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Pseudospin symmetry in nuclear structure and its supersymmetric representationJun 28 2016The quasi-degeneracy between the single-particle states $(n,\,l,\,j=l+1/2)$ and $(n-1,\,l+2,\,j=l+3/2)$ indicates a special and hidden symmetry in atomic nuclei---the so-called pseudospin symmetry (PSS)---which is an important concept in both spherical ... More

Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by similarity renormalization groupApr 09 2019By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify the convergence ... More

Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation FunctionalsJul 10 2019The Coulomb exchange and correlation energy density functionals for electron systems are applied to nuclear systems. It is found that the exchange functionals in the generalized gradient approximation provide agreements with the exact-Fock energy with ... More

Probing the resonance of Dirac particle by the application of complex momentum representationAug 03 2016Resonance plays critical roles in the formation of many physical phenomena, and several methods have been developed for the exploration of resonance. In this work, we propose a new scheme for resonance by solving the Dirac equation in complex momentum ... More

Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation and similarity renormalization groupJun 20 2019By following the Foldy-Wouthuysen (FW) transformation of the Dirac equation, we work out the exact analytic expressions up to the $1/M^4$ order for the general cases in the covariant density functional theory. These results are further compared with the ... More

Existence of minimal surfaces of arbitrary large Morse indexApr 04 2015May 24 2016We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are minimal surfaces of arbitrary large Morse index, which partially confirms a conjecture by F. Marques and A. Neves. We prove this by analyzing the lamination ... More

Kähler non-collapsing, eigenvalues and the Calabi flowSep 17 2013Jun 28 2014We first proved a compactness theorem of the K\"ahler metrics, which confirms a prediction of Chen. Then we prove several eigenvalue estimates along the Calabi flow. Combining the compactness theorem and these eigenvalue estimates, we generalize the method ... More

On stability of the hyperbolic space form under the normalized Ricci flowJun 30 2009This paper studies the normalized Ricci flow from a slight perturbation of the hyperbolic metric on $\mathbb H^n$. It's proved that if the perturbation is small and decays sufficiently fast at the infinity, then the flow will converge exponentially fast ... More

Hidden pseudospin and spin symmetries and their origins in atomic nucleiNov 25 2014Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-particle orbitals $(n, l, j = l + 1/2)$ and $(n-1, l + 2, j = l + 3/2)$ indicates a hidden symmetry in atomic nuclei, the so-called pseudospin symmetry (PSS). Since the ... More

Avoid the Tsunami of the Dirac sea in the Imaginary Time Step methodMay 15 2009The discrete single-particle spectra in both the Fermi and Dirac sea have been calculated by the imaginary time step (ITS) method for the Schr\"{o}dinger-like equation after avoiding the "tsunami" of the Dirac sea, i.e., the diving behavior of the single-particle ... More

RPA Correlations and Nuclear Densities in Relativistic Mean Field ApproachFeb 13 2007The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is also a good framework ... More

Application of Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximationDec 18 2017Apr 23 2018We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it is found that ... More

Fine structure of charge-exchange spin-dipole excitations in $^{16}$ODec 30 2011Jun 06 2012The charge-exchange spin-dipole (SD) excitations for both $(p,n)$ and $(n,p)$ channels in $^{16}$O are investigated in the fully self-consistent random phase approximation based on the covariant density functional theory. The fine structure of SD excitations ... More

Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approachesApr 23 2009Jun 19 2009Self-consistent random phase approximation (RPA) approaches in the relativistic framework are applied to calculate the isospin symmetry-breaking corrections $\delta_c$ for the $0^+\to0^+$ superallowed transitions. It is found that the corrections $\delta_c$ ... More

Improvement of Functionals in Density Functional Theory by the Inverse Kohn-Sham Method and Density Functional Perturbation TheoryDec 21 2018We propose the way to improve energy density functionals in the density functional theory based on the combination of the inverse Kohn-Sham method and the density functional perturbation theory. As benchmark calculations, we reproduce the theoretical ... More

