Effect of preparation method on the properties of deposited copper-palladium deep-oxidation catalysts

Activity of alumocopper-palladium catalysts (0.5 at.% Pd, 0.1–3.0 at.% Cu) which differ in preparation method in CO, C₂H₄ and CH₄ oxidation is studied. It is shown that preliminary modification of a carrier by copper leads to an enhancement of catalyst activity as compared with an alumopalladium one. With the methods of EDRS, TPR-TRS, and TPR of adsorbed CO and O₂, the Pd/Cu/Al₂O₃, Cu/Pd/Al₂O₃ and (Pd−Cu)/Al₂O₃, systems are studied. It is established that premodification of the carrier leads to a weakening of its interaction with the second metal while the combined deposition from one impregnating solution in subsequent thermal treatment is accompanied by a strong metal aggregation. Institute of Physicoorganic Chemistry, National Academy of Sciences of Belarus, 13, Surganov St., Minsk, 220072. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 65, No. 1, pp. 114–120, January–February, 1998.     

Spectra of Large Random Trees

We analyze the eigenvalues of the adjacency matrices of a wide variety of random trees. Using general, broadly applicable arguments based on the interlacing inequalities for the eigenvalues of a principal submatrix of a Hermitian matrix and a suitable notion of local weak convergence for an ensemble of random trees that we call probability fringe convergence, we show that the empirical spectral distributions for many random tree models converge to a deterministic (model-dependent) limit as the number of vertices goes to infinity. Moreover, the masses assigned by the empirical spectral distributions to individual points also converge in distribution to constants. We conclude for ensembles such as the linear preferential attachment models, random recursive trees, and the uniform random trees that the limiting spectral distribution has a set of atoms that is dense in the real line. We obtain lower bounds on the mass assigned to zero by the empirical spectral measures via the connection between the number of zero eigenvalues of the adjacency matrix of a tree and the cardinality of a maximal matching on the tree. In particular, we employ a simplified version of an algorithm due to Karp and Sipser to construct maximal matchings and understand their properties. Moreover, we show that the total weight of a weighted matching is asymptotically equivalent to a constant multiple of the number of vertices when the edge weights are independent, identically distributed, nonnegative random variables with finite expected value, thereby significantly extending a result obtained by Aldous and Steele in the special case of uniform random trees. We greatly generalize a celebrated result obtained by Schwenk for the uniform random trees by showing that if any ensemble converges in the probability fringe sense and a very mild further condition holds, then, with probability converging to one, the spectrum of a realization is shared by at least one other (nonisomorphic) tree. For the linear preferential attachment model with parameter a>?1, we show that for any fixed k, the k largest eigenvalues jointly converge in distribution to a nontrivial limit when rescaled by $n^{1/2\gamma_{a}}$ , where ?? _a =a+2 is the Malthusian rate of growth parameter for an associated continuous-time branching process.     

Tests of ordered hypotheses in linkage in heredity

The asymptotic null distribution of the likelihood ratio test for two cases of ordered hypotheses in a particular genetic model is considered. A simple iterative process is proposed in order to get the restricted estimates. It is shown that both tests have asymptotically a chi-bar squared distribution and the same size. A simulation study is also conducted in order to compare the usual unrestricted test with the corresponding one of ordered hypotheses. Finally, the results are extended to some special cases.     

基于(火积)耗散极值原理的管外流场优化

本文基于(火积)耗散极值原理得到了对流传热的优化场协同方程,用Fluent数值模拟求解层流状态下的管外流动换热的优化流场。得到了管外流动的优化速度场为多纵向涡结构形态,对优化流场进行分析,发现优化流场的综合换热效果远远高于原型流场。通过在管外添加扰流片的方法,来产生带有纵向涡的流场,达到优化管外流动传热的目的。数值模拟结果表明,添加扰流片在一定程度上可以强化管外对流换热。     

Monotonically increasing functions of any quantum correlation can make all multiparty states monogamous

Monogamy of quantum correlation measures puts restrictions on the sharability of quantum correlations in multiparty quantum states. Multiparty quantum states can satisfy or violate monogamy relations with respect to given quantum correlations. We show that all multiparty quantum states can be made monogamous with respect to all measures. More precisely, given any quantum correlation measure that is non-monogamic for a multiparty quantum state, it is always possible to find a monotonically increasing function of the measure that is monogamous for the same state. The statement holds for all quantum states, whether pure or mixed, in all finite dimensions and for an arbitrary number of parties. The monotonically increasing function of the quantum correlation measure satisfies all the properties that are expected for quantum correlations to follow. We illustrate the concepts by considering a thermodynamic measure of quantum correlation, called the quantum work deficit.     

