publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2020-09-22 | Magnon-mediated spin currents in Tm3Fe5O12/Pt with perpendicular magnetic anisotropy | The control of pure spin currents carried by magnons in magnetic insulator
(MI) garnet films with a robust perpendicular magnetic anisotropy (PMA) is of
great interest to spintronic technology as they can be used to carry, transport
and process information. Garnet films with PMA present labyrinth domain
magnetic struct... | 2009.10299v1 |
2020-10-17 | Multiscale modelling of magnetostatic effects on magnetic nanoparticles with application to hyperthermia | We extend a renormalization group-based course-graining method for
micromagnetic simulations to include properly scaled magnetostatic
interactions. We apply the method in simulations of dynamic hysteresis loops at
clinically relevant sweep rates and at 310 K of iron oxide nanoparticles (NPs)
of the kind that have been ... | 2010.08848v1 |
2021-02-09 | Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors | A central question in the underdoped cuprates pertains to the nature of the
pseudogap ground state. A conventional metallic ground state of the pseudogap
region has been argued to host quantum oscillations upon destruction of the
superconducting order parameter by modest magnetic fields. Here we use low
applied measure... | 2102.04927v2 |
2021-03-08 | Emerging magnetic nutation | Nutation has been recognized as of great significance for spintronics; but
justifying its presence has proven to be a hard problem. In this paper we show
that nutation can be understood as emerging from a systematic expansion of a
kernel that describes the history of the interaction of a magnetic moment with
a bath of ... | 2103.04787v3 |
2021-03-11 | Long-range spin transport on the surface of topological Dirac semimetal | We theoretically propose the long-range spin transport mediated by the
gapless surface states of topological Dirac semimetal (TDSM). Low-dissipation
spin current is a building block of next-generation spintronics devices. While
conduction electrons in metals and spin waves in ferromagnetic insulators
(FMIs) are the maj... | 2103.06519v1 |
2021-04-09 | Spin diffusion length associated to out-of-plane resistivity of Pt thin films in spin pumping experiments | We present a broadband ferromagnetic resonance study of the Gilbert damping
enhancement ($\Delta \alpha$) due to spin pumping in NiFe/Pt bilayers. The
bilayers, which have negligible interfacial spin memory loss, are studied as a
function of the Pt layer thickness ($t_{\text{Pt}}$) and temperature (100-293
K). Within t... | 2104.04426v1 |
2021-05-05 | Ni$_{80}$Fe$_{20}$ Nanotubes with Optimized Spintronic Functionalities Prepared by Atomic Layer Deposition | Permalloy Ni$_{80}$Fe$_{20}$ is one of the key magnetic materials in the
field of magnonics. Its potential would be further unveiled if it could be
deposited in three dimensional (3D) architectures of sizes down to the
nanometer. Atomic Layer Deposition, ALD, is the technique of choice for
covering arbitrary shapes wit... | 2105.01969v1 |
2021-06-23 | Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase | The state-of-the-art theoretical description of magnetic materials relies on
solving effective Heisenberg spin problems or their generalizations to
relativistic or multi-spin-interaction cases that explicitly assume the
presence of local magnetic moments in the system. We start with a general
interacting fermionic mode... | 2106.12462v3 |
2021-11-20 | Skyrmionics in correlated oxides | While chiral magnets, metal-based magnetic multilayers, or Heusler compounds
have been considered as the material workhorses in the field of skyrmionics,
oxides are now emerging as promising alternatives, as they host special
correlations between the spin-orbital-charge-lattice degrees of freedom and/or
coupled ferroic... | 2111.10562v2 |
2021-12-01 | Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics | Recently, Kim & Wilkening (Convergence of a mass-lumped finite element method
for the Landau-Lifshitz equation, Quart. Appl. Math., 76, 383-405, 2018)
proposed two novel predictor-corrector methods for the Landau-Lifshitz-Gilbert
equation (LLG) in micromagnetics, which models the dynamics of the
magnetization in ferrom... | 2112.00451v1 |
2021-12-21 | Fast long-wavelength exchange spin waves in partially-compensated Ga:YIG | Spin waves in yttrium iron garnet (YIG) nano-structures attract increasing
attention from the perspective of novel magnon-based data processing
applications. For short wavelengths needed in small-scale devices, the group
velocity is directly proportional to the spin-wave exchange stiffness constant
$\lambda_\mathrm{ex}... | 2112.11348v1 |
2022-01-27 | Magnon transport and thermoelectric effects in ultrathin Tm3Fe5O12/Pt nonlocal devices | The possibility of electrically exciting and detecting magnon currents in
magnetic insulators has opened exciting perspectives for transporting spin
information in electronic devices. However, the role of the magnetic field and
the nonlocal thermal gradients on the magnon transport remain unclear. Here, by
performing n... | 2201.11353v1 |
2022-01-31 | Tuning spin-orbit torques across the phase transition in VO$_2$/NiFe heterostructure | The emergence of spin-orbit torques as a promising approach to
energy-efficient magnetic switching has generated large interest in material
systems with easily and fully tunable spin-orbit torques. Here, current-induced
spin-orbit torques in VO$_2$/NiFe heterostructures were investigated using
spin-torque ferromagnetic... | 2201.12984v1 |
2022-02-03 | Controlling spin pumping into superconducting Nb by proximity-induced spin-triplet Cooper pairs | Proximity-induced long-range spin-triplet supercurrents, important for the
field of superconducting spintronics, are generated in
superconducting/ferromagnetic heterostructures when interfacial magnetic
inhomogeneities responsible for spin mixing and spin flip scattering are
present. The multilayer stack Nb/Cr/Fe/Cr/Nb... | 2202.01520v1 |
2022-06-17 | Multiscale Modelling of the Antiferromagnet Mn2Au: From ab-initio to Micromagnetics | Antiferromagnets (AFMs) are strong candidates for the future spintronic and
memory applications largely because of their inherently fast dynamics and lack
of stray fields, with Mn2Au being one of the most promising. For the numerical
modelling of magnetic material properties, it is common to use ab-initio
methods, atom... | 2206.08625v1 |
2022-10-29 | Micromagnetic frequency-domain simulation methods for magnonic systems | We present efficient numerical methods for the simulation of small
magnetization oscillations in three-dimensional micromagnetic systems.