Functional Renormalization Group and Kohn-Sham scheme in Density Functional TheorySep 19 2017Feb 22 2018Deriving accurate energy density functional is one of the central problems in condensed matter physics, nuclear physics, and quantum chemistry. We propose a novel method to deduce the energy density functional by combining the idea of the functional renormalization ... More

Combination of complex momentum representation and Green's function methods in relativistic mean-field theoryFeb 01 2018We have combined the complex momentum representation method with the Green's function method in the relativistic mean-field framework to establish the RMF-CMR-GF approach. This new approach is applied to study the halo structure of $^{74}$Ca. All the ... More

Solving the Dirac equation with nonlocal potential by Imaginary Time Step methodOct 21 2009The Imaginary Time Step (ITS) method is applied to solve the Dirac equation with the nonlocal potential in coordinate space by the ITS evolution for the corresponding Schr\"odinger-like equation for the upper component. It is demonstrated that the ITS ... More

Spin-isospin resonances: A self-consistent covariant descriptionAug 23 2008For the first time a fully self-consistent charge-exchange relativistic RPA based on the relativistic Hartree-Fock (RHF) approach is established. The self-consistency is verified by the so-called isobaric analog state (IAS) check. The excitation properties ... More

Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuumApr 24 2012Jun 05 2012The deformed relativistic Hartree-Bogoliubov theory in continuum with the density-dependent meson-nucleon couplings is developed. The formulism is briefly presented with the emphasis on handling the density-dependent couplings, meson fields, and potentials ... More

Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculationsOct 05 2018Feb 14 2019We perform the self-consistent Skyrme Hartree-Fock calculation with the Coulomb exchange functional in the form of generalized gradient approximation (GGA). It is found that the Perdew-Burke-Ernzerhof GGA (PBE-GGA) Coulomb exchange functional is able ... More

Quantitative analysis of tensor effects in the relativistic Hartree-Fock theoryJun 29 2018Sep 20 2018Tensor force is identified in each meson-nucleon coupling in the relativistic Hartree-Fock theory. It is found that all the meson-nucleon couplings, except the $\sigma$-scalar one, give rise to the tensor force. The effects of tensor force on various ... More

Finite-amplitude method: An extension to the covariant density functionalsDec 16 2013The finite-amplitude method (FAM) is one of the most promising methods for optimizing the computational performance of the random-phase approximation (RPA) calculations in deformed nuclei. In this report, we will mainly focus on our recent progress in ... More

Feasibility of the finite amplitude method in covariant density functional theoryApr 14 2013Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example, the feasibility ... More

Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equationsJul 26 2012Jan 25 2013The origin of pseudospin symmetry (PSS) and its breaking mechanism are explored by combining supersymmetry (SUSY) quantum mechanics, perturbation theory, and the similarity renormalization group (SRG) method. The Schr\"odinger equation is taken as an ... More

Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effectsAug 05 2013Following a previous paper [Haozhao Liang \textit{et al.}, Phys. Rev. C \textbf{87}, 014334 (2013)], we discuss the spin-orbit effects on the pseudospin symmetry (PSS) within the framework of supersymmetric quantum mechanics. By using the perturbation ... More

Spin-orbit and orbit-orbit strengths for radioactive neutron-rich doubly magic nucleus $^{132}$Sn in relativistic mean field theoryDec 29 2010Relativistic mean field (RMF) theory is applied to investigate the properties of the radioactive neutron-rich doubly magic nucleus $^{132}$Sn and the corresponding isotopes and isotones. The two-neutron and two-proton separation energies are well reproduced ... More

Effects of Tensor Force in the Relativistic Scheme: A Case Study of Neutron DropsApr 05 2018Tensor force is an important component in the nucleon-nucleon interaction, nevertheless, the role of the tensor force in the spin properties in finite nuclei is much less clear. In this report, we mainly focus on our recent progress on this topic about ... More

Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interactionFeb 22 2018Apr 10 2018The spin symmetry in the Dirac sea has been investigated with relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. Taking the nucleus $^{16}$O as an example and comparing the theoretical results with the data, the definition ... More

