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Axial Charge Fluctuation and Chiral Magnetic Effect from Stochastic HydrodynamicsFeb 14 2018The amount of axial charge produced in heavy ion collisions is one of the key quantities in understanding chiral magnetic effect. Current phenomenological studies assume large axial charge chemical potential $\mu_5$ produced in Glasma phase and assume ... More

Reed-Muller Sequences for 5G Grant-free Massive AccessJan 16 2018We propose to use second order Reed-Muller (RM) sequence for user identification in 5G grant-free access. The benefits of RM sequences mainly lie in two folds, (i) support of much larger user space, hence lower collision probability and (ii) lower detection ... More

Multicolor Photometry of the Merging Galaxy Cluster A2319: Dynamics and Star Formation PropertiesMay 12 2015Asymmetric X-ray emission and powerful cluster-scale radio halo indicate that A2319 is a merging cluster of galaxies. This paper presents our multicolor photometry for A2319 with 15 optical intermediate filters in the Beijing-Arizona-Taiwan-Connecticut ... More

Degrees of freedom of $f(T)$ gravityMay 30 2011Jul 29 2011We investigate the Hamiltonian formulation of $f(T)$ gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class constraints in ... More

Higher Order Perturbation Corrections of Rotating Excited States in the Standard SU(3) Skyrme Model to Baryon Mass SpectrumJan 24 1997The higher order corrections of SU(3) rotating excited states to the Gell-Mann-Okubo Relations (or GOR) are presented in the standard SU(3) Skyrme model.The Improved GOR (or IGOR) are obtained. The results show the IGOR for decuplet up to the third order ... More

Cluster algebras and snake modulesAug 14 2015Nov 02 2018Snake modules introduced by Mukhin and Young form a family of modules of quantum affine algebras. The aim of this paper is to prove that the Hernandez-Leclerc conjecture about monoidal categorifications of cluster algebras is true for prime snake modules ... More

Strong law of large number of a class of super-diffusionsFeb 17 2011In this paper we prove that, under certain conditions, a strong law of large numbers holds for a class of super-diffusions $X$ corresponding to the evolution equation $\partial_t u_t=L u_t+\beta u_t-\psi(u_t)$ on a bounded domain $D$ in $\R^d$, where ... More

On the minimal affinizations of type $F_4$Feb 09 2015Mar 15 2015In this paper, we apply the theory of cluster algebras to study minimal affinizations for the quantum affine algebra of type $F_4$. We show that the $q$-characters of a large family of minimal affinizations of type $F_4$ satisfy a system of equations. ... More

On the minimal affinizations over the quantum affine algebras of type $C_n$May 22 2015In this paper, we study the minimal affinizations over the quantum affine algebras of type $C_n$ by using the theory of cluster algebras. We show that the $q$-characters of a large family of minimal affinizations of type $C_n$ satisfy some systems of ... More

Cosmological Evolution of Supermassive Black Holes: Mass Functions and SpinsDec 10 2012We derive the mass function of supermassive black holes (SMBHs) over the redshift range 0<z<2, using the latest deep luminosity and mass functions of field galaxies. Applying this mass function, combined with the bolometric luminosity function of active ... More

Cosmological evolution of supermassive black holes. I. mass function at 0<z<2Sep 01 2011We present the mass function of supermassive black holes (SMBHs) over the redshift range z=0-2, using the latest deep luminosity and mass functions of field galaxies to constrain the masses of their spheroids, which we relate to SMBH mass through the ... More

A Non-parametric Approach to Constrain the Transfer Function in Reverberation MappingAug 12 2016Aug 16 2016Broad emission lines of active galactic nuclei stem from a spatially extended region (broad-line region; BLR) that are composed of discrete clouds and photoionized by the central ionizing continuum. The temporal behaviors of these emission lines are blurred ... More

Star formation properties of galaxy cluster A1767May 12 2015Abell 1767 is a dynamically relaxed, cD cluster of galaxies with a redshift of 0.0703. Among 250 spectroscopically confirmed member galaxies within a projected radius of 2.5r_{200}, 243 galaxies (~ 97%) are spectroscopically covered by the Sloan Digital ... More

