光捕获和光操控研究进展

光捕获和光操控是一种通过光镊、倏逝波、光泳或光热等对微纳尺度颗粒、生物大分子和细胞等微小物体进行非接触、无损伤捕获和操控的方法和技术.详细归纳和总结了国际上在光捕获和光操控方面的研究进展和最新动态,分析了其今后的研究发展方向.     

Half-metallic ferromagnetism in rocksalt and zinc-blende MS (M=Li, Na and K): A first-principles study

First-principles full-potential linearized augmented plane-wave method is used to investigate the electronic structure and magnetic properties of hypothetical zinc-blende and rocksalt LiS, NaS and KS. We find that all the compounds except rocksalt LiS exhibit half-metallic ferromagnetism with an integer magnetic moment of 1.00 μ_B per formula unit. The ferromagnetism results from the spin-polarization of p states of anion S. Total energies calculations indicate the rocksalt phase is lower in energy than the zinc-blende one. The total energy differences are about 0.38, 0.36 and 0.32 eV per formula unit for LiS, NaS and KS, respectively. Meanwhile, it is shown that rocksalt NaS and KS have the half-metallic gaps of 0.22 and 0.41 eV, respectively, and the half-metallic gaps are 0.03, 0.46 and 0.65 eV for zinc-blende LiS, NaS and KS, respectively. We also find the half-metallicity is robust against the lattice contraction up to 7% and 13% for rocksalt NaS and KS, respectively. Although rocksalt LiS is nonmagnetic and metallic at the equilibrium lattice constant, it shows half-metallic ferromagnetism when the lattice constant is larger than 5.40 Å.     

Decoherence-free subspaces of anyon states

In this paper, we propose decoherence-free subspaces (DFSs) of anyon states under two kinds of noises. The forms of collective dephasing and collective rotation noises are introduced. The invariance requirement under these noises give some restrictions of the winding number of anyons. We put forward a scheme to realize the DFS of anyon states in the Kitaev spin-lattice model, and give some discussion of general kinds of anyons.     

Little’s law when the average waiting time is infinite

One version of Little’s law, written as $L = \lambda w$ , is a relation between averages along a sample path. There are two others in a stochastic setting; they readily extend to the case where the average waiting time $w$ is infinite. We investigate conditions for the sample-path version of this case to hold. Published proofs assume (our) Eq. (3) holds. It is only sufficient. We present examples of what may happen when (3) does not hold, including one that may be new where $w$ is infinite and $L$ is finite. We obtain a sufficient condition called “weakly FIFO” that is weaker than (3), and through truncation, a necessary and sufficient condition. We show that (3) is sufficient but not necessary for the departure rate to be equal to the arrival rate.     

A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes

We are interested in a robust and accurate domain decomposition algorithm with interface conditions of Robin type on non-matching multiblock grids using a cell functional minimization scheme, which has a good performance on non-orthogonal meshes. In order to treat the non-matching grids at the interface, we introduce the \(L^2\) projection operator to ensure weak continuity of the primary unknown and of the normal flux across the non-matching interface. Furthermore, we prove the wellposedness of local and global problems and obtain as well an error estimate of first order in a discrete \(H^{1}\) -norm only using the \(L^{2}\) projection operator on the non-matching interface, as done in the matching case. Numerical results are presented in confirmation of the theoretical results.     

Schur定理的推广

通过计算及归纳的方法,得到了n×n矩阵代数中极大线性无关的反交换2-幂零矩阵的个数,推广了相关文献中的一般线性李代数gl(n)的交换子代数的最大维数这一结论.     

伊犁河、额尔齐斯河两水域中东方欧鳊的几个生化指标的比较研究

东方欧鳊(Abramis brama orientalis Berg)源于苏联咸海,我区伊犁河和额尔齐斯河均有分布,由于地理隔离的结果,两水系的东方真鳊已在形态学上出现了某些差异,为进一步探明二者间的亲缘关系,我们进行了鱼肉蛋白质含量、鱼肉氨基酸组成,LDH同工酶、血清蛋白等生化指标的比较研究,结果表明除了氨基酸组成及含量基本未发生变化外,其余三项指标均有显著不同,即说明两水系的东方欧鳊已出现种群间差异,至于是否已分化成两个不同的亚种,尚待进一步研究.     

细胞神经网络的指数稳定性

该文研究了具有可变时滞的随机细胞神经网络的指数 稳定性,应用Razumikhin定理与Lyapunov函数,建立了这种细胞神经网络均方指数稳定与几乎必然指数稳定的两类判据,一类是时滞无关而另一类是时滞相关.     

固体间界面的物理模型和界面对声波的反射

简要描述了模拟两固体间界面特性的弹簧模型，该模型最早是根据静力学方法提出的，后来用固体间界面薄层的声波反射方法加以改进，从界面弹簧模型可以方便地得到界面外近似边界条件，其中包含界面“弹簧”振子的劲度常数和质量，文章还给出了两相间固体中界面声反射系数的表达式，介绍了测量界面劲度常数的超声反射谱方法。最后讨论了仍关声波与界面相互作用研究领域中最近的一些研究进展。