A mean field study of single-particle spectra evolution in Z=14 and N=28 chainsFeb 25 2008We study the mechanisms which reduce the proton 1d(3/2)-1d(5/2) spin-orbit splitting and the neutron 1f(7/2) subshell closure in 42Si. We use various self-consistent mean field models: non-relativistic Skyrme-Hartree-Fock and relativistic density-dependent ... More

Relativistic Brueckner-Hartree-Fock theory for neutron dropsFeb 22 2018May 14 2018Neutron drops confined in an external field are studied in the framework of relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. The ground state energies and radii of neutron drops with even numbers from $N = 4$ to $N=50$ ... More

Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nucleiMay 04 2017Aug 02 2017Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a relativistic ... More

Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theoryFeb 17 2010The spin symmetry in the Dirac negative energy spectrum and its origin are investigated for the first time within the density-dependent relativistic Hartree-Fock (DDRHF) theory. Taking the nucleus $^{16}$O as an example, the spin symmetry in the negative ... More

Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculationsSep 19 2017Jan 24 2018A systematic and specific pattern due to the effects of the tensor forces is found in the evolution of spin-orbit splittings in neutron drops. This result is obtained from relativistic Brueckner-Hartree-Fock theory using the bare nucleon-nucleon interaction. ... More

Pseudospin symmetry: Recent progress with supersymmetric quantum mechanicsOct 21 2013It is an interesting and open problem to trace the origin of the pseudospin symmetry in nuclear single-particle spectra and its symmetry breaking mechanism in actual nuclei. In this report, we mainly focus on our recent progress on this topic by combining ... More

Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation methodDec 02 2016Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for probing single-particle ... More

High precision nuclear mass predictions towards a hundred kilo-electron-volt accuracyJul 15 2018Mass is a fundamental property and an important fingerprint of atomic nucleus. It provides an extremely useful test ground for nuclear models and is crucial to understand energy generation in stars as well as the heavy elements synthesized in stellar ... More

Treating Coulomb exchange contributions in relativistic mean field calculations: why and howMay 15 2014The energy density functional (EDF) method is very widely used in nuclear physics, and among the various existing functionals those based on the relativistic Hartree (RH) approximation are very popular because the exchange contributions (Fock terms) are ... More

Localized form of Fock terms in nuclear covariant density functional theoryJul 26 2012In most of the successful versions of covariant density functional theory in nuclei, the Fock terms are not included explicitly, which leads to local functionals and forms the basis of their widespread applicability at present. However, it has serious ... More

Perturbative interpretation of relativistic symmetries in nucleiApr 14 2010Apr 06 2011Perturbation theory is used systematically to investigate the symmetries of the Dirac Hamiltonian and their breaking in atomic nuclei. Using the perturbation corrections to the single-particle energies and wave functions, the link between the single-particle ... More

Relativistic Brueckner-Hartree-Fock theory for finite nucleiSep 07 2016Starting with a bare nucleon-nucleon interaction, for the first time the full relativistic Brueckner-Hartree-Fock equations are solved for finite nuclei in a Dirac-Woods-Saxon basis. No free parameters are introduced to calculate the ground-state properties ... More

Towards an ab initio covariant density functional for nuclear structureApr 10 2019Nuclear structure models built from phenomenological mean fields, the effective nucleon-nucleon interactions (or Lagrangians), and the realistic bare nucleon-nucleon interactions are reviewed. The success of covariant density functional theory, which ... More

The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theoryOct 11 2012Apr 01 2013The relativistic local density approximation (LDA) for the Coulomb exchange functional in nuclear systems is presented. This approximation is composed of the well-known Slater approximation in the non-relativistic scheme and the corrections due to the ... More

Gap theorems for Kähler-Ricci solitonsJun 30 2009In this paper, we prove that a gradient shrinking compact K\"ahler-Ricci soliton cannot have too large Ricci curvature unless it is K\"ahler-Einstein.

Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifoldsJun 30 2009Jul 26 2011In this paper, we give some convergence results of Lagrangian mean curvature flow under some stability conditions in a general K\"ahler-Einstein manifold. In particular, we prove that the flow will converge if the initial data is some small perturbation ... More

Energy functionals and Kähler-Ricci solitonsJun 30 2009In this paper, we generalize Chen-Tian energy functionals to K\"ahler-Ricci solitons and prove that the properness of these functionals is equivalent to the existence of K\"ahler-Ricci solitons. We also discuss the equivalence of the lower boundedness ... More

The Futaki invariant on the blowup of Kähler surfacesNov 13 2012We prove the expansion formula for the classical Futaki invariants on the blowup of K\"ahler surfaces, which explains the balancing condition of Arezzo-Pacard. The relation with Stoppa's result is also discussed.

On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvatureNov 21 2018In this paper, we show that if the mean curvature of a closed smooth embedded mean curvature flow in R^3 is of type-I, then the rescaled flow at the first finite singular time converges smoothly to a self-shrinker flow with multiplicity one. This result ... More

A criterion for the properness of the K-energy in a general Kahler class (II)Jan 07 2015In this paper, we give a result on the properness of the K-energy, which answers a question of Song-Weinkove in any dimensions. Moreover, we extend our previous result on the properness of K-energy to the case of modified K-energy associated to extremal ... More

The extension problem of the mean curvature flow (I)Aug 09 2016We show that the mean curvature blows up at the first finite singular time for a closed smooth embedded mean curvature flow in R^3.

Stability of Kähler-Ricci flowJan 20 2008Jul 30 2009We prove the convergence of K\"ahler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of K\"ahler-Ricci flow when the complex structure varies on a K\"ahler-Einstein manifold.

On Information-Theoretic Scaling Laws for Wireless NetworksSep 07 2008Jul 07 2009With the analysis of the hierarchical scheme, the potential influence of the pre-constant in deriving scaling laws is exposed. It is found that a modified hierarchical scheme can achieve a throughput arbitrarily times higher than the original one, although ... More

Omnidirectional Relay in Wireless NetworksNov 29 2008Nov 14 2010For wireless networks with multiple sources, an omnidirectional relay scheme is developed, where each node can simultaneously relay different messages in different directions. This is accomplished by the decode-and-forward relay strategy, with each relay ... More

A Greedy Omnidirectional Relay SchemeJan 12 2009Feb 17 2009A greedy omnidirectional relay scheme is developed, and the corresponding achievable rate region is obtained for the all-source all-cast problem. The discussions are first based on the general discrete memoryless channel model, and then applied to the ... More

An Improvement of Cover/El Gamal's Compress-and-Forward Relay SchemeAug 02 2009Aug 15 2009The compress-and-forward relay scheme developed by (Cover and El Gamal, 1979) is improved with a modification on the decoding process. The improvement follows as a result of realizing that it is not necessary for the destination to decode the compressed ... More

A criterion for the properness of the K-energy in a general Kahler classNov 05 2013Jun 28 2014In this paper, we give a criterion for the properness of the K-energy in a general Kahler class of a compact Kahler manifold by using Song-Weinkove's result. As applications, we give some Kahler classes on $\mathbb{C}\mathbb{P}^2\#3\overline {\mathbb{C}\mathbb{P}^2}$ ... More

Direct detection and solar capture of spin-dependent dark matterAug 27 2013Feb 25 2014We investigate the implication of different spin-dependent (SD) operators on both the direct and indirect detections of the Weakly Interacting Massive Particle (WIMP). Six representative building blocks of SD operators, together with their counterparts ... More

Computing Naturally in the Billiard Ball ModelSep 20 2009Fredkin's Billiard Ball Model (BBM) is considered one of the fundamental models of collision-based computing, and it is essentially based on elastic collisions of mobile billiard balls. Moreover, fixed mirrors or reflectors are brought into the model ... More

Axisymmetrically Tropical Cyclone-like Vortices with Secondary CirculationsSep 07 2013The secondary circulation of the tropical cyclone (TC) is related to its formation and intensification, thus becomes very important in the studies. The analytical solutions have both the primary and secondary circulation in a three-dimensionally nonhydrostatic ... More

Identify the diapycnical eddy diffusivities by salt fingers and turbulence with vertical microstructure measurementsJun 23 2014Diapycnical eddy diffusivities are formulated from physical relations according to a simple fact that the different formulas are identical for the same parameter. It is found that the dispassion ratio \Gamma is a crucial parameter. When it is above a ... More