Dissipative preparation of entangled states between two spatially separated nitrogen-vacancy centersOct 31 2011Apr 04 2012We present a novel scheme for the generation of entangled states of two spatially separated nitrogen-vacancy (NV) centers with two whispering-gallery-mode (WGM) microresonators, which are coupled either by an optical fiber-taper waveguide, or by the evanescent ... More

Implementing the Deutsch's algorithm with spin-orbital angular momentum of photon without interferometerJul 24 2012Deutsch's algorithm is the simplest quantum algorithm which shows the acceleration of quantum computer. In this paper, we theoretically advance a scheme to implement quantum Deutsch's algorithm in spin-orbital angular momentum space. Our scheme exploits ... More

Forward-backward multiplicity correlations of target fragments in nucleus-emulsion collisions at a few hundred MeV/nucleonMar 16 2014The forward-backward multiplicity and correlations of target evaporated fragment(black track particle) and target recoiled proton(grey track particle) emitted in 150 A MeV He-emulsion, 290 A MeV C-emulsion, 400 A MeV C-emulsion, 400 A MeV Ne-emulsion ... More

Family of boron fullerenes: general constructing schemes, electron counting rule and ab initio calculationsNov 10 2008Sep 14 2009A set of general constructing schemes is unveiled to predict a large family of stable boron monoelemental, hollow fullerenes with magic numbers 32+8k (k>=0). The remarkable stabilities of these new boron fullerenes are then studied by intense ab initio ... More

Primitive orthogonal idempotents of Brandt semigroup algebras and Brandt semigroup codesMay 22 2015Aug 29 2015In this paper, we construct a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra. As applications, we define a new class of codes called Brandt semigroup codes and compute the Cartan matrices of some Brandt semigroup ... More

Magnetic-field-induced transition from metastable spin glass to possible antiferromagnetic-ferromagnetic phase separation in $Cd_{0.5}Cu_{0.5}Cr_2O_4$Jan 28 2008Using ac susceptibility, dc magnetization and heat capacity measurements, we have investigated the magnetic properties of $Cd_{0.5}Cu_{0.5}Cr_2O_4$. $Cd_{0.5}Cu_{0.5}Cr_2O_4$ has an extraordinary magnetic phase including a metastable spin-glass(SG) phase ... More

Layer dependence of geometric, electronic and piezoelectric properties of SnSeMar 06 2016By means of first-principles calculations, we explore systematically the geometric, electronic and piezoelectric properties of multilayer SnSe. We find that these properties are layer-dependent, indicating that the interlayer interaction plays an important ... More

M-systems and Cluster algebrasDec 31 2014Jul 12 2015The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types $A_{n}$ and $B_{n}$ respectively; (2) make a connection between M-systems (dual M-systems) and cluster algebras and prove that the ... More

Quantum rearrangement and self-consistent BCS-BEC crossover thermodynamicsFeb 24 2007Aug 02 2007Based on previous works, analytical calculational procedures for dealing with the strongly interacting fermions ground state are further developed through a medium dependent potential in terms of the Bethe-Peierls contact interaction model. The methods ... More

Self-consistent dynamical model of the Broad Line RegionMay 24 2017Jun 14 2017We develope a self-consistent description of the Broad Line Region based on the concept of the failed wind powered by the radiation pressure acting on dusty accretion disk atmosphere in Keplerian motion. The material raised high above the disk is illuminated, ... More

Mean-Field Limit for a Collision-Avoiding Flocking System and the Time-Asymptotic Flocking Dynamics for the Kinetic EquationNov 01 2013Nov 14 2013A Collision-Avoiding flocking particle system proposed in [8] is studied in this paper. The global wellposedness of its corresponding Vlasov-type kinetic equation is proved. As a corollary of the global stability result, the mean field limit of the particle ... More

Polarization rotation enhancement by high-order waveguide mode coupling in magnetophotonic crystalsJun 22 2006Inter-modal coupling in photonic bandgap optical channels in magnetic films is used to leverage the transverse-electric (TE) to transverse-magnetic (TM) mode conversion due to the Faraday Effect. The underlying mechanism is traced to the dependence of ... More

