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Rough dependence upon initial data exemplified by explicit solutions and the effect of viscosityJun 17 2015In this article, we present some explicit solutions showing rough dependence upon initial data. We also studies viscous effects. An extension of a theorem of Cauchy to the viscous case is also presented.

On the so-called rogue waves in the nonlinear Schrödinger equationNov 02 2015The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schr\"odinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial ... More

On the origin of non-Gaussian statistics in hydrodynamic turbulenceAug 29 2005Turbulent flows are notoriously difficult to describe and understand based on first principles. One reason is that turbulence contains highly intermittent bursts of vorticity and strain-rate with highly non-Gaussian statistics. Quantitatively, intermittency ... More

Destructive Read by Wave Interference for ArbitrationMar 16 2017Mar 17 2017With the advent of big data and deep learning, computation power has become a bottleneck for many applications. Network-on-Chip (NoC) has been proposed to enable multiprocessor acceleration for deep learning computation, and efficient arbitration is a ... More

The continuum limit of perturbative coefficients calculated with a large field cutoffSep 14 2003We report MC calculations of perturbative coefficients for lattice scalar field theory in dimensions 1, 2 and 3, where the large field contributions are cutoff. This produces converging (instead of asymptotic) perturbative series. We discuss the statistical ... More

The Spectrum of a linearized 2D Euler operatorJul 17 2001We study the spectral properties of the linearized Euler operator obtained by linearizing the equations of incompressible two dimensional fluid at a steady state with the vorticity that contains only two nonzero complex conjugate Fourier modes. We prove ... More

Power Spectra of X-ray BinariesApr 22 2002The interpretation of Fourier spectra in the time domain is critically examined. Power density spectra defined and calculated in the time domain are compared with Fourier spectra in the frequency domain for three different types of variability: periodic ... More

Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinosDec 26 2011Mar 21 2012The extension of the minimal standard model by three right-handed sterile neutrinos with masses smaller than the electroweak scale (nuMSM) is discussed in a Q_6 flavor symmetry framework. The lightness of the keV sterile neutrino and the near mass degeneracy ... More

Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with SwirlAug 12 2006In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis. An important ... More

The Conversion of CESR to Operate as the Test Accelerator, CesrTA, Part 2: Vacuum ModificationsMay 12 2015Jun 26 2015Cornell's electron/positron storage ring (CESR) was modified over a series of accelerator shutdowns beginning in May 2008, which substantially improves its capability for research and development for particle accelerators. CESR's energy span from 1.8 ... More

A Markov Chain Approximation of a Segment Description of ChaosFeb 03 2010We test a Markov chain approximation to the segment description (Li, 2007) of chaos (and turbulence) on a tent map, the Minea system, the H\'enon map, and the Lorenz system. For the tent map, we compute the probability transition matrix of the Markov ... More

Schrodinger equation and wave equation on finite graphsJul 22 2012In this paper, we study the schrodinger equation and wave equation with the Dirichlet boundary condition on a connected finite graph. The explicit expressions for solutions are given and the energy conservations are derived. Applications to the corresponding ... More

Characteristics of convection and overshooting in RGB and AGB starsJul 05 2011Based on the turbulent convection model (TCM) of Li & Yang (2007), we have studied the characteristics of turbulent convection in the envelopes of 2 and 5M stars at the RGB and AGB phases. The TCM has been applied successfully in the whole convective ... More

Turbulent convection model in the overshooting region: II. Theoretical analysisFeb 20 2012Feb 21 2012Turbulent convection models are thought to be good tools to deal with the convective overshooting in the stellar interior. However, they are too complex to be applied in calculations of stellar structure and evolution. In order to understand the physical ... More

Partially dark optical molecule via phase controlAug 02 2016We study the tunable photonic distribution in an optical molecule consisting of two linearly coupled single-mode cavities. With the inter-cavity coupling and two driving fields, the energy levels of the optical-molecule system form a closed cyclic energy-level ... More

Quantum Memory Based on $Λ$-Atoms Ensemble with Two-Photon Resonance EITFeb 24 2004We study the $\Lambda$-atoms ensemble based quantum memory for the storage of the quantum information carried by a probe light field. Two atomic Rabi transitions of the ensemble are coupled to the quantum probe field and classical control field respectively ... More

Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler EquationsAug 11 2006In this paper, we perform a careful numerical study of nearly singular solutions of the 3D incompressible Euler equations with smooth initial data. We consider the interaction of two perturbed antiparallel vortex tubes which was previously investigated ... More

Chaotic Spin Dynamics of a Long Nanomagnet Driven by a CurrentMay 01 2008We study the spin dynamics of a long nanomagnet driven by an electrical current. In the case of only DC current, the spin dynamics has a sophisticated bifurcation diagram of attractors. One type of attractors is a weak chaos. On the other hand, in the ... More

Computing Nearly Singular Solutions Using Pseudo-Spectral MethodsJan 12 2007In this paper, we investigate the performance of pseudo-spectral methods in computing nearly singular solutions of fluid dynamics equations. We consider two different ways of removing the aliasing errors in a pseudo-spectral method. The first one is the ... More

A mathematical model of demand-supply dynamics with collectability and saturation factorsJun 21 2016We introduce a mathematical model on the dynamics of demand and supply incorporating collectability and saturation factors. Our analysis shows that when the fluctuation of the determinants of demand and supply is strong enough, there is chaos in the demand-supply ... More

Modeling the Formation of Globular Cluster Systems in the Virgo ClusterMay 05 2014Nov 03 2014The mass distribution and chemical composition of globular cluster (GC) systems preserve fossil record of the early stages of galaxy formation. The observed distribution of GC colors within massive early-type galaxies in the ACS Virgo Cluster Survey (ACSVCS) ... More

QFT Treatment of the Klein ParadoxMar 31 2015It is well known that, Klein paradox is one of the most exotic and counterintuitive consequences of quantum theory. Nevertheless, many discussions about the Klein paradox are based upon single-particle Dirac equation in quantum mechanics rather than quantum ... More

A resolution of the turbulence paradox: numerical implementationMay 19 2009Jul 18 2011Sommerfeld paradox (turbulence paradox) roughly says that mathematically the Couette linear shear flow is linearly stable for all values of the Reynolds number, but experimentally transition from the linear shear to turbulence occurs under perturbations ... More

A Resolution of the Sommerfeld ParadoxApr 29 2009Oct 11 2010Sommerfeld paradox roughly says that mathematically Couette linear shear is linearly stable for all Reynolds number, but experimentally arbitrarily small perturbations can induce the transition from the linear shear to turbulence when the Reynolds number ... More

Interaction and Eruption of Two Filaments Observed by Hinode, SOHO, and STEREONov 17 2011Nov 21 2011We investigate the interaction between two filaments and the subsequent filament eruption event observed from different view angles by Hinode, the Solar and Heliospheric Observatory (SOHO), and the Solar Terrestrial Relations Observatory (STEREO). In ... More

Algebras associated with Blaschke products of type {\it G}Dec 14 1995Let $\Omega$ and $\Omega_{\fin}$ be the sets of all interpolating Blaschke products of type $G$ and of finite type $G$, respectively. Let $E$ and $E_{\fin}$ be the Douglas algebras generated by $H^\infty$ together with the complex conjugates of elements ... More

Matter Effects in Active-Sterile Solar Neutrino OscillationsOct 30 2009Dec 21 2009The matter effects for solar neutrino oscillations are studied in a general scheme with an arbitrary number of sterile neutrinos, without any constraint on the mixing, assuming only a realistic hierarchy of neutrino squared-mass differences in which the ... More

On the Dynamics of Navier-Stokes and Euler EquationsNov 10 2006This is a rather comprehensive study on the dynamics of Navier-Stokes and Euler equations via a combination of analysis and numerics. We focus upon two main aspects: (a). zero viscosity limit of the spectra of linear Navier-Stokes operator, (b). heteroclinics ... More

Enumeration of Rota-Baxter WordsFeb 21 2006Jun 26 2006In this paper, we prove results on enumerations of sets of Rota-Baxter words in a finite number of generators and a finite number of unary operators. Rota-Baxter words are words formed by concatenating generators and images of words under Rota-Baxter ... More

Chemical mixing by turbulent convection in the overshooting region below the convective envelope of RGB starsFeb 20 2012Based on the turbulent convection model (TCM), we investigate chemical mixing in the bottom overshooting region of the convective envelope of intermediate-mass stars, focusing on its influence on the formation and extension of blue loops in the Hertzsprung-Russell ... More

