,
which model frictional mechanisms affecting the bodies based on the average. By
considering $\... | 2401.02628v1 |
2024-01-10 | Stochastic modelling of blob-like plasma filaments in the scrape-off layer: Continuous velocity distributions | A stochastic model for a superposition of uncorrelated pulses with a random
distribution of amplitudes, sizes, and velocities is analyzed. The pulses are
assumed to move radially with fixed shape and amplitudes decreasing
exponentially in time due to linear damping. The pulse velocities are taken to
be time-independent... | 2401.05198v1 |
2024-01-11 | Optical and acoustic plasmons in the layered material Sr$_2$RuO$_4$ | We use momentum-dependent electron energy-loss spectroscopy in transmission
to study collective charge excitations in the "strange" layer metal
Sr$_2$RuO$_4$. We cover a complete range between in-plane and out-of-plane
oscillations. Outside of the classical range of electron-hole excitations,
leading to a Landau dampin... | 2401.05880v1 |
2024-01-12 | Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit | The Kuznetsov equation is a classical wave model of acoustics that
incorporates quadratic gradient nonlinearities. When its strong damping
vanishes, it undergoes a singular behavior change, switching from a
parabolic-like to a hyperbolic quasilinear evolution. In this work, we
establish for the first time the optimal e... | 2401.06492v1 |
2024-01-12 | Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order | In this paper, we focus on studying the Cauchy problem for semilinear damped
wave equations involving the sub-Laplacian $\mathcal{L}$ on the Heisenberg
group $\mathbb{H}^n$ with power type nonlinearity $|u|^p$ and initial data
taken from Sobolev spaces of negative order homogeneous Sobolev space $\dot
H^{-\gamma}_{\mat... | 2401.06565v2 |
2024-01-12 | Universal Modelling of Emergent Oscillations in Fractional Quantum Hall Fluids | Density oscillations in quantum fluids can reveal their fundamental
characteristic features. In this work, we study the density oscillation of
incompressible fractional quantum Hall (FQH) fluids created by flux insertion.
For the model Laughlin state, we find that the complex oscillations seen in
various density profil... | 2401.06856v1 |
2024-01-19 | Quantum circuit model for discrete-time three-state quantum walks on Cayley graphs | We develop qutrit circuit models for discrete-time three-state quantum walks
on Cayley graphs corresponding to Dihedral groups $D_N$ and the additive groups
of integers modulo any positive integer $N$. The proposed circuits comprise of
elementary qutrit gates such as qutrit rotation gates, qutrit-$X$ gates and
two-qutr... | 2401.11023v1 |
2024-01-22 | Exact Normal Modes of Quantum Plasmas | The normal modes, i.e., the eigen solutions to the dispersion relation
equation, are the most fundamental properties of a plasma, which also of key
importance to many nonlinear effects such as parametric and two-plasmon decay,
and Raman scattering. The real part indicates the intrinsic oscillation
frequency while the i... | 2401.11894v1 |
2024-01-23 | On the stability and emittance growth of different particle phase-space distributions in a long magnetic quadrupole channel | The behavior of K-V, waterbag, parabolic, conical and Gaussian distributions
in periodic quadrupole channels is studied by particle simulations. It is found
that all these different distributions exhibit the known K-V instabilities. But
the action of the K-V type modes becomes more and more damped in the order of
the t... | 2401.12595v2 |
2024-01-26 | Double pulse all-optical coherent control of ultrafast spin-reorientation in antiferromagnetic rare-earth orthoferrite | A pair of circularly polarized laser pulses of opposite helicities are shown
to control the route of spin reorientation phase transition in rare-earth
antiferromagnetic orthoferrite SmTbFeO$_3$. The route can be efficiently
controlled by the delay between the pulses and the sample temperature.
Simulations employing ear... | 2401.15009v1 |
2024-01-31 | Observer-based Controller Design for Oscillation Damping of a Novel Suspended Underactuated Aerial Platform | In this work, we present a novel actuation strategy for a suspended aerial
platform. By utilizing an underactuation approach, we demonstrate the
successful oscillation damping of the proposed platform, modeled as a spherical
double pendulum. A state estimator is designed in order to obtain the
deflection angles of the ... | 2401.17676v1 |
2024-02-02 | Long-time dynamics of stochastic wave equation with dissipative damping and its full discretization: exponential ergodicity and strong law of large numbers | For stochastic wave equation, when the dissipative damping is a non-globally
Lipschitz function of the velocity, there are few results on the long-time
dynamics, in particular, the exponential ergodicity and strong law of large
numbers, for the equation and its numerical discretization to our knowledge.
