Aligned porous materials by directional freezing of solutions in liquid CO2

We report here a method for generating structures with aligned macropores by templating solidified carbon dioxide. The CO2 template phase can be removed by direct sublimation to yield a dry, solvent-free porous material that may be useful in applications such as tissue engineering and aligned cell growth.     

Duplex and hairpin dimer structures for perylene diimide-oligonucleotide conjugates

Perylene diimide-oligonucleotide conjugates can form either duplex or hairpin dimer structures, depending upon the choice of oligonucleotide base sequence; we have used a combination of optical spectroscopy and molecular modeling to investigate the structures of the duplex and hairpin dimer.     

Electrodeposition of ferrocenoyl peptide disulfides

Using electrodeposition of cyclic and acyclic Fc-peptide disulfides tightly-packed Fc-peptide monolayers were conveniently formed, which exhibit significant differences in their electron transfer kinetics.     

New results on quadratic stabilization of switched linear systems with polytopic uncertainties

^** Corresponding author. Email: longwang{at}pku.edu.cn^*** Email: jizj{at}mech.pku.edu.cn In this paper, the quadratic stabilization of switched linearsystems with polytopic uncertainties is considered. Comparedwith the existing result, a more general switching control methodis proposed to guarantee the quadratic stabilization. This switchingcontrol method is based on the partition of the vertex matrixset of each subsystem. By this method, the matrix inequalitiesneeded to be solved are always less than those needed to besolved before except one extreme case; for this case, it isequal. The switched control synthesis problem is also studiedfor both switched state feedback and output feedback. Severalbilinear matrix inequality based conditions are derived forboth cases.     

Factorization of Q(h(T)(x)) over a finite field,where Q(x) is irreducible and h(T)(x) is linear II

Let GF(q) be the finite field of order q, let Q(x) be an irreducible polynomial in GF(qⁱ)[x], and let H(x) = h(T)(x) be a linear polynomial in GF(q)[x]. We give the degrees of the irreducible factors of Q(H(x)) in GF(qⁱ)[x], and the number of irreducible factors of each degree. We consider the special cases when H(x) is a trace function, and when h(x) is cyclotomic. Finally, we give several examples.     

Stability of linear time variant dynamic systems with multiple time delays

By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives. The project supported by the National Natural Science Foundation of China under the Grant of 59625511.     

Early stages of laser mixing process in Sb/Ge multilayer thin films

The onset of mixing at the interfaces between Sb and Ge in thin multilayered films containing two or four layers has been studied. The films were irradiated with nanosecond laser pulses in order to trigger mixing, and in situ reflectivity measurements were used to follow the transformation in real-time. Cross sectional transmission electron microscopy analysis was used to study both the structure and the composition profile before and after irradiation.A threshold irradiation energy exists for the onset of mixing, below which roughening of the interface between the layers is observed, together with recrystallization of the surface Sb layer following melting. The results are consistent with a melting/diffusion process which is inhomogeneously nucleated at the interface between the top Sb and Ge layers. Once mixing is initiated an amorphous Sb-Ge layer of constant thickness is formed, corresponding to mixing along a well defined planar melt front. Voids are observed at the former Sb/Ge interface, which may be related to interfacial stress in the as-grown configuration.     

温度对光学微腔光子激子系统玻色凝聚的影响

建立了光学微腔中光子激子系统的物理模型,确定了光学微腔宽度为常数和可变这两种情况下玻色凝聚时化学势的变化范围和粒子数密度随温度和位置的变化规律.以半导体GaAs光学微腔为例,探讨了温度对玻色凝聚的影响.研究表明:系统出现玻色凝聚时激子化学势的变化范围与材料介电函数、微腔宽度有关,而光子和激子的粒子数密度及总粒子数还与温度有关.玻色凝聚温度理论值与实验值接近.刚出现玻色凝聚时,光子和激子的粒子数密度几乎相等,且局限在r=0的附近;随着温度的降低,光子和激子的粒子数密度都增加,且存在的范围也不断扩大;不论光学微腔宽度是否可变,光子和激子的粒子数密度以及总粒子数都随温度的降低而增大,光子数总是多于激子数.     

膜系光谱系数对膜层参数的一阶和二阶偏导数的计算模型

为了寻找一种膜系深入分析与设计的有力辅助计算工具,从光学薄膜光谱系数的矩阵计算理论出发,基于对矩阵求迹运算的巧妙运用,从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。这一偏导数计算模型物理上与矩阵理论具有一致的通用性和普适性,适用于任何各向同性的均匀膜系统。在数学上也严格成立,数值编程计算不存在差分近似,精度达到了计算机浮点运算的极限精度。而且算法运算费时少,计算速度快,取得了高度准确性和便于实时化的双重优越性能,非常有利于应用于膜系设计领域来提高膜层数较大时的设计速度和效率。同时,这一模型能非常便捷和准确地给出膜系许多实用的导数信息,对膜系分析、测量和膜厚监控等领域中的相关应用具有重要的参考意义。