On the extended T-system of type $C_3$May 09 2013Oct 26 2015We continue the study of extended T-systems of quantum affine algebras. We find a sub-system of the extended T-system of the quantum affine algebra $U_q \hat{\mathfrak{g}}$ of type $C_3$. The sub-system consisting of four systems which are denoted by ... More

Combined Analysis of the CP Properties of The Higgs Boson in Effective Higgs LagrangianOct 08 2014Jan 17 2015CP violation effects of the Higgs stem from not only CP-violation interactions but also an ambiguous defined CP state. The two CPV sources are coherently studied based on an effective Higgs Lagrangian. The constraints from unitarity limits for $WW$ and ... More

Rashbon condensation in a Bose gas with Rashba spin-orbit couplingJun 27 2013May 12 2014We show that in a two-component Bose gas with Rashba spin-orbit coupling (SOC) two atoms can form bound states (Rashbons) with any intra-species scattering length. At zero center-of-mass momentum there are two degenerate Rashbons due to time-reversal ... More

Deterministic entanglement swapping in a superconducting circuitFeb 28 2019Entanglement swapping allows two particles that have never been coupled directly or indirectly to be nonlocally correlated. Besides fundamental interest, this procedure has applications in complex entanglement manipulation and quantum communication. Entanglement ... More

Phase-Sensitive measurements on the corner junction of iron-based superconductor BaFe1.8Co0.2As2Dec 17 2008We have made a phase-sensitive measurement on the corner junction of the iron-based superconductor BaFe1.8Co0.2As2, and observed the typical Fraunhofer-like diffraction pattern. The result suggests that there is no phase shift between the a-c face and ... More

Three-term recurrence relations of minimal affinizations of type $G_2$Dec 12 2014Apr 14 2017Minimal affinizations form a class of modules of quantum affine algebras introduced by Chari. We introduce a system of equations satisfied by the $q$-characters of minimal affinizations of type $G_2$ which we call the M-system of type $G_2$. The M-system ... More

Glassy magnetic behavior induced by $Cu^{2+}$ substitution in frustrated antiferromagnet $ZnCr_2O_4$Feb 01 2008Structure and magnetic properties of the compounds $Zn_{1-x}Cu_xCr_2O_4$ (ZCCO) are investigated systematically. A structural phase transition from space-group symmetry $Fd3m$ to $I4_1/amd$ is observed in ZCCO. The critical value of the doping, $x$, appears ... More

Neutrino masses in the minimal gauged $(B-L)$ supersymmetryMar 13 2018We present the radiative corrections to neutrino masses in a minimal supersymmetric extension of the standard model with local $U(1)_{B-L}$ symmetry. At tree level, three tiny active neutrinos and two nearly massless sterile neutrinos can be obtained ... More

Progress in nonmagnetic impurity doping studies on Fe-based superconductorsOct 07 2015We review the progress of nonmagnetic impurity doping study on the Fe-based superconductors. On the theoretical side, two highly potential candidates for the pairing symmetry order parameter, i.e. the multi-gap s++ and s+- wave models, have been proposed ... More

SnSe monolayer: Super-flexible, auxetic material with ultralow lattice thermal conductivity and ultrahigh hole mobilityMay 18 2015By performing extensive first-principles calculations, we found that SnSe monolayer is an indirect band gap 1.45 eV semiconductor with many outstanding properties, including a large negative Poisson's ratio of -0.17, a very low lattice thermal conductivity ... More

On Characterizations of Some General $(α, β)$ Norms in a Minkowski SpaceMay 04 2015General $(\alpha, \beta)$ norms are an important class of Minkowski norms which contains the original $(\alpha, \beta)$ norms. In this note, by studying the behavior of the Darboux curves of the indicatrix, we give a characterization of 3-dimensional ... More

Feature Fusion Encoder Decoder Network For Automatic Liver Lesion SegmentationMar 28 2019Liver lesion segmentation is a difficult yet critical task for medical image analysis. Recently, deep learning based image segmentation methods have achieved promising performance, which can be divided into three categories: 2D, 2.5D and 3D, based on ... More