Focus on this i... | 2402.01137v1 |
2024-02-05 | Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping | A fifth-order KdV equation with time dependent coefficients and linear
damping has been studied. Symmetry groups have several different applications
in the context of nonlinear differential equations. For instance, they can be
used to determine conservation laws. We obtain the symmetries of the model
applying Lie's cla... | 2402.03265v1 |
2024-02-07 | Curvature-Informed SGD via General Purpose Lie-Group Preconditioners | We present a novel approach to accelerate stochastic gradient descent (SGD)
by utilizing curvature information obtained from Hessian-vector products or
finite differences of parameters and gradients, similar to the BFGS algorithm.
Our approach involves two preconditioners: a matrix-free preconditioner and a
low-rank ap... | 2402.04553v1 |
2024-02-08 | A non-damped stabilization algorithm for multibody dynamics | The stability of integrators dealing with high order Differential Algebraic
Equations (DAEs) is a major issue. The usual procedures give rise to
instabilities that are not predicted by the usual linear analysis, rendering
the common checks (developed for ODEs) unusable. The appearance of these
difficult-toexplain and u... | 2402.05768v1 |
2024-02-09 | Constraints on Quasinormal modes from Black Hole Shadows in regular non-minimal Einstein Yang-Mills Gravity | This work deals with the scalar quasinormal modes using higher order WKB
method and black hole shadow in non-minimal Einstein Yang-Mills theory. To
validate the results of quasinormal modes, time domain profiles are also
investigated. We found that with an increase in the magnetic charge of the
black hole, the ring-dow... | 2402.06186v1 |
2024-02-14 | The impact of load placement on grid resonances during grid restoration | As inverter-based generation is being massively deployed in the grid, these
type of units have to take over the current roles of conventional generation,
including the capability of restoring the grid. In this context, the resonances
of the grid during the first steps of a black start can be concerning, given
that the ... | 2402.09294v1 |
2024-02-19 | Gravitational wave asteroseismology of dark matter hadronic stars | The influence of the dark matter mass~($M_{\chi}$) and the Fermi
momentum~($k_{F}^{\dm}$) on the $f_0$-mode oscillation frequency, damping time
parameter, and tidal deformability of hadronic stars are studied by employing a
numerical integration of hydrostatic equilibrium, nonradial oscillation, and
tidal deformability... | 2402.12600v1 |
2024-02-21 | Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions | In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with
a small collision frequency $0 < \nu \ll 1$, exploring the interplay between
the regularity and size of perturbations in the context of the asymptotic
stability of the global Maxwellian. Our main result establishes the Landau
damping and enha... | 2402.14082v2 |
2024-02-22 | Long-time asymptotics of the damped nonlinear Klein-Gordon equation with a delta potential | We consider the damped nonlinear Klein-Gordon equation with a delta potential
\begin{align*} \partial_{t}^2u-\partial_{x}^2u+2\alpha \partial_{t}u+u-\gamma
{\delta}_0u-|u|^{p-1}u=0, \ & (t,x) \in \mathbb{R} \times \mathbb{R},
\end{align*} where $p>2$, $\alpha>0,\ \gamma<2$, and $\delta_0=\delta_0 (x)$
denotes the Dirac... | 2402.14381v2 |
2024-02-22 | Low-frequency Resonances in Grid-Forming Converters: Causes and Damping Control | Grid-forming voltage-source converter (GFM-VSC) may experience low-frequency
resonances, such as synchronous resonance (SR) and sub-synchronous resonance
(SSR), in the output power. This paper offers a comprehensive study on the root
causes of low-frequency resonances with GFM-VSC systems and the damping control
method... | 2402.14543v1 |
2024-02-27 | Unified study of viscoelasticity and sound damping in hard and soft amorphous solids | Recent research has made significant progress in understanding the non-phonon
vibrational states present in amorphous materials. It has been established that
their vibrational density of states follows non-Debye scaling laws. Here, we
show that the non-Debye scaling laws play a crucial role in determining
material prop... | 2402.17335v1 |
2024-03-02 | Diffusive Decay of Collective Quantum Excitations in Electron Gas | In this work the multistream quasiparticle model of collective electron
excitations is used to study the energy-density distribution of collective
quantum excitations in an interacting electron gas with arbitrary degree of
degeneracy. Generalized relations for the probability current and energy
density distributions is... | 2403.01099v1 |
2024-03-04 | Successive quasienergy collapse and the driven Dicke phase transition in the few-emitter limit | The emergent behavior that arises in many-body systems of increasing size
follows universal laws that become apparent in order-to-disorder transitions.