Magnetization dynamics is described by the Landau-Lifshitz-Gilbert (LLG)
equation, linearized in the frequency domain around a generic equilibrium
configuration, and formulated in a ... | 2210.16564v3 |
2023-03-07 | Magnon currents excited by the spin Seebeck effect in ferromagnetic EuS thin films | A magnetic insulator is an ideal platform to propagate spin information by
exploiting magnon currents. However, until now, most studies have focused on
Y$_3$Fe$_5$O$_{12}$ (YIG) and a few other ferri- and antiferromagnetic
insulators, but not on pure ferromagnets. In this study, we demonstrate for the
first time that m... | 2303.03833v2 |
2023-04-01 | A coupled magneto-structural continuum model for multiferroic $\mathrm{BiFeO}_3$ | A continuum approach to study magnetoelectric multiferroic $\mathrm{BiFeO}_3$
(BFO) is proposed. Our modeling effort marries the ferroelectric (FE) phase
field method and micromagnetic simulations in order to describe the entire
multiferroic order parameter sector (polarization, oxygen antiphase tilts,
strain, and magn... | 2304.00270v1 |
2023-04-19 | Thickness-dependent magnetic properties in Pt[CoNi]n multilayers with perpendicular magnetic anisotropy | We systematically investigated the Ni and Co thickness-dependent
perpendicular magnetic anisotropy (PMA) coefficient, magnetic domain
structures, and magnetization dynamics of Pt(5 nm)/[Co(t_Co nm)/Ni(t_Ni
nm)]5/Pt(1 nm) multilayers by combining the four standard magnetic
characterization techniques. The magnetic-relat... | 2304.09366v1 |
2023-09-18 | Coherent Tunneling and Strain Sensitivity of an All Heusler Alloy Magnetic Tunneling Junction: A First-Principles Study | Half-metallic Co-based full Heusler alloys have captured considerable
attention of the researchers in the realm of spintronic applications, owing to
their remarkable characteristics such as exceptionally high spin polarization
at Fermi level, ultra-low Gilbert damping, and high Curie temperature. In this
comprehensive ... | 2309.09755v1 |
2023-10-27 | Effect of interfacial Dzyaloshinskii-Moriya interaction in spin dynamics of an Antiferromagnet coupled Ferromagnetic double-barrier Magnetic Tunnel Junction | In this work, we have studied the spin dynamics of a synthethic
Antiferromagnet (SAFM)$|$Heavy Metal (HM)$|$Ferromagnet (FM) double barrier
magnetic tunnel junction (MTJ) in presence of Ruderman-Kittel-Kasuya-Yoside
interaction (RKKYI), interfacial Dzyaloshinskii-Moriya interaction (iDMI),
N\'eel field and Spin-Orbit C... | 2310.18175v1 |
2023-11-14 | Berry curvature induced giant intrinsic spin-orbit torque in single layer magnetic Weyl semimetal thin films | Topological quantum materials can exhibit unconventional surface states and
anomalous transport properties, but their applications to spintronic devices
are restricted as they require the growth of high-quality thin films with
bulk-like properties. Here, we study 10--30 nm thick epitaxial ferromagnetic
Co$_{\rm 2}$MnGa... | 2311.08145v2 |
2023-12-26 | All solution grown epitaxial magnonic crystal of thulium iron garnet thin film | Magnonics has shown the immense potential of compatibility with CMOS devices
and the ability to be utilized in futuristic quantum computing. Therefore, the
magnonic crystals, both metallic and insulating, are under extensive
exploration. The presence of high spin-orbit interaction induced by the
presence of rare-earth ... | 2312.15973v1 |
2024-03-01 | Spin current control of magnetism | Exploring novel strategies to manipulate the order parameter of magnetic
materials by electrical means is of great importance, not only for advancing
our understanding of fundamental magnetism, but also for unlocking potential
practical applications. A well-established concept to date uses gate voltages
to control magn... | 2403.00709v1 |
2005-01-02 | Effect of dipolar interactions on the magnetization of a cubic array of nanomagnets | We investigated the effect of intermolecular dipolar interactions on a cubic
3D ensemble of 5X5X4=100 nanomagnets, each with spin $S = 5$. We employed the
Landau-Lifshitz-Gilbert equation to solve for the magnetization $M(B)$ curves
for several values of the damping constant $\alpha$, the induction sweep rate,
the latt... | 0501006v2 |
2019-03-07 | Uniaxial anisotropy, intrinsic and extrinsic damping in Co$_{2}$FeSi Heusler alloy thin films | Ferromagnetic resonance (FMR) technique has been used to study the