Two band gap field-dependent thermal conductivity of $MgB_2$Apr 17 2003The thermal conductivity $\kappa (H,T)$ of the new superconductor $MgB_2$ was studied as a function of the temperature and a magnetic field. No anomaly in the thermal conductivity $\kappa (H,T)$ is observed around the superconducting transition in absence ... More

Dirac particles tunneling from BTZ black holeFeb 27 2008We calculated the Dirac Particles' Hawking radiation from the outer horizon of BTZ black hole via tunneling formalism. Applying WKB approximation to the Dirac equation in (2+1) dimensional BTZ spacetime background, we obtain the radiation spectrum for ... More

The next-to-leading-order QCD correction to inclusive J/ψ(Υ) production in Z^0 decayJul 14 2010In this paper, we study the $J/\psi(\Upsilon)$ production in Z boson decay in color-singlet model(CSM). We calculate the next-to-leading-order (NLO) QCD correction to $Z \to Quarkonium+Q\bar{Q}$, the dominant contribution in the CSM, with the vector and ... More

To understand sQGP through non-topological FL modelMar 11 2010The non-topological FL model is studied at finite temperature and density. The soliton solutions of the FL model in deconfinement phase transition are solved and thoroughly discussed for different boundary conditions. We indicate that the solitons before ... More

Quasinormal Modes of Self-Dual Warped AdS$_3$ Black Hole in Topological Massive GravityAug 19 2010Sep 07 2010We consider the various perturbations of self-dual warped AdS$_3$ black hole and obtain the exact expressions of quasinormal modes by imposing the vanishing Dirichlet boundary condition at asymptotic infinity. It is expected that the quasinormal modes ... More

Photoproduction of $J/ψ$ in association with a $c\bar{c}$ pairApr 10 2009Based on the color-singlet model, we investigate the photoproduction of $J/\psi$ associated with a $c \bar{c}$ pair with all subprocesses including the direct, single-resolved, and double-resolved channels. The amplitude squared of these subprocesses ... More

The complete study on the inclusive production of Υ + γ at the LHCJan 08 2019In this paper we investigate the inclusive associated production of {\Upsilon} + {\gamma} at the hadron collider. We calculate the color-singlet sub-processes and all three color-octet sub-processes at the next-to-leading order. Seven sets of long distance ... More

Unified First Law and Thermodynamics of Dynamical Black Hole in n-dimensional Vaidya SpacetimeMay 30 2007May 31 2007As a simple but important example of dynamical black hole, we analysis the dynamical black hole in $n$-dimensional Vaidya spacetime in detail. We investigated the thermodynamics of field equation in $n$-dimensional Vaidya spacetime. The unified first ... More

Models and Representations of Gaussian Reciprocal and Conditionally Markov SequencesNov 19 2018Conditionally Markov (CM) sequences are powerful mathematical tools for modeling random phenomena. There are several classes of CM sequences one of which is the reciprocal sequence. Reciprocal sequences have been widely used in many areas including image ... More

Gaussian Reciprocal Sequences from the Viewpoint of Conditionally Markov SequencesNov 14 2018Nov 19 2018The conditionally Markov (CM) sequence contains several classes, including the reciprocal sequence. Reciprocal sequences have been widely used in many areas of engineering, including image processing, acausal systems, intelligent systems, and intent inference. ... More

Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion GravitySep 16 2010Motivated by the recently proposed Kerr/CFT correspondence, we investigate the holographic dual of the extremal and non-extremal rotating linear dilaton black hole in Einstein-Maxwell-Dilaton-Axion Gravity. For the case of extremal black hole, by imposing ... More

Nonlinear transport by vortex tangles in cuprate high-temperature superconductorsJun 01 2017A unified model of vortex tangles is proposed to describe unconventional transport in cuprate high-temperature superconductors, which not only captures the fast vortices scenario at low density, but also predicts a novel mechanism of core-core collisions ... More

A quantitative description of Nernst effect in high-temperature superconductorsJan 07 2017A quantitative vortex-fluid model for flux-flow resistivity $\rho$ and Nernst signal $e_N$ in high-temperature superconductors (HTSC) is proposed. Two kinds of vortices, magnetic and thermal, are considered, and the damping viscosity $\eta$ is modeled ... More