While this behavior has been traditionally explored for large numbers of
emitters, recent progress allows for the exploration of the few-emitter limit,
where correlatio... | 2403.02417v1 |
2024-03-05 | Domain-Agnostic Mutual Prompting for Unsupervised Domain Adaptation | Conventional Unsupervised Domain Adaptation (UDA) strives to minimize
distribution discrepancy between domains, which neglects to harness rich
semantics from data and struggles to handle complex domain shifts. A promising
technique is to leverage the knowledge of large-scale pre-trained
vision-language models for more ... | 2403.02899v1 |
2024-03-12 | Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density | In this work, we demonstrate that the mixing of scalar and vector condensates
produces spatially oscillating, but exponentially damped correlation functions
in fermionic theories at finite density and temperature. We find a regime
exhibiting this oscillatory behavior in a Gross-Neveu-type model that also
features vecto... | 2403.07430v1 |
2024-03-13 | Painlevé Analysis, Prelle-Singer Approach, Symmetries and Integrability of Damped Hénon-Heiles System | We consider a modified damped version of H\'enon-Heiles system and
investigate its integrability. By extending the Painlev\'e analysis of ordinary
differential equations we find that the modified H\'enon-Heiles system
possesses the Painlev\'e property for three distinct parametric restrictions.
For each of the identifi... | 2403.08410v1 |
2024-03-15 | Delayed interactions in the noisy voter model through the periodic polling mechanism | We investigate the effects of delayed interactions on the stationary
distribution of the noisy voter model. We assume that the delayed interactions
occur through the periodic polling mechanism and replace the original
instantaneous two-agent interactions. In our analysis, we require that the
polling period aligns with ... | 2403.10277v1 |
2024-03-16 | CETASim: A numerical tool for beam collective effect study in storage rings | We developed a 6D multi-particle tracking program CETASim in C++ programming
language to simulate intensity-dependent effects in electron storage rings. The
program can simulate the beam collective effects due to short-range/long-range
wakefields for single/coupled-bunch instability studies. It also features to
simulat... | 2403.10973v1 |
2024-03-18 | Mitigation of the Microbunching Instability Through Transverse Landau Damping | The microbunching instability has been a long-standing issue for
high-brightness free-electron lasers (FELs), and is a significant show-stopper
to achieving full longitudinal coherence in the x-ray regime. This paper
reports the first experimental demonstration of microbunching instability
mitigation through transverse... | 2403.11594v1 |
2024-03-19 | Calculating quasinormal modes of extremal and non-extremal Reissner-Nordström black holes with the continued fraction method | We use the numerical continued fraction method to investigate quasinormal
mode spectra of extremal and non-extremal Reissner-Nordstr\"om black holes in
the low and intermediate damping regions. In the extremal case, we develop
techniques that significantly expand the calculated spectrum from what had
previously appeare... | 2403.13074v1 |
2024-03-19 | Uniform vorticity depletion and inviscid damping for periodic shear flows in the high Reynolds number regime | We study the dynamics of the two dimensional Navier-Stokes equations
linearized around a shear flow on a (non-square) torus which possesses exactly
two non-degenerate critical points. We obtain linear inviscid damping and
vorticity depletion estimates for the linearized flow that are uniform with
respect to the viscosi... | 2403.13104v1 |
2024-03-26 | Greybody Factors Imprinted on Black Hole Ringdowns. II. Merging Binary Black Holes | The spectral amplitude of the merger-ringdown gravitational wave (GW) emitted
by a comparable mass-ratio black hole merger is modeled by the greybody factor
of the remnant black hole. Our model does not include fitting parameters except
for a single overall spectral amplitude. We perform the mass-spin inference
from th... | 2403.17487v1 |
2024-03-27 | Fractional variational integrators based on convolution quadrature | Fractional dissipation is a powerful tool to study non-local physical
phenomena such as damping models. The design of geometric, in particular,
variational integrators for the numerical simulation of such systems relies on
a variational formulation of the model. In [19], a new approach is proposed to
deal with dissipat... | 2403.18362v1 |
2024-04-02 | High-energy neutrinos flavour composition as a probe of neutrino magnetic moments | Neutrino propagation in the Galactic magnetic field is considered. To
describe neutrino flavour and spin oscillations on the galactic scale baselines
an approach using wave packets is developed. Evolution equations for the
neutrino wave packets in a uniform and non-uniform magnetic field are derived.