magnetization relaxation processes and magnetic anisotropy in two different
series of the Co2FeSi (CFS) Heusler alloy thin films, deposited on the Si(111)
substrate by UHV sputtering. While the CFS films of fixed (50 nm) thickness,
deposited at differen... | 1903.02976v1 |
2023-09-19 | Impact of strain on the SOT-driven dynamics of thin film Mn$_3$Sn | Mn$_3$Sn, a metallic antiferromagnet with an anti-chiral 120$^\circ$ spin
structure, generates intriguing magneto-transport signatures such as a large
anomalous Hall effect, spin-polarized current with novel symmetries, anomalous
Nernst effect, and magneto-optic Kerr effect. When grown epitaxially as
MgO(110)[001]$\par... | 2309.10246v2 |
2008-12-31 | Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation | The Landau-Lifshitz-Gilbert equation perturbed by a multiplicative
space-dependent noise is considered for a ferromagnet filling a bounded
three-dimensional domain. We show the existence of weak martingale solutions
taking values in a sphere $\mathbb S^2$. The regularity of weak solutions is
also discussed. Some of the... | 0901.0039v1 |
2023-09-08 | Branching points in the planar Gilbert--Steiner problem have degree 3 | Gilbert--Steiner problem is a generalization of the Steiner tree problem on a
specific optimal mass transportation.
We show that every branching point in a solution of the planar
Gilbert--Steiner problem has degree 3. | 2309.04202v2 |
2007-02-23 | Organization of the Modulopt collection of optimization problems in the Libopt environment -- Version 1.0 | This note describes how the optimization problems of the Modulopt collection
are organized within the Libopt environment. It is aimed at being a guide for
using and enriching this collection in this environment. | 0702695v1 |
2005-10-17 | Comment on "Operator Quantum Error Correction" | The attempt to equate operator quantum error correction (quant-ph/0504189v1)
with the quantum computer condition (quant-ph/0507141) in version two of
quant-ph/0504189 is shown to be invalid. | 0510116v1 |
2007-09-17 | H-Decompositions | We show that for all graphs H of size n, the complete graph $K_{2n+1}$ has an
$H$-decomposition. | 0709.2525v5 |
2008-10-06 | Unsolvability of the isomorphism problem for [free abelian]-by-free groups | The isomorphism problem for [free abelian]-by-free groups is unsolvable. | 0810.0935v2 |
2011-11-27 | Comment on "Capturing correlations in chaotic diffusion by approximation methods" | This is a comment on [G. Knight and R. Klages, Phys. Rev. E 84, 041135
(2011); also available at arXiv:1107.5293v2 [math-ph]]. | 1111.6271v1 |
2014-01-11 | Hashimoto transform for stochastic Landau-Lifshitz-Gilbert equation | We show that Hashimoto transformation is applicable to the one dimensional
stochastic Landau-Lifshitz-Gilbert (LLG) equation and transforms it to the
stochastic generalized heat equation with nonlocal (in space) interaction. | 1401.2520v1 |
2017-01-04 | Non-linear Cyclic Codes that Attain the Gilbert-Varshamov Bound | We prove that there exist non-linear binary cyclic codes that attain the
Gilbert-Varshamov bound. | 1701.01043v1 |
2019-01-28 | Conformal deformations preserving the Finslerian $R$-Einstein criterion | Given a Finslerian metric $F$ on a $C^4$-manifold, conformal deformations of
$F$ preserving the $R$-Einstein criterion are presented. In particular, locally
conformal invariance between two Finslerian $R$-Einstein metrics is
characterized. | 1902.00069v1 |
2022-04-07 | How to design a network architecture using availability | The best way to design a network is to take into account Availability values
and Capacity Planning. You already saw Availability expressed with numbers such
as 99.99%. The purpose of this document is to introduce the way to compute
Availability values using Reliability Block Diagrams. | 2204.03311v1 |
2010-02-22 | Transport and magnetization dynamics in a superconductor/single-molecule magnet/superconductor junction | We study dc-transport and magnetization dynamics in a junction of arbitrary
transparency consisting of two spin-singlet superconducting leads connected via
a single classical spin precessing at the frequency $\Omega$. The presence of
the spin in the junction provides different transmission amplitudes for spin-up
and sp... | 1002.3929v4 |