Next-to-Leading-Order study on the associate production of $J/ψ+γ$ at the LHCJan 27 2014The associate $J/\psi+\gamma$ production at the LHC is studied completely at next-to-leading-order (NLO) within the framework of nonrelativistic QCD. By using three sets of color-octet long-distance matrix elements (LDMEs) obtained in previous prompt ... More

Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γ production at the LHCNov 06 2008Jan 12 2009In this work, we calculate the next-to-leading-order (NLO) QCD corrections to the process $p+p \to J/\psi + \gamma$ via the color-singlet mechanism at the LHC. The results show that the partial cross section ($p_t^{J/\psi}>$3GeV and $|y^{J/\psi,\gamma}|<$3) ... More

Graded limits of minimal affinizations over the quantum loop algebra of type $G_2$Mar 07 2015Jul 16 2015The aim of this paper is to study the graded limits of minimal affinizations over the quantum loop algebra of type $G_2$. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and obtain defining relations of them. ... More

Stagewise Training Accelerates Convergence of Testing Error Over SGDDec 10 2018Feb 02 2019Stagewise training strategy is widely used for learning neural networks, which runs a stochastic algorithm (e.g., SGD) starting with a relatively large step size (aka learning rate) and geometrically decreasing the step size after a number of iterations. ... More

Hawking Radiation of Fermionic Field and Anomaly in 2+1 Dimensional Black HolesMay 20 2010The method of anomaly cancellation to derive Hawking radiation initiated by Robinson and Wilczek is applied to 2+1 dimensional stationary black holes. Using the dimensional reduction technique, we find that the near-horizon physics for the fermionic field ... More

Interpretation of Departure from the Broad Line Region Scaling in Active Galactic NucleiNov 23 2018Most results of the reverberation monitoring of active galaxies showed a universal scaling of the time delay of the Hbeta emission region with the monochromatic flux at 5100 A, with very small dipersion. Such a scaling favored the dust-based formation ... More

A way to measure the water quality of the LHAASO-WCDA with cosmic muon signalsJul 22 2016Feb 06 2017The Large High Altitude Air Shower Observatory (LHAASO) is to be built at Daocheng, Sichuan Province, China. As one of the major components of the LHAASO project, a Water Cherenkov Detector Array (WCDA), with an area of 78,000~$\rm m^{2}$, contains 350,000~tons ... More

A Holographic Study on Vector Condensate Induced by a Magnetic FieldSep 09 2013Dec 02 2013We study a holographic model with vector condensate by coupling the anti-de Sitter gravity to an Abelian gauge field and a charged vector field in $(3+1)$ dimensional spacetime. In this model there exists a non-minimal coupling of the vector filed to ... More

Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor ModelSep 05 2012Oct 18 2012We study the behaviors of entanglement entropy and vacuum expectation value of Wilson loop in the St\"{u}ckelberg holographic insulator/superconductor model. This model has rich phase structures depending on model parameters. Both the entanglement entropy ... More

Hydrodynamical noise and Gubser flowNov 23 2015Mar 16 2016Hydrodynamical noise is introduced on top of Gubser's analytical solution to viscous hydrodynamics. With respect to the ultra-central collision events of Pb-Pb, p-Pb and p-p at the LHC energies, we solve the evolution of noisy fluid systems and calculate ... More

LP-rounding Algorithms for the Fault-Tolerant Facility Placement ProblemMay 07 2012Apr 15 2013The Fault-Tolerant Facility Placement problem (FTFP) is a generalization of the classic Uncapacitated Facility Location Problem (UFL). In FTFP we are given a set of facility sites and a set of clients. Opening a facility at site $i$ costs $f_i$ and connecting ... More

Global and Simultaneous Hypothesis Testing for High-Dimensional Logistic Regression ModelsMay 17 2018Aug 24 2018High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression settings. A test ... More

Cost and Effects of Pinning Control for Network SynchronizationOct 15 2007In this paper, the problem of pinning control for synchronization of complex dynamical networks is discussed. A cost function of the controlled network is defined by the feedback gain and the coupling strength of the network. An interesting result is ... More