Analytical express... | 2404.02027v1 |
2024-04-09 | Calculation of toroidal Alfvén eigenmode mode structure in general axisymmetric toroidal geometry | A workflow is developed based on the ideal MHD model to investigate the
linear physics of various Alfv\'en eigenmodes in general axisymmetric toroidal
geometry, by solving the coupled shear Alfv\'en wave (SAW) and ion sound wave
(ISW) equations in ballooning space. The model equations are solved by the
FALCON code in t... | 2404.06296v1 |
2018-06-27 | Deterministics descriptions of the turbulence in the Navier-Stokes equations | This PhD thesis is devoted to deterministic study of the turbulence in the
Navier- Stokes equations. The thesis is divided in four independent
chapters.The first chapter involves a rigorous discussion about the energy's
dissipation law, proposed by theory of the turbulence K41, in the deterministic
setting of the homog... | 1806.10430v2 |
2019-03-04 | Constant angle surfaces in 4-dimensional Minkowski space | We first define a complex angle between two oriented spacelike planes in
4-dimensional Minkowski space, and then study the constant angle surfaces in
that space, i.e. the oriented spacelike surfaces whose tangent planes form a
constant complex angle with respect to a fixed spacelike plane. This notion is
the natural Lo... | 1903.01554v1 |
2020-05-17 | Universal constants and natural systems of units in a spacetime of arbitrary dimension | We study the properties of fundamental physical constants using the threefold
classification of dimensional constants proposed by J.-M. L{\'e}vy-Leblond:
constants of objects (masses, etc.), constants of phenomena (coupling
constants), and "universal constants" (such as $c$ and $\hbar$). We show that
all of the known "... | 2005.08196v3 |
2020-11-13 | Losing the trace to find dynamical Newton or Planck constants | We show that promoting the trace part of the Einstein equations to a trivial
identity results in the Newton constant being an integration constant. Thus, in
this formulation the Newton constant is a global dynamical degree of freedom
which is also a subject to quantization and quantum fluctuations. This is
similar to w... | 2011.07055v2 |
2008-11-24 | Artificial contradiction between cosmology and particle physics: the lambda problem | It is shown that the usual choice of units obtained by taking G = c = Planck
constant = 1, giving the Planck units of mass, length and time, introduces an
artificial contradiction between cosmology and particle physics: the lambda
problem that we associate with Planck constant. We note that the choice of
Planck constan... | 0811.3933v2 |
2003-02-07 | Lattice constant in diluted magnetic semiconductors (Ga,Mn)As | We use the density-functional calculations to investigate the compositional
dependence of the lattice constant of (Ga,Mn)As containing various native
defects. The lattice constant of perfect mixed crystals does not depend much on
the concentration of Mn. The lattice parameter increases if some Mn atoms
occupy interstit... | 0302150v1 |
2002-12-04 | Implications of a Time-Varying Fine Structure Constant | Much work has been done after the possibility of a fine structure constant
being time-varying. It has been taken as an indication of a time-varying speed
of light. Here we prove that this is not the case. We prove that the speed of
light may or may not vary with time, independently of the fine structure
constant being ... | 0212020v1 |
2005-12-20 | Local Experiments See Cosmologically Varying Constants | We describe a rigorous construction, using matched asymptotic expansions,
which establishes under very general conditions that local terrestrial and
solar-system experiments will measure the effects of varying `constants' of
Nature occurring on cosmological scales to computable precision. In particular,
`constants' dri... | 0512117v2 |
1992-12-22 | The Third Electromagnetic Constant of an Isotropic Medium: | In addition to the dielectric and magnetic permeability constants, another
constant is generally needed to describe the electrodynamic properties of a
linear isotropic medium. We discuss why the need for the third constant arises
and what sort of physical situations can give rise to a non-zero value for it.
This additi... | 9212300v2 |
2001-09-15 | Two-dimensional Finsler metrics of constant curvature | A Riemannian metric is of constant curvature if and only if it is locally
projectively flat. There are infinitely many locally projectively flat Finsler
metrics of constant curvature, that are special solutions to the Hilbert's
Fourth Problem.