2013-06-18 | Baryons do trace dark matter 380,000 years after the big bang: Search for compensated isocurvature perturbations with WMAP 9-year data | Primordial isocurvature fluctuations between photons and either neutrinos or
non-relativistic species such as baryons or dark matter are known to be
sub-dominant to adiabatic fluctuations. Perturbations in the relative densities
of baryons and dark matter (known as compensated isocurvature perturbations, or
CIPs), howe... | 1306.4319v1 |
2015-05-29 | Microscopic Theory for Coupled Atomistic Magnetization and Lattice Dynamics | A coupled atomistic spin and lattice dynamics approach is developed which
merges the dynamics of these two degrees of freedom into a single set of
coupled equations of motion. The underlying microscopic model comprises local
exchange interactions between the electron spin and magnetic moment and the
local couplings bet... | 1505.08005v3 |
2016-04-28 | Dynamics of skyrmionic states in confined helimagnetic nanostructures | In confined helimagnetic nanostructures, skyrmionic states in the form of
incomplete and isolated skyrmion states can emerge as the ground state in
absence of both external magnetic field and magnetocrystalline anisotropy. In
this work, we study the dynamic properties (resonance frequencies and
corresponding eigenmodes... | 1604.08347v2 |
2017-04-13 | Low energy magnon dynamics and magneto-optics of the skyrmionic Mott insulator Cu$_2$OSeO$_3$ | In this work, we present a comprehensive study of the low energy optical
magnetic response of the skyrmionic Mott insulator Cu$_2$OSeO$_3$ via high
resolution time-domain THz spectroscopy. In zero field, a new magnetic
excitation not predicted by spin-wave theory with frequency $f$ = 2.03 THz is
observed and shown, wit... | 1704.04228v1 |
2017-08-25 | Role of dimensional crossover on spin-orbit torque efficiency in magnetic insulator thin films | Magnetic insulators (MIs) attract tremendous interest for spintronic
applications due to low Gilbert damping and absence of Ohmic loss. Magnetic
order of MIs can be manipulated and even switched by spin-orbit torques (SOTs)
generated through spin Hall effect and Rashba-Edelstein effect in heavy
metal/MI bilayers. SOTs ... | 1708.07584v2 |
2018-07-04 | Phase Boundary Exchange Coupling in the Mixed Magnetic Phase Regime of a Pd-doped FeRh Epilayer | Spin-wave resonance measurements were performed in the mixed magnetic phase
regime of a Pd-doped FeRh epilayer that appears as the first-order
ferromagnetic-antiferromagnetic phase transition takes place. It is seen that
the measured value of the exchange stiffness is suppressed throughout the
measurement range when co... | 1807.01615v6 |
2018-07-26 | EPIC 246851721 b: A Tropical Jupiter Transiting a Rapidly Rotating Star in a Well-Aligned Orbit | We report the discovery of EPIC 246851721 b, a "tropical" Jupiter in a
6.18-day orbit around the bright ($V=11.439$) star EPIC 246851721 (TYC
1283-739-1). We present a detailed analysis of the system using $K2$ and
ground-based photometry, radial velocities, Doppler tomography and adaptive
optics imaging. From our glob... | 1807.10298v2 |
2018-09-10 | Magnetic properties and field-driven dynamics of chiral domain walls in epitaxial Pt/Co/Au$_x$Pt$_{1-x}$ trilayers | Chiral domain walls in ultrathin perpendicularly magnetised layers have a
N\'{e}el structure stabilised by a Dzyaloshinskii-Moriya interaction (DMI) that
is generated at the interface between the ferromagnet and a heavy metal.
Different heavy metals are required above and below a ferromagnetic film in
order to generate... | 1809.03217v2 |
2019-09-06 | Macrospin analysis of RF excitations within fully perpendicular magnetic tunnel junctions with second order easy-axis magnetic anisotropy contribution | The conditions of field and voltage for inducing steady state excitations in
fully perpendicular magnetic tunnel junctions (pMTJs), adapted for memory
applications, were numerically investigated by the resolution of the
Landau-Lifshitz-Gilbert equation in the macrospin approach. Both damping-like
and the field-like spi... | 1909.02926v1 |
2021-04-21 | Atomic Layer Deposition of Yttrium Iron Garnet Thin Films for 3D Magnetic Structures | A wide variety of new phenomena such as novel magnetization configurations
have been predicted to occur in three dimensional magnetic nanostructures.