Different Patterns of Chromospheric Evaporation in a Flaring Region Observed with Hinode/EISNov 20 2010We investigate the chromospheric evaporation in the flare of 2007 January 16 using line profiles observed by the EUV Imaging Spectrometer (EIS) onboard Hinode. Three points at flare ribbons of different magnetic polarities are analyzed in detail. We find ... More

Group Velocity of a Probe Light in an Ensemble of Lambda Atoms under Two-Photon ResonanceDec 10 2003Jun 02 2004We study the propagation of a probe light in an ensemble of $\Lambda$-type atoms, utilizing the dynamic symmetry as recently discovered when the atoms are coupled to a classical control field and a quantum probe field {[Sun {\it et al.,} Phys. Rev. Lett. ... More

Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler EquationsFeb 21 2006We study the interplay between the local geometric properties and the non-blowup of the 3D incompressible Euler equations. We consider the interaction of two perturbed antiparallel vortex tubes using Kerr's initial condition \cite{Kerr93}[Phys. Fluids ... More

On symmetric commutator subgroups, braids, links and homotopy groupsFeb 02 2010In this paper, we investigate some applications of commutator subgroups to homotopy groups and geometric groups. In particular, we show that the intersection subgroups of some canonical subgroups in certain link groups modulo their symmetric commutator ... More

Global Asymptotics of Stieltjes-Wigert PolynomialsFeb 21 2013Jun 11 2013Asymptotic formulas are derived for the Stieltjes-Wigert polynomials $S_n(z;q)$ in the complex plane as the degree $n$ grows to infinity. One formula holds in any disc centered at the origin, and the other holds outside any smaller disc centered at the ... More

Lattice Vibrational Modes and their Frequency Shifts in Semiconductor NanowiresAug 28 2011We have performed first-principles calculations to study the lattice vibrational modes and their Raman activities in silicon nanowires (SiNWs). Two types of characteristic vibrational modes are examined: high-frequency optical modes and low-frequency ... More

A Monte Carlo Simulation on Clustering Dynamics of Social AmoebaeJul 18 2011May 13 2013A discrete model for computer simulations of the clustering dynamics of Social Amoebae is presented. This model incorporates the wavelike propagation of extracellular signaling cAMP, the sporadic firing of cells at early stage of aggregation, the signal ... More

Observation of Landau levels of Dirac fermions in graphiteMay 08 2007The low energy electronic excitations in single layer and bilayer graphite (graphene) resemble quantum-relativistic particles also known as Dirac Fermions (DF). They possess an internal degree of freedom, chirality, that leads to unusual Landau Level ... More

Rescattering Effects on Intensity InterferometryMar 29 2005We derive a general formula for the correlation function of two identical particles with the inclusion of multiple elastic scatterings in the medium in which the two particles are produced. This formula involves the propagator of the particle in the medium. ... More

Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes EquationsMar 06 2006We prove the nonexistence of local self-similar solutions of the three dimensional incompressible Navier-Stokes equations. The local self-similar solutions we consider here are different from the global self-similar solutions. The self-similar scaling ... More

Multivariate spacings based on data depth: I. Construction of nonparametric multivariate tolerance regionsJun 18 2008This paper introduces and studies multivariate spacings. The spacings are developed using the order statistics derived from data depth. Specifically, the spacing between two consecutive order statistics is the region which bridges the two order statistics, ... More

Probable ratio of the vacuum energy in a Schwarzchild-de Sitter spaceAug 25 2003Feb 07 2004The effects of the generalized uncertainty principle({\bf GUP}) on the cosmological constant problem are discussed in the Schwarzchild-deSitter spacetime, through studying the corrections to its thermodynamics. We derive the correction to the Hawking ... More

Integral and Series Representations of the Dirac Delta FunctionMar 08 2013Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics literature. These include integrals of products of Airy functions, and of Coulomb wave functions; they also include ... More

Life detection strategy based on infrared vision and ultra-wideband radar data fusionFeb 28 2019The life detection method based on a single type of information source cannot meet the requirement of post-earthquake rescue due to its limitations in different scenes and bad robustness in life detection. This paper proposes a method based on deep neural ... More

Galaxy Properties Derived with Spectral Energy Distribution Fitting in the Hawaii-Hubble Deep Field-NorthSep 30 2018We compile multi-wavelength data from ultraviolet to infrared (IR) bands as well as redshift and source-type information for a large sample of 178,341 sources in the Hawaii-Hubble Deep Field-North field. A total of 145,635 sources among the full sample ... More