355 nm脉冲激光在甲烷中的高效多波长拉曼转换

 研究了脉冲Nd:YAG激光（355 nm）泵浦的甲烷中多级Stokes光的产生和惰性气体对其转换效率的影响,其中一级和二级Stokes光的最大能量转换效率分别可达71%和38%（对应量子效率为79%和48%）,大大高于已往文献报道的20%。在0.5 MPa下,可同时获得322 nm（3.6%）,355 nm（24.5%）,396 nm（24.3%）,448 nm（22.3%）和515 nm（9.3%）的多波长输出。甲烷压力对多级Stokes转换有显著影响：高气压利于产生高效的一级Stokes光,而低气压则适合于高级Stokes光的产生。根据级联受激拉曼散射(SRS)和四波混频(FWM)理论对实验结果进行了分析,结果表明甲烷中高级Stokes光的产生是SRS和FWM协同作用的结果。加入的氦气增强了甲烷中Stokes光的转换效率,而氩气的作用恰恰相反,利用热透镜效应可以很好地解释这些现象。     

Chaos in the delay logistic equation with discontinuous delays

This paper analyzes a delay logistic equation which models a feedback control problem. Interval map associated to the system is derived. By calculating Lyapunov exponent, we indicate stable orbit and chaotic phenomenon respectively. The results are verified through computer simulation. We identify the parameter which controls the dynamics.     

Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function

In this note, a common quadratic Lyapunov function is explicitly calculated for a linear hybrid system described by a family of simultaneously triangularizable matrices. The explicit construction of such a function allows not only obtaining an estimate of the convergence rate of the exponential stability of the switched system under arbitrary switching but also calculating an upper bound for the output during its transient response. Furthermore, the presented result is then extended to the case where the system is affected by parametric uncertainty, providing the corresponding results in terms of the nominal matrices and uncertainty bounds.     

高超声速飞行器高温流场对激光武器毁伤效应的影响

以美国ABL系统激光武器为例,分析了高超声速飞行器高温流场气体影响激光武器毁伤效应的一些主要因素,包括气体击穿、等离子体屏蔽效应、烧蚀产物颗粒的影响。结果表明:通常情况下,流场电子数密度小于1017cm-3,流场本身等离子体特性不会引起对激光的等离子体屏蔽效应;只有在0.5 km射程以内和宽脉冲激光引起的高压流场(约10 MPa以上)气体击穿,才会导致明显的等离子体屏蔽效应,但在实际战场条件下这种情况一般不会发生;对采用烧蚀手段进行防热的飞行器而言,飞行高度大于10 km,并且基于自由来流流量的无量纲化烧蚀流量小于10-2左右时,烧蚀产物颗粒不会引起激光的衰减。     

温度对潜望式激光通信终端SiC反射镜性能影响

分析了温度梯度和均匀温度对潜望式激光通信终端反射镜形变的影响,利用椭圆域上的Zernike多项式对椭圆反射镜的波前进行拟合,计算由于热形变导致的波前畸变误差,给出了星间激光通信终端反射镜均方根值、发射光束瞄准误差、接收端光强随温度梯度和均匀温度的变化关系。结果表明:温度梯度对反射镜的影响只是引起峰值光强的漂移和少许下降,当温度梯度为14 ℃/m时瞄准误差达2.1 μrad。均匀温度会引起接收端的光强分布变化,从而导致很大的瞄准误差和光强衰减,当均匀温度与参考温度的差值小于0.6 ℃时,由波前畸变误差引起的瞄准误差小于1 μrad,当差值大于0.6 ℃时,瞄准误差突然增大到几μrad,接收端光强分布发生变化,此时反射镜热形变引起的像散项对光强分布起重要作用。