However, the fabrication of such structures is often challenging due to the
specific shapes required, such as magnetic tubes and spirals. Furthermore, the
materials curre... | 2104.10293v2 |
2022-11-03 | Skyrmion Jellyfish in Driven Chiral Magnets | Chiral magnets can host topological particles known as skyrmions, which carry
an exactly quantised topological charge $Q=-1$. In the presence of an
oscillating magnetic field ${\bf B}_1(t)$, a single skyrmion embedded in a
ferromagnetic background will start to move with constant velocity ${\bf
v}_{\text{trans}}$. The ... | 2211.01714v5 |
2023-04-05 | Threshold current of field-free perpendicular magnetization switching using anomalous spin-orbit torque | Spin-orbit torque (SOT) is a candidate technique in next generation magnetic
random-access memory (MRAM). Recently, experiments show that some material with
low-symmetric crystalline or magnetic structures can generate anomalous SOT
that has an out-of-plane component, which is crucial in switching perpendicular
magneti... | 2304.02248v2 |
2023-08-07 | $\textit{In situ}$ electric-field control of ferromagnetic resonance in the low-loss organic-based ferrimagnet V[TCNE]$_{x\sim 2}$ | We demonstrate indirect electric-field control of ferromagnetic resonance
(FMR) in devices that integrate the low-loss, molecule-based, room-temperature
ferrimagnet vanadium tetracyanoethylene (V[TCNE]$_{x \sim 2}$) mechanically
coupled to PMN-PT piezoelectric transducers. Upon straining the V[TCNE]$_x$
films, the FMR ... | 2308.03353v1 |
2023-08-18 | Large thermo-spin effects in Heusler alloy based spin-gapless semiconductor thin films | Recently, Heusler alloys-based spin gapless semiconductors (SGSs) with high
Curie temperature (TC) and sizeable spin polarization have emerged as potential
candidates for tunable spintronic applications. We report comprehensive
investigation of the temperature dependent ANE and intrinsic longitudinal spin
Seebeck effec... | 2308.09843v1 |
2017-07-28 | Measurements of the Temperature and E-Mode Polarization of the CMB from 500 Square Degrees of SPTpol Data | We present measurements of the $E$-mode polarization angular auto-power
spectrum ($EE$) and temperature-$E$-mode cross-power spectrum ($TE$) of the
cosmic microwave background (CMB) using 150 GHz data from three seasons of
SPTpol observations. We report the power spectra over the spherical harmonic
multipole range $50 ... | 1707.09353v3 |
2021-02-09 | Binet's factorial series and extensions to Laplace transforms | We investigate a generalization of Binet's factorial series in the parameter
$\alpha$ \[ \mu\left( z\right) =\sum_{m=1}^{\infty}\frac{b_{m}\left(
\alpha\right) }{\prod_{k=0}^{m-1}(z+\alpha+k)}% \] due to Gilbert, for the
Binet function \[ \mu\left( z\right) =\log\Gamma\left( z\right) -\left(
z-\frac{1} {2}\right) \log ... | 2102.04891v7 |
2000-05-29 | Entropy Production in a Persistent Random Walk | We consider a one-dimensional persisent random walk viewed as a deterministic
process with a form of time reversal symmetry. Particle reservoirs placed at
both ends of the system induce a density current which drives the system out of
equilibrium. The phase space distribution is singular in the stationary state
and has... | 0005063v1 |
2012-12-13 | A convergent finite element approximation for the quasi-static Maxwell--Landau--Lifshitz--Gilbert equations | We propose a $\theta$-linear scheme for the numerical solution of the
quasi-static Maxwell-Landau-Lifshitz-Gilbert (MLLG) equations. Despite the
strong nonlinearity of the Landau-Lifshitz-Gilbert equation, the proposed
method results in a linear system at each time step. We prove that as the time
and space steps tend t... | 1212.3369v1 |
2013-09-28 | Global Well-Posedness of the Landau-Lifshitz-Gilbert equation for initial data in Morrey space | We establish the global well-posedness of the Landau-Lifshitz-Gilbert
equation in $\mathbb R^n$ for any initial data ${\bf m}_0\in H^1_*(\mathbb
R^n,\mathbb S^2)$ whose gradient belongs to the Morrey space $M^{2,2}(\mathbb
R^n)$ with small norm $\displaystyle\|\nabla {\bf m}_0\|_{M^{2,2}(\mathbb
R^n)}$. The method is b... | 1309.7426v1 |
2016-10-26 | Iterated Gilbert Mosaics and Poisson Tropical Plane Curves | We propose an iterated version of the Gilbert model, which results in a
sequence of random mosaics of the plane. We prove that under appropriate
scaling, this sequence of mosaics converges to that obtained by a classical
Poisson line process with explicit cylindrical measure. Our model arises from
considerations on tro... | 1610.08533v1 |
2017-05-29 | Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation | We examine a stochastic Landau-Lifshitz-Gilbert equation based on an exchange
energy functional containing second-order derivatives of the unknown field.