On the Nature of the Extreme-Ultraviolet Late Phase of Solar FlaresJul 22 2014The extreme-ultraviolet (EUV) late phase of solar flares is a second peak of warm coronal emissions (e.g., Fe XVI) for many minutes to a few hours after the GOES soft X-ray peak. It was first observed by the EUV Variability Experiment (EVE) on board the ... More

Magnetic Coupling in Ferromagnetic Semiconductor GaMnAs/AlGaMnAs Bilayer DevicesJan 24 2015We carefully investigated the ferromagnetic coupling in the as-grown and annealed ferromagnetic semiconductor GaMnAs/AlGaMnAs bilayer devices. We observed that the magnetic interaction between the two layers strongly affects the magnetoresistance of the ... More

Asteroseismology of the ZZ Ceti star KUV 11370+4222Oct 27 2013KUV 11370+4222 is a ZZ Ceti star discovered in 1996, which has not been observed since then. We performed observations for KUV 11370+4222 in 2010 January. From the Fourier transform spectrum of the light curves, ten independent modes are detected. We ... More

Nonlinear optomechanics with gain and loss: amplifying higher-order sideband and group delayFeb 17 2016Aug 07 2016We study the nonlinear optomechanically-induced transparency (OMIT) with gain and loss. We find that (i) for a single active cavity, significant enhancement can be achieved for the higher-order sidebands, including the transmission rate and the group ... More

On Symplectic and Multisymplectic Srtuctures and their Discrete Versions in Lagrangian FormalismApr 06 2001Aug 13 2001We introduce the Euler-Lagrange cohomology to study the symplectic and multisymplectic structures and their preserving properties in finite and infinite dimensional Lagrangian systems respectively. We also explore their certain difference discrete counterparts ... More

Large spin pumping effect in antisymmetric precession of Ni$_{79}$Fe$_{21}$/Ru/Ni$_{79}$Fe$_{21}$Mar 25 2016In magnetic trilayer structures, a contribution to the Gilbert damping of ferromagnetic resonance arises from spin currents pumped from one layer to another. This contribution has been demonstrated for layers with weakly coupled, separated resonances, ... More

A possible link among pulsar timing noise intermittency and hidden ultra-compact binariesFeb 26 2013The quasi-periodic feature of 1-10 years exhibited in pulsar timing noise has not been well understood since 1980. The recently demonstrated correlation between timing noise and variation of pulse profile motivates us to further investigate its origins. ... More

Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power GridsJul 15 2016Maintaining the stability of synchronization state is crucial for the functioning of many natural and artificial systems. In this study, we develop methods to optimize the synchronization stability of the Kuramoto model by minimizing the dominant Lyapunov ... More

Lattice supersolid phase of strongly correlated bosons in an optical cavityMay 03 2012May 22 2013We numerically simulate strongly correlated ultracold bosons coupled to a high-finesse cavity field, pumped by a laser beam in the transverse direction. Assuming a weak classical optical lattice added in the cavity direction, we model this system by a ... More

Uniqueness in inverse boundary value problems for fractional diffusion equationsApr 28 2014We consider an inverse boundary value problem for diffusion equations with multiple fractional time derivatives. We prove the uniqueness in determining a number of fractional time-derivative terms, the orders of the derivatives and spatially varying coefficients. ... More

Induced Magnetic Monopole from Trapped $Λ$-Type AtomApr 20 2004We investigate the spatial motion of the trapped atom with the electromagnetically induced transparency (EIT) configuration where the two Rabi transitions are coupled to two classical light fields respectively with the same detuning. When the internal ... More

A topological look at the quantum spin Hall stateJan 09 2012We propose a topological understanding of the quantum spin Hall state without considering any symmetries, and it follows from the gauge invariance that either the energy gap or the spin spectrum gap needs to close on the system edges, the former scenario ... More

Flux rope proxies and fan-spine structures in active region NOAA 11897Jun 30 2016Employing the high-resolution observations from the Solar Dynamics Observatory (SDO) and the Interface Region Imaging Spectrograph (IRIS), we statistically investigate flux rope proxies in NOAA AR 11897 from 14-Nov-2013 to 19-Nov-2013 and display two ... More