FairCache: Introducing Fairness to ICN Caching - Technical ReportNov 28 2014Jan 28 2016Information-centric networking extensively uses universal in-network caching. However, developing an efficient and fair collaborative caching algorithm for selfish caches is still an open question. In addition, the communication overhead induced by collaboration ... More

Spectral and Energy Efficiency of Parallel Gaussian Broadcast ChannelsJun 23 2016Spectral efficiency and energy efficiency are important design criteria for green communications systems and networks. In this paper, spectral efficiency and energy efficiency are addressed for communications over parallel Gaussian broadcast channels ... More

Real root refinements for univariate polynomial equationsNov 19 2012Real root finding of polynomial equations is a basic problem in computer algebra. This task is usually divided into two parts: isolation and refinement. In this paper, we propose two algorithms LZ1 and LZ2 to refine real roots of univariate polynomial ... More

Extractions: Computable and Visible Analogues of Localizations for Polynomial IdealsFeb 13 2015When studying local properties of a polynomial ideal, one usually needs a theoretic technique called localization. For most cases, in spite of its importance, the computation in a localized ring cannot be algorithmically preformed. On the other hand, ... More

Large-time behavior for spherically symmetric flow of viscous polytropic gas in exterior unbounded domain with large initial dataMay 03 2014This paper deals with the spherically symmetric flow of compressible viscous and polytropic ideal fluid in unbounded domain exterior to a ball in $\rr (n\ge2).$ We show that the global solutions are convergent as time goes to infinity. The critical step ... More

Law of total probability and Bayes' theorem in Riesz spacesJan 31 2015This note generalizes the notion of conditional probability to Riesz spaces using the order-theoretic approach. With the aid of this concept, we establish the law of total probability and Bayes' theorem in Riesz spaces; we also prove an inclusion-exclusion ... More

The curvature of spectral energy distribution of blazarsMay 06 2014The SED of blazars show significant curvature. In this paper, we study the curvature properties for a large sample of Fermi/LAT bright blazars based on quasi-simultaneous SED. Both SEDs of synchrotron and inverse Compton (IC) components are fitted by ... More

Event-plane dependent away-side jet-like correlation shape in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV from STARFeb 16 2019We employ a data-driven method to subtract the flow background of all harmonics by calculating the difference of the two-particle correlations between the close-region and far-region, determined depending on the pseudo-rapidity ($\eta$) distance from ... More

Limits of topological minimal sets with finitely generated coefficient groupsMar 15 2014May 21 2015We prove that Hausdorff limit of topological minimal sets (with finitely generated coefficient group) are topologically minimal. The key idea is to reduce the homology group on the space to the homology group on the sphere, and reduce the homology group ... More

Simulating the future urban growth in Xiongan New Area: a upcoming big city in ChinaMar 16 2018China made the announement to create the Xiongan New Area in Hebei in April 1,2017. Thus a new magacity about 110km south west of Beijing will emerge. Xiongan New Area is of great practial significant and historical significant for transferring Beijing's ... More

Toward Computation and Memory Efficient Neural Network Acoustic Models with Binary Weights and ActivationsJun 28 2017Jul 04 2017Neural network acoustic models have significantly advanced state of the art speech recognition over the past few years. However, they are usually computationally expensive due to the large number of matrix-vector multiplications and nonlinearity operations. ... More

Non-Left-Orderable Surgeries on 1-Bridge BraidsNov 30 2017Boyer, Gordon, and Watson have conjectured that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable. Since Dehn surgeries on knots in $S^3$ can produce large families of L-spaces, it is natural ... More

Tripartite Blind Quantum ComputationNov 25 2013This paper proposes a model of tripartite blind quantum computation (TBQC), in which three independent participants hold different resources and accomplish a computational task through cooperation. The three participants are called C,S,T separately, where ... More

Collatz's "3x+1" problem and iterative maps on intervalAug 29 2006Oct 12 2006In this paper, we convert Collatz map into a simple conjugate iterative maps defined in [0,1]. Such maps are more familiar to us and easier to deal with. Some new features of this map are observed by this method. An interesting heuristic proof is also ... More