Such regularizations are featured in advanced micromagnetic models recently
introduced in connection with nanoscale topological solitons. We show that, in
contrast to... | 1705.10184v1 |
2021-04-03 | Improving the Gilbert-Varshamov Bound by Graph Spectral Method | We improve Gilbert-Varshamov bound by graph spectral method. Gilbert graph
$G_{q,n,d}$ is a graph with all vectors in $\mathbb{F}_q^n$ as vertices where
two vertices are adjacent if their Hamming distance is less than $d$. In this
paper, we calculate the eigenvalues and eigenvectors of $G_{q,n,d}$ using the
properties ... | 2104.01403v3 |
2006-02-20 | Fluctuation theorem applied to the Nosé-Hoover thermostated Lorentz gas | We present numerical evidence supporting the validity of the Gallavotti-Cohen
Fluctuation Theorem applied to the driven Lorentz gas with Nos\'e-Hoover
thermostating. It is moreover argued that the asymptotic form of the
fluctuation formula is independent of the amplitude of the driving force, in
the limit where it is s... | 0602458v1 |
1997-12-28 | Model-independent $\tan β$ bounds in the MSSM | We demonstrate, through the study of the one-loop effective potential in the
MSSM, the existence of fully model-independent lower and upper theoretical
bounds on $\tan \beta$. We give their general analytic form and illustrate some
of their implications. | 9712529v1 |
2006-12-26 | Very Light Gravitino Dark Matter | We address the question of dark matter in the context of gauge mediated
supersymmetry breaking models. In contrast with mSUGRA scenarios, the messenger
of the susy breaking to the visible sector can play an important role allowing
a relic gravitino in the $\sim {keV}$ to $10 {MeV}$ mass range to account for
the cold da... | 0612331v1 |
2004-09-15 | Characterizing rigid simplicial actions on trees | We extend Forester's rigidity theorem so as to give a complete
characterization of rigid group actions on trees (an action is rigid if it is
the only reduced action in its deformation space, in particular it is invariant
under automorphisms preserving the set of elliptic subgroups). | 0409245v1 |
2005-12-14 | Efficient Construction of Photonic Quantum Computational Clusters | We demonstrate a method of creating photonic two-dimensional cluster states
that is considerably more efficient than previously proposed approaches. Our
method uses only local unitaries and type-I fusion operations. The increased
efficiency of our method compared to previously proposed constructions is
obtained by iden... | 0512110v1 |
2007-10-26 | The dark matter as a light gravitino | We address the question of gravitino dark matter in the context of gauge
mediated supersymmetry breaking models. A special emphasis is put on the role
played by the MSSM singlet messenger in the case of SO(10) grand unification. | 0710.5121v1 |
2008-03-05 | Innovative Weak Formulation for The Landau-Lifshitz-Gilbert Equations | A non-conventional finite element formalism is proposed to solve the dynamic
Landau-Lifshitz-Gilbert micromagnetic equations. Two bidimensional test
problems are treated to estimate the validity and the accuracy of this finite
element approach | 0803.0599v1 |
2008-10-27 | The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds | We study a class of fourth order geometric equations defined on a
4-dimensional compact Riemannian manifold which includes the Q-curvature
equation. We obtain sharp estimates on the difference near the blow-up points
between a bubbling sequence of solutions and the standard bubble. | 0810.4879v1 |
2009-03-02 | Asymptotic Improvement of the Binary Gilbert-Varshamov Bound on the Code Rate | We compute the code parameters for binary linear codes obtained by greedy
constructing the parity check matrix. Then we show that these codes improve the
Gilbert-Varshamov (GV) bound on the code size and rate. This result counter
proves the conjecture on the asymptotical exactness of the binary GV bound. | 0903.0302v2 |
2009-11-16 | The Independent Chip Model and Risk Aversion | We consider the Independent Chip Model (ICM) for expected value in poker
tournaments. Our first result is that participating in a fair bet with one
other player will always lower one's expected value under this model. Our
second result is that the expected value for players not participating in a
fair bet between two p... | 0911.3100v1 |
2011-03-29 | Statistical properties of $r$-adic processes and their connections to families of popular fractal curves | Results concerning the statists of $r$-adic processes and their fractal
properties are reviewed. The connection between singular eigenstates of the
statistical evolution of such processes and popular fractal curves is
emphasized. | 1103.5683v1 |
2011-05-09 | Global Solvability of the Cauchy Problem for the Landau-Lifshitz-Gilbert Equation in Higher Dimensions | We prove existence, uniqueness and asymptotics of global smooth solutions for
the Landau-Lifshitz-Gilbert equation in dimension $n \ge 3$, valid under a
smallness condition of initial gradients in the $L^n$ norm. The argument is
based on the method of moving frames that produces a covariant complex
Ginzburg-Landau equa... | 1105.1597v1 |