The Annihilating-Ideal Graph of a RingNov 15 2014Let $S$ be a semigroup with $0$ and $R$ be a ring with $1$. We extend the definition of the zero-divisor graphs of commutative semigroups to not necessarily commutative semigroups. We define an annihilating-ideal graph of a ring as a special type of zero-divisor ... More

Stellar mass versus stellar velocity dispersion: which is better for linking galaxies to their dark matter halos?Oct 21 2012Nov 21 2012It was recently suggested that, compared to its stellar mass (M*), the central stellar velocity dispersion (sigma*) of a galaxy might be a better indicator for its host dark matter halo mass. Here we test this hypothesis by estimating the dark matter ... More

An enthalpy-based multiple-relaxation-time lattice Boltzmann method for solid-liquid phase change heat transfer in metal foamsDec 28 2016Jul 22 2017In this paper, an enthalpy-based multiple-relaxation-time (MRT) lattice Boltzmann (LB) method is developed for solid-liquid phase change heat transfer in metal foams under local thermal non-equilibrium (LTNE) condition. The enthalpy-based MRT-LB method ... More

Skeleton decomposition of linear operators in the theory of degenerate differential equationsNov 29 2015Jan 22 2016We suggest method based on the skeleton decomposition of linear operators in order to reduce ill-posed degenerate differential equations to the non-classic initial-value problem enjoying unique solution

RGB-D Salient Object Detection Based on Discriminative Cross-modal Transfer LearningMar 01 2017May 31 2017In this work, we propose to utilize Convolutional Neural Networks to boost the performance of depth-induced salient object detection by capturing the high-level representative features for depth modality. We formulate the depth-induced saliency detection ... More

Coronal magnetic topology and the production of solar impulsive energetic electronsJul 17 2013We investigate two candidate solar sources or active regions (ARs) in association with a solar impulsive energetic electron (SIEE) event on 2002 October 20. The solar particle release (SPR) times of SIEEs are derived by using their velocity dispersion ... More

Spin wave based quantum storage of electronic spin with a ring array of nuclear spinsSep 18 2004Apr 14 2006We propose a solid state based protocol to implement the universal quantum storage for electronic spin qubit. The quantum memory in this scheme is the spin wave excitation in the ring array of nuclei in a quantum dot. We show that the quantum information ... More

The Butterfly Decomposition of Plane TreesNov 02 2005We introduce the notion of doubly rooted plane trees and give a decomposition of these trees, called the butterfly decomposition which turns out to have many applications. From the butterfly decomposition we obtain a one-to-one correspondence between ... More

Adiabatic passage of collective excitations in atomic ensemblesJun 27 2003We describe a theoretical scheme that allows for transfer of quantum states of atomic collective excitation between two macroscopic atomic ensembles localized in two spatially-separated domains. The conception is based on the occurrence of double-exciton ... More

Robust Multiple-Range Coherent Quantum State TransferDec 07 2015We propose a multiple-range quantum communication channel to realize coherent two-way quantum state transport with high fidelity. In our scheme, an information carrier (a qubit) and its remote partner are both adiabatically coupled to the same data bus, ... More

Bosonization for 2D Interacting Fermion Systems: Non-Fermi Liquid BehaviorJan 11 1994Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with non-singular interactions using Haldane's bosonization scheme. The bosonized system is solved exactly by a generalized Bogoliubov transformation. The fermion momentum ... More

Impulsive cylindrical gravitational wave: one possible radiative form emitted from cosmic strings and corresponding electromagnetic responseMar 28 2014May 04 2014The cosmic strings(CSs) may be one important source of gravitational waves(GWs), and it has been intensively studied due to its special properties such as the cylindrical symmetry. The CSs would generate not only usual continuous GW, but also impulsive ... More

Merging Strangeon StarsOct 13 2017Mar 13 2018The state of supranuclear matter in compact star remains puzzling, and it is argued that pulsars could be strangeon stars. What if binary strangeon stars merge? This kind of merger could result in the formation of a hyper-massive strangeon star, accompanied ... More

Tracking Back the Solar Wind to its Photospheric Footpoints from Wind Observations -- A Statistical StudyFeb 25 2014It is of great importance to track the solar wind back to its photospheric source region and identify the related current sheets; this will provide key information for investigating the origin and predictions of the solar wind. We report a statistical ... More