In this paper, we use the technique in the paper titled "Finsler metrics w... | 0109097v1 |
2002-09-04 | Experimental Consequences of Time Variations of the Fundamental Constants | We discuss the experimental consequences of hypothetical time variations of
the fundamental constants. We emphasize that from a purely phenomenological
point of view, only dimensionless fundamental constants have significance. Two
classes of experiments are identified that give results that are essentially
independent ... | 0209016v1 |
2008-10-13 | A note on Artin's constant | We suggest a new approach to Artin's constant that leads to its
representation as an infinite sum divided by another infinite sum. The same
approach works well for Stephens' constant and higher rank Artin's constants.
The main results are theoretical but there are interesting experimental and
computational aspects. | 0810.2325v4 |
2009-03-27 | Effect of non-zero constant vorticity on the nonlinear resonances of capillary water waves | The influence of an underlying current on 3-wave interactions of capillary
water waves is studied. The fact that in irrotational flow resonant 3-wave
interactions are not possible can be invalidated by the presence of an
underlying current of constant non-zero vorticity. We show that: 1) wave trains
in flows with const... | 0903.4813v1 |
2010-04-09 | A New Construction for Constant Weight Codes | A new construction for constant weight codes is presented. The codes are
constructed from $k$-dimensional subspaces of the vector space $\F_q^n$. These
subspaces form a constant dimension code in the Grassmannian space
$\cG_q(n,k)$. Some of the constructed codes are optimal constant weight codes
with parameters not kno... | 1004.1503v3 |
2011-07-01 | Mimicking the cosmological constant: constant curvature spherical solutions in a non-minimally coupled model | The purpose of this study is to describe a perfect fluid matter distribution
that leads to a constant curvature region, thanks to the effect of a
non-minimal coupling. This distribution exhibits a density profile within the
range found in the interstellar medium and an adequate matching of the metric
components at its ... | 1107.0225v1 |
2013-11-09 | On Maxwell's and Poincare's Constants | We prove that for bounded and convex domains in three dimensions, the Maxwell
constants are bounded from below and above by Friedrichs' and Poincar\'e's
constants. In other words, the second Maxwell eigenvalues lie between the
square roots of the second Neumann-Laplace and the first Dirichlet-Laplace
eigenvalue. | 1311.2186v4 |
2015-01-08 | On the optimal constants in Korn's and geometric rigidity estimates, in bounded and unbounded domains, under Neumann boundary conditions | We are concerned with the optimal constants: in the Korn inequality under
tangential boundary conditions on bounded sets $\Omega \subset \mathbb{R}^n$,
and in the geometric rigidity estimate on the whole $\mathbb{R}^2$. We prove
that the latter constant equals $\sqrt{2}$, and we discuss the relation of the
former const... | 1501.01917v1 |
2016-05-16 | A Constant-Factor Bi-Criteria Approximation Guarantee for $k$-means++ | This paper studies the $k$-means++ algorithm for clustering as well as the
class of $D^\ell$ sampling algorithms to which $k$-means++ belongs. It is shown
that for any constant factor $\beta > 1$, selecting $\beta k$ cluster centers
by $D^\ell$ sampling yields a constant-factor approximation to the optimal
clustering w... | 1605.04986v1 |
2016-11-01 | Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds | We study the problem of deforming a Riemannian metric to a conformal one with
nonzero constant scalar curvature and nonzero constant boundary mean curvature
on a compact manifold of dimension $n\geq 3$. We prove the existence of such
conformal metrics in the cases of $n=6,7$ or the manifold is spin and some
other remai... | 1611.00229v2 |
2019-05-31 | Hyperbolicity constants for pants and relative pants graphs | The pants graph has proved to be influential in understanding 3-manifolds
concretely. This stems from a quasi-isometry between the pants graph and the
Teichm\"uller space with the Weil-Petersson metric. Currently, all estimates on
the quasi-isometry constants are dependent on the surface in an undiscovered
way. This pa... | 1905.13595v1 |
2019-11-28 | Constant mean curvature Isometric Immersions into $\mathbb{S}^2 \times \mathbb{R}$ and $\mathbb{H}^2 \times \mathbb{R}$ and related results | In this article, we study constant mean curvature isometric immersions into
$\mathbb{S}^2 \times \mathbb{R}$ and $\mathbb{H}^2 \times \mathbb{R}$ and we
classify these isometric immersions when the surface has constant intrinsic
curvature. As applications, we use the sister surface correspondence to
classify the consta... | 1911.12630v1 |