Testing the QCD fragmentation mechanism on heavy quarkonium production at LHCFeb 01 2011We calculate the fragmentation function for charm quark into J/psi at the QCD next-to-leading-order (NLO) and find that the produced J/psi is of larger momentum fraction than it is at the leading-order. Based on the fragmentation function and partonic ... More

Incorporating GAN for Negative Sampling in Knowledge Representation LearningSep 23 2018Knowledge representation learning aims at modeling knowledge graph by encoding entities and relations into a low dimensional space. Most of the traditional works for knowledge embedding need negative sampling to minimize a margin-based ranking loss. However, ... More

BCS-BEC transition in a Dilute Bose Gas with Spin-Orbit CouplingSep 30 2016We study a two-component Bose gas with a symmetric spin-orbit coupling, and find that two atoms can form a bound state with any intra- or inter-species scattering length. Consequently, in the dilute limit, a stable condensation of diatomic molecules in ... More

On cacti and crystalsMar 30 2018In the present work we study actions of various groups generated by involutions on the category $\mathscr O^{int}_q(\mathfrak g)$ of integrable highest weight $U_q(\mathfrak g)$-modules and their crystal bases for any symmetrizable Kac-Moody algebra $\mathfrak ... More

Efficient Core Maintenance in Large Dynamic GraphsJul 19 2012The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core decomposition in a static ... More

Entanglement distillation from Gaussian input states by coherent photon additionSep 17 2009May 17 2011The entanglement between Gaussian entangled states can be increased by non-Gaussian operations. We design a new scheme named coherent photon addition, which can coherently add one photon generated by spontaneous parametric down conversation process to ... More

Productions of X(1835) as baryonium with sizable gluon contentNov 15 2005Jun 27 2006The X(1835) has been treated as a baryonium with sizable gluon content, and to be almost flavor singlet. This picture allows us to rationally understand X(1835) production in $J/\psi$ radiative decays, and its large couplings with $p\bar{p}$, $\eta^{\prime}\pi\pi$. ... More

Strain-induced large band-gap topological insulator in a new stable silicon allotrope: dumbbell siliceneOct 28 2015By the generalized gradient approximation in framewok of density functional theory, we investigate a 2D topological insulator of new silicon allotrope (call dumbbell silicene synthesized recently by Cahangirov et al) through tuning external compression ... More

Critical Behavior of Ferromagnetic Ising Model on Triangular LatticeAug 31 2008Oct 11 2008We apply a new updating algorithm scheme to investigate the critical behavior of the two-dimensional ferromagnetic Ising model on a triangular lattice with nearest neighbour interactions. The transition is examined by generating accurate data for large ... More

Face-Centered-Cubic B$_{80}$ Metal: Density functional theory calculationsNov 08 2008By means of ab initio calculations within the density functional theory, we have found that B80 fullerenes can condense to form stable face-centered-cubic fcc solids. It is shown that when forming a crystal, B80 cages are geometrically distorted, the ... More

Cavity-induced giant Kerr nonlinearities in a driven V-type atomDec 19 2008Feb 17 2009We discuss a simple and experimentally realizable model for creation of enhanced Kerr nonlinearities accompanied by vanishing absorption. The model involves a V-type atom subjected to a strong drive laser, a weak probe laser and coupled to a single-mode ... More

Review of Deep LearningApr 05 2018Aug 28 2018In recent years, China, the United States and other countries, Google and other high-tech companies have increased investment in artificial intelligence. Deep learning is one of the current artificial intelligence research's key areas. This paper analyzes ... More

Diversified Coherent Core Search on Multi-Layer GraphsSep 27 2017Oct 01 2017Mining dense subgraphs on multi-layer graphs is an interesting problem, which has witnessed lots of applications in practice. To overcome the limitations of the quasi-clique-based approach, we propose d-coherent core (d-CC), a new notion of dense subgraph ... More

Quantum Critical Point in Strongly Correlated $^{87}$Rb Atoms in Optical LatticeDec 01 2005In this paper, the Bosonic projected variational method is proposed to study the strongly correlated $^{87}{\rm Rb}$ atoms in optical lattice. A global phase diagram is obtained by this method. There exist two characteristic lattice depths $V$ for $^{87}{\rm ... More