Observation of flux tube crossings in the solar windApr 06 2013Current sheets are ubiquitous in the solar wind.They are a major source of the solar wind MHD turbulence intermittency. They may result from non-linear interactions of the solar wind MHD turbulence or are the boundaries of flux tubes that originate from ... More

On John domains in Banach spacesSep 24 2013We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense that removing a certain type of closed countable set from the domain yields ... More

On recent data of branching ratios for psi(2S)-->J/psi pi pi and psi(2S)-->J/psi etaDec 22 1998Jan 06 1999Recent data on branching ratios for \psi(2S) decays to J/\psi\pi^+\pi^-, J/\psi\pi^0\pi^0 and J/\psi\eta are reviewed. An alternative treatment of data is proposed to get rid of the logical inconsistency which occurs in original computational procedure. ... More

A frustrated honeycomb-bilayer Heisenberg antiferromagnet: The spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ modelNov 10 2016We use the coupled cluster method to study the zero-temperature quantum phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on the honeycomb bilayer lattice. In each layer we include both nearest-neighbor and frustrating next-nearest-neighbor ... More

Exploring the locally low dimensional structure in solving random elliptic PDEsJul 03 2016We propose a stochastic multiscale finite element method (StoMsFEM) to solve random elliptic partial differential equations with a high stochastic dimension. The key idea is to simultaneously upscale the stochastic solutions in the physical space for ... More

Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochloreApr 30 2015Aug 13 2015We study the zero-temperature ground-state (GS) properties of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore, using the coupled cluster method (CCM) implemented to high orders of approximation. The system comprises a $J_{1}$--$J_{2}$ model on the ... More

Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnetsNov 30 2011Using the coupled cluster method we investigate spin-$s$ $J_{1}$-$J_{2}'$ Heisenberg antiferromagnets (HAFs) on an infinite, anisotropic, triangular lattice when the spin quantum number $s=1$ or $s=3/2$. With respect to a square-lattice geometry the model ... More

Large-$s$ expansions for the low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet with spin quantum number $s$Dec 03 2015Jan 30 2016The coupled cluster method (CCM) is employed to very high orders of approximation to study the ground-state (GS) properties of the spin-$s$ Heisenberg antiferromagnet (with isotropic interactions, all of equal strength, between nearest-neighbour pairs ... More

Ground-state phases of the spin-1 $J_{1}$--$J_{2}$ Heisenberg antiferromagnet on the honeycomb latticeFeb 29 2016Jun 15 2016We study the zero-temperature quantum phase diagram of a spin-1 Heisenberg antiferromagnet on the honeycomb lattice with both nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv \kappa J_{1} > 0$, ... More

Coherent structure of Alice-Bob modified Korteweg de-Vries EquationJun 25 2017To describe two-place events, Alice-Bob systems have been established by means of the shifted parity and delayed time reversal in Ref. [1]. In this paper, we mainly study exact solutions of the integrable Alice-Bob modified Korteweg de-Vries (AB-mKdV) ... More

Nuclear Star Clusters in Cosmological SimulationsApr 25 2018Jul 23 2018We investigate the possible connection between the most massive globular clusters, such as $\omega$ Cen and M54, and nuclear star clusters of dwarf galaxies that exhibit similar spreads in age and metallicity. We examine galactic nuclei in cosmological ... More

Differential Type Operators and Gröbner-Shirshov BasesOct 05 2012A long standing problem of Gian-Carlo Rota for associative algebras is the classification of all linear operators that can be defined on them. In the 1970s, there were only a few known operators, for example, the derivative operator, the difference operator, ... More

A Possible Bias Model for QuasarsApr 10 1998We propose that the majority of quasars at redshift $z\sim 1 - 5$ formed in the environment of new born collapsed halos with 1-D velocity dispersion $\sigma_v^{1d} \sim 400 \kms$. The harboring coefficient $f$ of quasars per halo and the lifetime of quasars ... More

Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power GridsJul 15 2016Jan 14 2017Maintaining the stability of synchronization state is crucial for the functioning of many natural and artificial systems. In this study, we develop methods to optimize the synchronization stability of the Kuramoto model by minimizing the dominant Lyapunov ... More

Minimum-Energy Mobile Wireless Networks RevisitedSep 05 2002We propose a protocol that, given a communication network, computes a subnetwork such that, for every pair $(u,v)$ of nodes connected in the original network, there is a minimum-energy path between $u$ and $v$ in the subnetwork (where a minimum-energy ... More