2020-12-21 | A Couple of Transcendental Prime-Representing Constants | It is well known that the arithmetic nature of Mills' prime-representing
constant is uncertain: we do not know if Mills' constant is a rational or
irrational number. In the case of other prime-representing constants,
irrationality can be proved, but it is not known whether these constants are
algebraic or transcendenta... | 2012.11750v2 |
2021-03-17 | Complex nilmanifolds with constant holomorphic sectional curvature | A well known conjecture in complex geometry states that a compact Hermitian
manifold with constant holomorphic sectional curvature must be K\"ahler if the
constant is non-zero and must be Chern flat if the constant is zero. The
conjecture is confirmed in complex dimension $2$, by the work of
Balas-Gauduchon in 1985 (wh... | 2103.09571v1 |
2021-03-25 | Universal Constants as Manifestations of Relativity | We study the possible interpretation of the "universal constants" by the
classification of J.~M.~L\'evy-Leblond. $\hbar$ and $c$ are the most common
example of constants of this type. Using Fock's principle of the relativity
w.r.t. observation means, we show that both $c$ and $\hbar$ can be viewed as
manifestations of ... | 2103.13854v2 |
2022-03-30 | Convex bodies of constant width in spaces of constant curvature and the extremal area of Reuleaux triangles | Extending Blaschke and Lebesgue's classical result in the Euclidean plane, it
has been recently proved in spherical and the hyperbolic cases, as well, that
Reuleaux triangles have the minimal area among convex domains of constant width
$D$. We prove an essentially optimal stability version of this statement in
each of ... | 2203.16636v1 |
2022-05-23 | On Computing Coercivity Constants in Linear Variational Problems Through Eigenvalue Analysis | In this work, we investigate the convergence of numerical approximations to
coercivity constants of variational problems. These constants are essential
components of rigorous error bounds for reduced-order modeling; extension of
these bounds to the error with respect to exact solutions requires an
understanding of conv... | 2205.11580v1 |
2022-08-07 | Spacelike Curves of Constant-Ratio in Pseudo-Galilean Space | In the theory of differential geometry curves, a curve is said to be of
constant-ratio if the ratio of the length of the tangential and normal
components of its position vector function is constant. In this paper, we study
and characterize a spacelike admissible curve of constant-ratio in terms of its
curvature functio... | 2208.03686v1 |
2022-08-24 | New Geometric Constant Related to the P-angle Function in Banach Spaces | In this paper, combined with the P-angle function of Banach spaces and the
geometric constants that can characterize Hilbert spaces, the new angular
geometric constant is defined. Firstly, this paper explores the basic
properties of the new constant and obtains some inequalities with significant
geometric constants. Th... | 2208.11239v1 |
2022-09-22 | Kemeny's constant and Wiener index on trees | On trees of fixed order, we show a direct relation between Kemeny's constant
and Wiener index, and provide a new formula of Kemeny's constant from the
relation with a combinatorial interpretation. Moreover, the relation simplifies
proofs of several known results for extremal trees in terms of Kemeny's
constant for rand... | 2209.11271v1 |
2023-12-18 | Asymptotic products of binomial and multinomial coefficients revisited | In this note, we consider asymptotic products of binomial and multinomial
coefficients and determine their asymptotic constants and formulas. Among them,
special cases are the central binomial coefficients, the related Catalan
numbers, and binomial coefficients in a row of Pascal's triangle. For the
latter case, we sho... | 2312.11369v1 |
2023-12-23 | The Table of the Structure Constants for the Complex Simple Lie Algebra of Type G_2 and Chevalley Commutator Formulas in the Chevalley Group of Type G_2 over a Field | This article is the second in the series and is devoted to the type G_2. The
work consists of two parts. In the first part we calculate the structure
constants of the complex simple Lie algebra of type G_2. All structure
constants are represented as functions of the structure constants corresponding
to extraspecial pai... | 2312.15226v1 |
2003-10-21 | Cosmological model with $Ω_M$-dependent cosmological constant | The idea here is to set the cosmical constant $\lambda$ proportional to the
scalar of the stress-energy tensor of the ordinary matter. We investigate the
evolution of the scale factor in a cosmological model in which the cosmological
constant is proportional to the scalar of the stress-energy tensor. | 0310609v1 |
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