On extremal cacti with respect to the edge revised Szeged indexApr 17 2018Let $G$ be a connected graph. The edge revised Szeged index of $G$ is defined as $Sz^{\ast}_{e}(G)=\sum\limits_{e=uv\in E(G)}(m_{u}(e|G)+\frac{m_{0}(e|G)}{2})(m_{v}(e|G)+\frac{m_{0}(e|G)}{2})$, where $m_{u}(e|G)$ (resp., $m_{v}(e|G)$) is the number of ... More

A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton systemJan 04 2012Feb 26 2012By use of the potential reconstruction approach we obtain a series of asymptotically AdS (aAdS) black hole solutions in an Einstein-Maxwell-Dilaton (EMD) system. Basing on the solutions of the system, we reconstruct a semi-analytical holographic QCD (hQCD) ... More

Half-Metallic Silicon Nanowires: Multiple Surface Dangling Bonds and Nonmagnetic DopingSep 08 2009By means of first-principles density functional theory calculations, we find that hydrogen-passivated ultrathin silicon nanowires (SiNWs) along [100] direction with symmetrical multiple surface dangling bonds (SDBs) and boron doping can have a half-metallic ... More

Structures, Electronic Properties, Spectroscopies and Hexagonal Monolayer Phase of a Family of Unconventional Fullerenes C64X4 (X = H; F;Cl;Br)Jan 22 2008A systematic first-principles study within density functional theory on the geometrical structures and electronic properties of unconventional fullerene C64 and its derivatives C64X4 (X = H; F;Cl;Br) has been performed. By searching through all 3465 isomers ... More

Dual Actions for Born-Infeld and Dp-Brane TheoriesOct 18 2007May 30 2008Dual actions with respect to U(1) gauge fields for Born-Infeld and $Dp$-brane theories are reexamined. Taking into account an additional condition, i.e. a corollary to the field equation of the auxiliary metric, one obtains an alternative dual action ... More

Global generalized solutions to a nonlinear Keller-Segel equation with singular sensitivityMar 14 2018We consider the chemotaxis system \begin{eqnarray*} \begin{cases} \begin{array}{lll} \medskip u_t =\Delta u^m - \nabla(\frac{u}{v}\nabla v),&{} x\in\Omega,\ t>0, \medskip v_t =\Delta v -uv,&{}x\in\Omega,\ t>0, \medskip \frac{\partial u}{\partial \nu}=\frac{\partial ... More

M$^2$S-Net: Multi-Modal Similarity Metric Learning based Deep Convolutional Network for Answer SelectionApr 19 2016Mar 16 2018Recent works using artificial neural networks based on distributed word representation greatly boost performance on various natural language processing tasks, especially the answer selection problem. Nevertheless, most of the previous works used deep ... More

Catalyst type of interactions between dark energy and dark matterOct 15 2017In this paper, we focus on three specific interactions of dark sector in the existence of baryonic matter and radiation. First, we attempt to assume baryonic matter and radiation can affect the conversion between dark energy and dark matter like the way ... More

Crystalline and Electronic Structures of Molecular Solid C$_{50}$Cl$% _{10}$: First-Principles CalculationNov 22 2005Jul 05 2006A molecular solid C$_{50}$Cl$_{10}$ with possible crystalline structures, including the hexagonal-close-packed (hcp) phase, the face-centered cubic (fcc) phase, and a hexagonal monolayer, is predicted in terms of first-principles calculation within the ... More

The ratio of θ-congruent numbersMay 31 2010Let 0<\theta<\pi such that \cos\theta\in \Q. In this paper, we prove that for given positive square-free coprime integers k,l, there exist infinitely many pairs (M,N) of \theta-congruent numbers such that lN=kM. This generalize the previous result of ... More

$G$-Sasaki manifolds and K-energyDec 21 2017Jan 16 2018In this paper, we introduce a class of Sasaki manifolds with a reductive $G$-group action, called $G$-Sasaki manifolds. By reducing K-energy to a functional defined on a class of convex functions on a moment polytope, we give a criterion for the properness ... More