Many-body approach to the dynamics of batch learningSep 01 1999Using the cavity method and diagrammatic methods, we model the dynamics of batch learning of restricted sets of examples, widely applicable to general learning cost functions, and fully taking into account the temporal correlations introduced by the recycling ... More

Assessment of Transverse Instabilities in Proton Driven Hollow Plasma Wakefield AccelerationMay 08 2018Hollow plasma has been introduced into the proton-driven plasma wakefield accelerators to overcome the issue of beam quality degradation caused by the nonlinear transverse wakefields varying in radius and time in uniform plasma. It has been demonstrated ... More

A Note on Symplectic AlgorithmsApr 06 2001Aug 09 2001We present the symplectic algorithm in the Lagrangian formalism for the Hamiltonian systems by virtue of the noncommutative differential calculus with respect to the discrete time and the Euler--Lagrange cohomological concepts. We also show that the trapezoidal ... More

The minimum magnetic field of millisecond pulsars calculated according to accretion: application to the X-ray neutron star SAX J1808.4-3658 in a low-mass X-ray binaryAug 02 2018Based on the model of the accretion-induced magnetic field decay of a neutron star (NS), millisecond pulsars (MSPs) will obtain their minimum magnetic field when the NS magnetosphere radius shrinks to the stellar surface during the binary accretion phase. ... More

Penguin Enhancement and $B\to Kπ$ decays in perturbative QCDApr 18 2000We compute branching ratios of $B\to K\pi$ decays in the framework of perturbative QCD factorization theorem. Decay amplitudes are classified into the topologies of tree, penguin and annihilation, all of which contain both factorizable and nonfactorizable ... More

A Novel PQCD Approach in Charmless B-meson DecaysJan 12 2002Sep 12 2002We discuss a novel pertubative QCD approach on the exclusive non-leptonic two body B-meson decays. We briefly review its ingredients and some important theoretical issues on the factorization approaches. We show numerical results which is compatible with ... More

Spectroscopic and Photometric Observations of Unidentified Ultraviolate Variable Objects in GUVV-2 CatalogMar 30 2011An NUV-optical diagram made for sources from the secend Galaxy Evolution Explorer (GALEX) Ultraviolet Variability (GUVV-2) Catalog provide us a method to tentatively classify the unknown GUVV2 sources by their NUV-optical magnitudes. On the purpose of ... More

Optical unidirectional amplification in a three-mode optomechanical systemMay 24 2017Jul 28 2017We study the directional amplification of an optical probe field in a three-mode optomechanical system, where the mechanical resonator interacts with two linearly-coupled optical cavities and the cavities are driven by strong optical pump fields. The ... More

Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4Nov 23 2016We present the ultra-low-temperature specific heat and thermal conductivity measurements on the single crystals of YbMgGaO$_4$, which was recently argued to be a promising candidate for quantum spin liquid (QSL). In the zero magnetic field, a large magnetic ... More

Localization of Relative-Position of Two Atoms Induced by Spontaneous EmissionJan 16 2005We revisit the back-action of emitted photons on the motion of the relative position of two cold atoms. We show that photon recoil resulting from the spontaneous emission can induce the localization of the relative position of the two atoms through the ... More

Ratio of Hadronic Decay Rates of Jψand ψ(2S) and the ρπ PuzzleOct 19 1999Nov 27 2000The so-called \rho\pi puzzle of J\psi and \psi(2S) decays is examined using the experimental data available to date. Two different approaches were taken to estimate the ratio of J\psi and \psi(2S) hadronic decay rates. While one of the estimates could ... More

Electronic Transport in Hybrid Mesoscopic Structures: A Nonequilibrium Green Function ApproachJan 15 2003Jul 15 2003We present a unified transport theory of hybrid structures, in which a confined normal state ($N$) sample is sandwiched between two leads each of which can be either a ferromagnet ($F$) or a superconductor ($S$) via tunnel barriers. By introducing a four-dimensional ... More

Electron transport in interacting hybrid mesoscopic systemsAug 08 2002Apr 19 2003A unified theory for the current through a nanoscale region of interacting electrons connected to two leads which can be either ferromagnet or superconductor is presented, yielding Meir-Wingreen-type formulas when applied to specific circumstances. In ... More