2012-03-28 | Fibonacci numbers in phyllotaxis : a simple model | A simple model is presented which explains the occurrence of high order
Fibonacci number parastichies in asteracae flowers by two distinct steps. First
low order parastichies result from the fact that a new floret, at its
appearance is repelled by two former ones, then, in order to accommodate for
the increase of the r... | 1203.6257v1 |
2014-02-19 | Ordered groupoids and the holomorph of an inverse semigroup | We present a construction for the holomorph of an inverse semigroup, derived
from the cartesian closed structure of the category of ordered groupoids. We
compare the holomorph with the monoid of mappings that preserve the ternary
heap operation on an inverse semigroup: for groups these two constructions
coincide. We pr... | 1402.4592v1 |
2014-11-01 | Functorial Zeta Integrals | The functional equation for nonarchimedean Rankin-Selberg local Euler factors
was proved by Jacquet, Piatetski-Shapiro, and Shalika in 1983. In this
expository note we translate the original proof into the purely functorial
language of parabolic induction-restriction of Bernstein-Zelevinsky. This new
language gives a c... | 1411.0148v1 |
2016-02-17 | Dispersion and Scaling Law of Dynamic Hysteresis Based on the Landau-Lifshitz-Gilbert Model | Hysteresis dispersion under a varying external field Hex is investigated
through numerical simulations based on the Landau-Lifshitz-Gilbert (LLG)
equation, indicating the energy dissipation can be determined by W({\eta}) = A
(f, H0). A linear relation between area of hysteresis and magnitude of external
field is discov... | 1602.05375v1 |
2016-06-06 | Proof of tightness of Varshamov - Gilbert bound for binary codes | We prove tightness of right logarithmic asymptotic of Varshamov- Gilbert
bound for linear binary codes We find general asymptotic coding bound for
linear codes | 1606.01592v5 |
2017-02-21 | Cohomology and extensions of ordered groupoids | We adapt and generalise results of Loganathan on the cohomology of inverse
semigroups to the cohomology of ordered groupoids. We then derive a five-term
exact sequence in cohomology from an extension of ordered groupoids, and show
that this sequence leads to a classification of extensions by a second
cohomology group. ... | 1702.06333v1 |
2017-05-11 | Two Gilbert-Varshamov Type Existential Bounds for Asymmetric Quantum Error-Correcting Codes | In this note we report two versions of Gilbert-Varshamov type existential
bounds for asymmetric quantum error-correcting codes. | 1705.04087v2 |
2017-09-21 | Self-Dual Codes better than the Gilbert--Varshamov bound | We show that every self-orthogonal code over $\mathbb F_q$ of length $n$ can
be extended to a self-dual code, if there exists self-dual codes of length $n$.
Using a family of Galois towers of algebraic function fields we show that over
any nonprime field $\mathbb F_q$, with $q\geq 64$, except possibly $q=125$,
there ar... | 1709.07221v1 |
2018-10-12 | A convex approach to the Gilbert-Steiner problem | We describe a convex relaxation for the Gilbert-Steiner problem both in $R^d$
and on manifolds, extending the framework proposed in [9], and we discuss its
sharpness by means of calibration type arguments. The minimization of the
resulting problem is then tackled numerically and we present results for an
extensive set ... | 1810.05417v1 |
2018-11-09 | Finslerian metrics locally conformally $R$-Einstein | Let $R$ be the $hh$-curvature associated with the Chern connection or the
Cartan connection. Adopting the pulled-back tangent bundle approach to the
Finslerian Geometry, an intrinsic characterization of $R$-Einstein metrics is
given. Finslerian metrics which are locally conformally $R$-Einstein are
classified. | 1811.04077v3 |
2019-02-05 | Harmonic maps with prescribed singularities and applications in general relativity | This paper presents a general existence and uniqueness result for harmonic
maps with prescribed singularities into non-positively curved targets, and
surveys a number of applications to general relativity. It is based on a talk
delivered by the author at The 11th Mathematical Society of Japan Seasonal
Institute, The Ro... | 1902.01576v2 |
2020-03-13 | 3D Stochastic Landau-Lifshitz-Gilbert Equations coupled with Maxwell's Equations with full energy | We consider 3D stochastic Landau-Lifshitz-Gilbert equations coupled with the
Maxwell equations with the full energy. We have proved the existence and some
further regularities of the weak solution. | 2003.06091v4 |
2021-12-09 | Induced Semi-Riemannian structures on null submanifolds | In this paper, we induce a semi-Riemannian metric on the $r$-null
submanifold. We establish the links between the null geometry and basics
invariants of the associated semi-Riemannian geometry on $r$-null submanifold
and semi-Riemannian constructed from a semi-Riemannian ambient. | 2112.07348v1 |
2022-04-12 | How to design a network architecture using capacity planning | Building a network architecture must answer to organization needs, but also
to two major elements which are the need for dependability and performance. By
performance, we must understand the ability to meet an immediate need and the
ability to scale without reducing the performance of the whole as new elements