Tian's $α_{m,k}^{\hat K}$-invariants on group compactificationsNov 29 2018In this paper, we compute Tian's $\alpha_{m,k}^{K\times K}$-invariant on a polarized $G$-group compactification, where $K$ denotes a connected maximal compact subgroup of $G$. We prove that Tian's conjecture for $\alpha_{m,1}^{K\times K}$-invariant is ... More

Second order viscous corrections to the harmonic spectrum in heavy ion collisionsApr 13 2013Aug 13 2013We calculate the second order viscous correction to the kinetic distribution, $\delta f_{(2)}$, and use this result in a hydrodynamic simulation of heavy ion collisions to determine the complete second order correction to the harmonic spectrum, $v_n$. ... More

Plane correlations and hydrodynamic simulations of heavy ion collisionsDec 13 2013Jan 01 2014We use a nonlinear response formalism to describe the event plane correlations measured by the ATLAS collaboration. With one exception ($\left\langle \cos(2\Psi_2 - 6\Psi_3 + 4 \Psi_4) \right\rangle$), the event plane correlations are qualitatively reproduced ... More

Triangularity and Dipole Asymmetry in Heavy Ion CollisionsOct 09 2010We introduce a cumulant expansion to parameterize possible initial conditions in relativistic heavy ion collisions. We show that the cumulant expansion converges and that it can systematically reproduce the results of Glauber type initial conditions. ... More

Determining the evolutionary stage of the delta Scuti star HIP 80088 with asteroseismologySep 06 2018We have computed a grid of theoretical models to fit the twelve oscillation modes of HIP 80088 observed by K2. HIP 80088 is determined to be a pre-main sequence star, in which CN cycle has not arrived at the equilibrium state. Mass fractions of C12 and ... More

Impact parameter dependence of the scaling of anisotropic flows in intermediate energy HICSep 25 2013The scaling behaviors of anisotropic flows of light charged particles are studied for 25 \,MeV/nucleon $^{40}$Ca+$^{40}$Ca collisions at different impact parameters by the isospin-dependent quantum molecular dynamics model. The number of nucleons scaling ... More

Constraining the ejecta for the nonthermal emission from GW170817Apr 02 2018Jun 28 2018We consider a simple model for the nonthermal emission from GW170817, in which a quasi-spherical ejecta is released in the merger event, with the kinetic energy distributed over the momentum as $E(>\gamma\beta)\propto(\gamma\beta)^{-k}$. The ejecta drives ... More

Nonlinear elliptic equations with a singular perturbation on compact Lie groups and Homogeneous spacesMay 17 2012Feb 03 2013This paper is devoted to the study of a class of singular perturbation elliptic type problems on compact Lie groups or homogeneous spaces $\mathcal{M}$. By constructing a suitable Nash-Moser-type iteration scheme on compact Lie groups and homogeneous ... More

On extremal graphs with exactly one Steiner tree connecting any $k$ verticesJan 20 2013The problem of determining the largest number $f(n;\bar{\kappa}\leq \ell)$ of edges for graphs with $n$ vertices and maximal local connectivity at most $\ell$ was considered by Bollob\'{a}s. Li et al. studied the largest number $f(n;\bar{\kappa}_3\leq2)$ ... More

Let's Play Mahjong!Mar 08 2019Mahjong is a very popular tile-based game commonly played by four players. Each player begins with a hand of 13 tiles and, in turn, players draw and discard (i.e., change) tiles until they complete a legal hand using a 14th tile. In this paper, we initiate ... More

A Hopf-bifurcation theorem for the critically dissipative quasi-geostrophic equationMay 17 2012Apr 11 2014This paper is devoted to the study of the dynamical behavior of the critically dissipative quasi-geostrophic equation in $\textbf{T}^2$. We prove that this system possesses time-dependent periodic solutions, bifurcating from a smooth steady solution, ... More

On a uniformly distributed phenomenon in matrix groupsMar 21 2011Sep 02 2013We show that a classical uniformly distributed phenomenon for an element and its inverse in ($\mathbb{Z}/n\mathbb{Z})^{*}$ also exists in $\textrm{GL}_{n}(\mathbb{F}_{p})$. A $\textrm{GL}_{n}(\mathbb{F}_{p})$ analogy of the uniform distribution on modular ... More