Gröbner bases bounds for modulesMay 18 2019Let $F$ be a non-negatively graded free module over a polynomial ring $\mathbb{K}[x_1,\dots,x_n]$ generated by $m$ basis elements. Let $M$ be a submodule of $F$ generated by elements in $F$ with degrees bounded by $D$ and dim $F/M$=$r$. We prove that ... More

Numerical Investigation of Isolated Crescent SingularityOct 27 2006Apr 25 2008In this paper we examine numerically the properties, especially the scaling properties, of an isolated crescent singularity similar to that of a developable cone. The desired isolated crescent region is produced by applying six potential forces to an ... More

On the Riesz decomposition property and the interpolation property of stopping timesSep 17 2013Feb 15 2016It is known that random variables have the Riesz decomposition property and the interpolation property. These properties are not only interesting in their own rights; they have been applied to quantitative finance and actuarial mathematics. One would ... More

Entropy on modules over the group ring of a sofic groupOct 11 2017We partially generalize Peters' formula on modules over the group ring ${\mathbb F} \Gamma$ for a given finite field ${\mathbb F}$ and a sofic group $\Gamma$. It is also discussed that how the values of entropy are related to the zero divisor conjecture. ... More

On refined ramification filtrations in the equal characteristic caseNov 09 2009Dec 19 2011Let k be a complete discrete valuation field of equal characteristic p>0. Using the tools of p-adic differential modules, we define refined Artin and Swan conductors for a representation of the absolute Galois group $G_k$ with finite local monodromy; ... More

A Note on $\aleph_{0}$-injective RingsOct 30 2007May 23 2010A ring $R$ is called right $\aleph_{0}$-injective if every homomorphism from a countably generated right ideal of $R$ to $R_{R}$ can be extended to a homomorphism from $R_{R}$ to $R_{R}$. In this note, some characterizations of $\aleph_{0}$-injective ... More

Influence of subgrid scale models on the buffer sublayer in channel flowAug 31 2017Subgrid-scale (SGS) models are critical in large-eddy simulations (LES) of turbulent flows. In this paper we conduct a comparative study on different SGS models, including one-k-equation, wall-adapting local eddy-viscosity (WALE), Sigma and shear-constrained ... More

The inequivalent substitution on Ca site of cubic CaTiO3 perovskite for transparent conductive oxides from USPEX and DFTMay 02 2019Based on genetic evolution algorithm, universal structure predictor USPEX assists to explore the most stable structure from Na+ substituting Ca2+ under variable concentration, for p type transparent conductive oxide application. The study finds 2 atoms ... More

Exploring inorganic and nontoxic double perovskites Cs$_2$AgInBr$_{6-x}$Cl$_x$ from material selection to device design in material genome approachMay 02 2019Halide double perovskites have recently been proposed as potential environmentally friendly alternatives to organic group and lead based hybrid halide perovskites. In particular, Cs2BiAgX6 have been synthesized and found to exhibit tunable band gaps in ... More

On the jet properties of the gamma-ray loud active galactic nucleiMar 14 2018Apr 12 2018Based on broadband spectral energy distribution (SEDs), we estimate the jet physical parameters of 1392 $\gamma$-ray-loud active galactic nuclei (AGNs), the largest sample so far. The (SED) jet power and magnetization parameter are derived for these AGNs. ... More

On the Type IIb solutions to mean curvature flowMar 19 2016Aug 28 2018In this paper we study the Type IIb mean curvature flow for which has the smooth solution exists for all $t> 0$ and satisfies $\sup\limits_{M^n\times (0,+\infty)}t|A|^2=\infty$, where $A(\cdot,t)$ is the second fundamental form. We prove that the longtime ... More

On the interpolation property and dominated decomposition property of quasimartingalesNov 25 2013For a quasimartingale majorized by another quasimartingale, it is natural to ask whether a third quasimartingale can be inserted between them. In this paper, we give an affirmative answer to this problem. We also establish a dominated decomposition property ... More