are adde... | 2204.05916v2 |
2022-07-31 | Moduli of Representations of Skewed-Gentle Algebras | We prove irreducible components of moduli spaces of semistable
representations of skewed-gentle algebras, and more generally, clannish
algebras, are isomorphic to products of projective spaces. This is achieved by
showing irreducible components of varieties of representations of clannish
algebras can be viewed as irred... | 2208.00336v1 |
2022-08-01 | iOCR: Informed Optical Character Recognition for Election Ballot Tallies | The purpose of this study is to explore the performance of Informed OCR or
iOCR. iOCR was developed with a spell correction algorithm to fix errors
introduced by conventional OCR for vote tabulation. The results found that the
iOCR system outperforms conventional OCR techniques. | 2208.00865v1 |
2023-03-13 | Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation | We propose a new adaptive algorithm for the approximation of the
Landau-Lifshitz-Gilbert equation via a higher-order tangent plane scheme. We
show that the adaptive approximation satisfies an energy inequality and
demonstrate numerically, that the adaptive algorithm outperforms uniform
approaches. | 2303.07463v1 |
2023-05-08 | Evaluation of the Gilbert-Varshamov Bound using Multivariate Analytic Combinatorics | Analytic combinatorics in several variables refers to a suite of tools that
provide sharp asymptotic estimates for certain combinatorial quantities. In
this paper, we apply these tools to determine the Gilbert-Varshamov (GV) bound
for the sticky insertion and the constrained-synthesis channel. | 2305.04439v1 |
2023-12-11 | Matrix Formulae and Skein Relations for Quasi-cluster Algebras | In this paper, we give matrix formulae for non-orientable surfaces that
provide the Laurent expansion for quasi-cluster variables, generalizing the
orientable surface matrix formulae by Musiker-Williams. We additionally use our
matrix formulas to prove the skein relations for the elements in the
quasi-cluster algebra a... | 2312.06148v1 |
2009-08-12 | Linear Fractionally Damped Oscillator | In this paper the linearly damped oscillator equation is considered with the
damping term generalized to a Caputo fractional derivative. The order of the
derivative being considered is 0 less than or equal to nu which is less than or
equal to 1 . At the lower end, nu = 0, the equation represents an un-damped
oscillator... | 0908.1683v1 |
2004-05-06 | On a theorem of Kac and Gilbert | We prove a general operator theoretic result that asserts that many
multiplicity two selfadjoint operators have simple singular spectrum. | 0405110v1 |
2011-01-05 | Beating the Gilbert-Varshamov Bound for Online Channels | In the online channel coding model, a sender wishes to communicate a message
to a receiver by transmitting a codeword x =(x_1,...,x_n) in {0,1}^n bit by bit
via a channel limited to at most pn corruptions. The channel is online in the
sense that at the ith step the channel decides whether to flip the ith bit or
not and... | 1101.1045v1 |
2014-11-25 | From heavy-tailed Boolean models to scale-free Gilbert graphs | Define the scale-free Gilbert graph based on a Boolean model with
heavy-tailed radius distribution on the $d$-dimensional torus by connecting two
centers of balls by an edge if at least one of the balls contains the center of
the other. We investigate two asymptotic properties of this graph as the size
of the torus ten... | 1411.6824v1 |
2016-03-16 | Recent Results from SPLASH: Chemical Abundances and Kinematics of Andromeda's Stellar Halo | Large scale surveys of Andromeda's resolved stellar populations have
revolutionized our view of this galaxy over the past decade. The combination of
large-scale, contiguous photometric surveys and pointed spectroscopic surveys
has been particularly powerful for discovering substructure and disentangling
the structural ... | 1603.05160v1 |
2017-05-09 | Gilbert's disc model with geostatistical marking | We study a variant of Gilbert's disc model, in which discs are positioned at
the points of a Poisson process in $\mathbb{R}^2$ with radii determined by an
underlying stationary and ergodic random field
$\varphi:\mathbb{R}^2\to[0,\infty)$, independent of the Poisson process. When
the random field is independent of the p... | 1705.03337v2 |
2019-01-30 | Is the mailing Gilbert-Steiner problem convex? | A convexification of the mailing version of the finite Gilbert problem for
optimal networks is introduced. It is ia convex functional on the set of
probability measures subject to the Wasserstein $p-$ metric. The minimizer of
this convex functional is a measure supported in a graph. If this graph is a
tree (i.e contain... | 1901.10924v4 |
2019-11-06 | Phase transitions for chase-escape models on Gilbert graphs | We present results on phase transitions of local and global survival in a
two-species model on Gilbert graphs. At initial time there is an infection at
the origin that propagates on the Gilbert graph according to a continuous-time
nearest-neighbor interacting particle system. The Gilbert graph consists of
susceptible n... | 1911.02622v2 |
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