一类迭代微分方程的解析解

给出一类 n阶迭代泛函微分方程 x( n) =a∏li=1(x[mi] (qiz) ) ki的形如 x(z) =λzμ的解的存在性     

Communication: Stable carbon nanoarches in the initial stages of epitaxial growth of graphene on Cu(111)

To fully exploit the device potential of graphene, reliable production of large-area, high-quality samples is required. Epitaxial growth on metal substrates have shown promise in this regard, but further improvement would be facilitated by a more complete understanding of the atomistic processes involved in the early growth stages. Using first-principles calculations within density functional theory, we have investigated the energetics and kinetics of graphene nucleation and growth on a Cu(111) surface. Our calculations have revealed an energetic preference for the formation of stable one-dimensional carbon nanoarches consisting of 3-13 atoms when compared to two-dimensional compact islands of equal sizes. We also estimate the critical cluster size that marks the transition from nanoarch dominance to island dominance in the growth sequence. Our findings may provide the structural link between nucleated carbon dimers and larger carbon nanodomes, and are expected to stimulate future experimental efforts.     

Implementation of screened hybrid density functional for periodic systems with numerical atomic orbitals: basis function fitting and integral screening

We present an efficient O(N) implementation of screened hybrid density functional for periodic systems with numerical atomic orbitals (NAOs). NAOs of valence electrons are fitted with gaussian-type orbitals, which is convenient for the calculation of electron repulsion integrals and the construction of Hartree-Fock exchange matrix elements. All other parts of Hamiltonian matrix elements are constructed directly with NAOs. The strict locality of NAOs is adopted as an efficient two-electron integral screening technique to speed up calculations.     

CO oxidation facilitated by robust surface states on Au-covered topological insulators

Surface states--the electronic states emerging as a solid material terminates at a surface--are usually vulnerable to contaminations and defects. The robust topological surface state(s) (TSS) on the three-dimensional topological insulators provide a perfect platform for exploiting surface states in less stringent environments. Employing first-principles density functional theory calculations, we demonstrate that the TSS can play a vital role in facilitating surface reactions by serving as an effective electron bath. We use CO oxidation on gold-covered Bi(2)Se(3) as a prototype example, and show that the robust TSS can significantly enhance the adsorption energy of both CO and O(2) molecules, by promoting different directions of static electron transfer. The concept of TSS as an electron bath may lead to new design principles beyond the conventional d-band theory of heterogeneous catalysis.     

A conditional Granger causality model approach for group analysis in functional magnetic resonance imaging

Granger causality model (GCM) derived from multivariate vector autoregressive models of data has been employed to identify effective connectivity in the human brain with functional magnetic resonance imaging (fMRI) and to reveal complex temporal and spatial dynamics underlying a variety of cognitive processes. In the most recent fMRI effective connectivity measures, pair-wise GCM has commonly been applied based on single-voxel values or average values from special brain areas at the group level. Although a few novel conditional GCM methods have been proposed to quantify the connections between brain areas, our study is the first to propose a viable standardized approach for group analysis of fMRI data with GCM. To compare the effectiveness of our approach with traditional pair-wise GCM models, we applied a well-established conditional GCM to preselected time series of brain regions resulting from general linear model (GLM) and group spatial kernel independent component analysis of an fMRI data set in the temporal domain. Data sets consisting of one task-related and one resting-state fMRI were used to investigate connections among brain areas with the conditional GCM method. With the GLM-detected brain activation regions in the emotion-related cortex during the block design paradigm, the conditional GCM method was proposed to study the causality of the habituation between the left amygdala and pregenual cingulate cortex during emotion processing. For the resting-state data set, it is possible to calculate not only the effective connectivity between networks but also the heterogeneity within a single network. Our results have further shown a particular interacting pattern of default mode network that can be characterized as both afferent and efferent influences on the medial prefrontal cortex and posterior cingulate cortex. These results suggest that the conditional GCM approach based on a linear multivariate vector autoregressive model can achieve greater accuracy in detecting network connectivity than the widely used pair-wise GCM, and this group analysis methodology can be quite useful to extend the information obtainable in fMRI.     