Measurement of directed flow of $D^{0}$ and $\bar{D^{0}}$ mesons in 200 GeV Au+Au collisions at RHIC using the STAR detectorJan 17 2019Charm quarks, owing to their large mass, are produced predominantly in the initial hard scatterings in heavy-ion collisions, and therefore can be a valuable tool for studying the early time dynamics of these collisions. The rapidity-odd directed flow ... More

Comoving acceleration of overdense electron-positron plasma by colliding ultra-intense laser pulsesMar 17 2006Particle-in-cell (PIC) simulation results of sustained acceleration of electron-positron (e+e-) plasmas by comoving electromagnetic (EM) pulses are presented. When a thin slab of overdense e+e- plasma is irradiated with linear-polarized ultra-intense ... More

Computing Dixmier Invariants and Some Geometric Configurations of Quartic Curves with 2 InvolutionsApr 02 2019In this paper we consider plane quartics with to involutions. We compute the Dixmier invariants, the bitangents and the Matrix representation problem of these curves, showing that they have symbolic solutions for the last two questions.

Quantum Uncertainty Based on Metric Adjusted Skew InformationAug 03 2017Apr 12 2018Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures' fundamental ... More

Centralizers of Finite Subgroups of the Mapping Class GroupFeb 26 2012In this paper, we study the action of finite subgroups of the mapping class group of a surface on the curve complex. We prove that if the diameter of the almost fixed point set of a finite subgroup H is big enough, then the centralizer of H is infinite. ... More

On the topological minimality of unions of planes of arbitrary dimensionDec 12 2013In this article we prove the topological minimality of unions of several almost orthogonal planes of arbitrary dimensions. A particular case was proved in arXiv:1103.1468, where we proved the Almgren minimality (which is a weaker property than the topological ... More

Topological minimal sets and their applicationsMar 20 2011In this article we introduce a definition of topological minimal sets, which is a generalization of that of Mumford-Shah-minimal sets. We prove some general properties as well as two existence theorems for topological minimal sets. As an application we ... More

Almgren-minimality of unions of two almost orthogonal planes in $\mathbb R^4$Mar 08 2011Feb 15 2012In this article we prove that the union of two almost orthogonal planes in R4 is Almgren-minimal. This gives an example of a one parameter family of minimal cones, which is a phenomenon that does not exist in R3. This work is motivated by an attempt to ... More

Large-time behavior for spherically symmetric flow of viscous polytropic gas in exterior unbounded domain with large initial dataMay 03 2014Jan 14 2017This paper deals with the spherically symmetric flow of compressible viscous and polytropic ideal fluid in unbounded domain exterior to a ball in $\mathbb{R}^n$ with $n\ge2$. We show that the global solutions are convergent as time goes to infinity. The ... More

Local strong solution for the viscous compressible and heat-conductive fluids with vacuum in 2D spaceAug 16 2015This paper considers the Cauchy problem of equations for the viscous compressible and heat-conductive fluids in the two-dimensional(2D) space. We establish the local existence theory of unique strong solution under some initial layer compatibility conditions. ... More

Observation of the antimatter helium-4 nucleus at RHICJul 01 2011We present the observation of the \Heebar nucleus, the heaviest antinucleus observed to date. In total, 18 \Heebar counts were detected at the STAR experiment at RHIC in 10$^{9}$ recorded Au+Au collisions at beam energies of $\sqrt{s_{NN}}$ = 200 GeV ... More

Equation Problem over central extensions of hyperbolic groupsJul 22 2013The Equation Problem in finitely presented groups asks if there exists an algorithm which determines in finite amount of time whether any given equation system has a solution or not. We show that the Equation Problem in central extensions of hyperbolic ... More

On the structure of Ricci shrinkersSep 11 2018We develop a structure theory for non-collapsed Ricci shrinkers without any curvature condition. As applications, we obtain some curvature estimates of the Ricci shrinkers depending only on the non-collapsing constant.

Regularity scales and convergence of the Calabi flowJan 08 2015Jan 12 2015We define regularity scales to study the behavior of the Calabi flow. Based on estimates of the regularity scales, we obtain convergence theorems of the Calabi flow on extremal Kahler surfaces, under the assumption of global existence of the Calabi flow ... More