Effect of solvent annealing on the tensile deformation mechanism of a colloidal crystalline polymeric latex film

The influence of solvent annealing on microscopic deformational behavior of a styrene/n-butyl acrylate copolymer latex film subjected to uniaxial tensile deformation was studied by small-angle X-ray scattering. It was demonstrated that the microscopic deformation mechanism of the latex films transformed from a nonaffine deformation behavior to an affine deformation behavior after solvent annealing. This was attributed to the interdiffusion of polymeric chains between adjacent swollen latex particles in the film. It turns out that solvent annealing is much more efficient than thermal annealing due to a much slow evaporation process after solvent annealing.     

A general approach for the growth of metal oxide nanorod arrays on graphene sheets and their applications

In the fabrication of flexible devices, highly ordered nanoscale texturing, such as semiconductor metal oxide nanorod arrays on flexible substrates, is critical for optimal performance. Use of transparent conducting films, metallic films, and polymer substrates is limited by mechanical brittleness, chemical and thermal instability, or low electrical conductivity, low melting point, and so on. A simple and general nanocrystal-seed-directed hydrothermal route has now been developed for large-scale growth of nanorod arrays of various semiconductor metal oxides (MO), including TiO(2), ZnO, MnO(2), CuO, and ZrO(2) on both sides of flexible graphene (G) sheets to form sandwichlike MO/G/MO heterostructures. The TiO(2)/G/TiO(2) heterostructures have much higher photocatalytic activity than TiO(2) nanorods, with a photocatalytic degradation rate of methylene blue that is four times faster than that of the TiO(2) nanorods, and are thus promising candidates for photocatalytic decontamination.     

Stabilization of a fiber Fabry–Perot interferometric acoustic wave sensor

Control of the operating point of an interferometric optical sensor to produce the highest sensitivity is crucial in the demodulation of interferometric optical sensors to compensate for Q point mismatching. A new method for operating point control of FFPI was discussed and demonstrated, the relationship of the F–P cavity length, the visibility and the interferometric fringe was analyzed. MCU was introduced to tracing the Q point by changing the laser wavelength through adjusting the light source temperature. It is proved that the dynamic range of the sensor system is surely extended; the NSR could be greatly improved because the wavelength change induced noises is greatly limited in this sensor system.     

Thermally controlled multiband,mode-switching plasmonic filter operating at terahertz frequencies

A thermally controlled multiband, mode-switching plasmonic filter with periodic subwavelength metal asterisk-shaped air hole arrays has been proposed in the terahertz range. Utilizing the changing properties to terahertz wave propagating on the metal-semiconductor interface and in the semiconductor InSb at varying temperature, thermally controlled multiband, mode-switching plasmonic filter owns an excellent tuning ability to terahertz wave. The simulation results show that the maximum transmittance of the structure is 99.8% at 434 GHz, 80 K, the bandwidths at 80 K are 56 GHz at 0.434 THz, 14 GHz at 944 GHz and maximum intensity modulation depth could reach to 99.8% at 434 GHz between 80 K and 373 K.     

Sustained Release of Protein Particle Encapsulated in Bead-on-String Electrospun Nanofibers

The feasibility of alleviating burst release of electrospun bead-on-string nanofiber scaffolds loaded with protein particles was evaluated, including an investigation of the influence of the beads number on the release profile. Bovine serum albumin–loaded dextran particles were used as the model drug and poly(lactic-co-glycolic acid) as the polymer to fabricate the bead-on-string nanofiber scaffolds by electrospinning. Both the bead structure and the distribution of the particles in the beads were examined by scanning electron, transmission electron, and fluorescence microscopy. The results of fluorescence microscopy suggested that the particles were well encapsulated by the beads of the fibers. In vitro release tests showed that a more sustainable release profile with less initial burst release could be obtained from the bead-on-string fibers than from smooth fibers with uniform diameter. In addition, when the number of the forming beads was not numerous enough to encapsulate all the particles in the suspensions, the release performance worsened because the surplus particles were not properly encapsulated.