Low dimensional chaos in the AT and GC skew profiles of DNA sequences

This paper investigates the existence of low-dimensional deterministic chaos in the AT and GC skew profiles of DNA sequences. It has taken DNA sequences from eight organisms as samples. The skew profiles are analysed using continuous wavelet transform and then nonlinear time series methods. The invariant measures of correlation dimension and the largest Lyapunov exponent are calculated. It is demonstrated that the AT and GC skew profiles of these DNA sequences all exhibit low dimensional chaotic behaviour. It suggests that chaotic properties may be ubiquitous in the DNA sequences of all organisms.     

The convergence of a modified smoothing-type algorithm for the symmetric cone complementarity problem

The symmetric cone complementarity problem (denoted by SCCP) is a broad class of optimization problems, which contains the semidefinite complementarity problem, the second-order cone complementarity problem, and the nonlinear complementarity problem. In this paper we first extend the smoothing function proposed by Huang et al. (Sci. China 44:1107–1114, 2001) for the nonlinear complementarity problem to the context of symmetric cones and show that it is coercive under suitable assumptions. Based on this smoothing function, a smoothing-type algorithm, which is a modified version of the Qi-Sun-Zhou method (Qi et al. in Math. Program. 87:1–35, 2000), is proposed for solving the SCCP. By using the theory of Euclidean Jordan algebras, we prove that the proposed algorithm is globally and locally quadratically convergent under suitable assumptions. Preliminary numerical results for some second-order cone complementarity problems are reported which indicate that the proposed algorithm is effective.     

液态Mg7Zn3合金快速凝固过程中微观结构演变机理的模拟研究

采用分子动力学方法对液态Mg₇Zn₃合金的快速凝固过程进行了模拟研究,并采用双体分布函数、Honeycutt-Andersen键型指数法、原子团类型指数法(CTIM)以及遗传跟踪等方法对凝固过程中团簇结构的形成、演变特性进行了分析.结果表明:在以冷速为1×10¹² K ·s^-1的凝固过程中, Zn-Zn原子之间的相互成键的概率明显增加,形成以1551,1541,1431键型为主的非晶态结构.其特征键型1551随温度变化 关键词： 液态MgZn合金 快速凝固过程 微观结构演变 分子动力学模拟     

原子与双模相干强场依赖强度耦合多光子过程中纠缠量度与制备

给出了依赖强度耦合双模多光子过程Jaynes-Cummings模型的有效哈密顿量.在强场条件下,分别用量子约化熵和量子相对熵研究了上述模型中原子与场之间的纠缠以及双模相干场的模间纠缠演化.研究表明,这两类纠缠演化均与原子跃迁时吸收(或发射)的光子数k密切相关.同时,还揭示了双光子过程(k=1)和多光子过程(k≥2)中不同的纠缠特性.讨论了纠缠态的制备,制备了与时间无关的原子-场的Einstein-Podolsky-Rosen态和双模相干场的模间纠缠态.     

纳米三明治结构光子超材料中电磁场振荡行为研究

对金属-介质-金属的三层纳米三明治结构中的磁性等离子体模式特性进行了时域有限差分数值计算分析,并给出该类谐振器的品质因数变化规律.基于纳米三明治结构中的磁性等离子体模式对该种结构进行设计,研究几何构型参数以及介质材料折射率对磁性等离子体模式的调控规律.以电感电容等效电路近似理论对纳米三明治结构磁性等离子体模式谐振频率的变化规律进行理论解释,理论解释与数值计算结果符合很好.同时还研究了纳米三明治振荡器对电磁能量的限制,并从热和辐射两方面分析了该类结构的品质因数变化情况,可为基于磁性等离子体模式的新型波导及激光器结构的设计提供指导.     

Comparison of the solutions from a novel variational method with numerical results for the study of beam propagation in a Kerr medium with nonlinear absorption

We present results from a novel variational method for the study of beam propagation in a Kerr medium with nonlinear absorption. This new method combines the variational method and a nonlinear absorption equation and gives a concise expression for the combination. The results obtained with this method show good quantitative agreement with numerical solutions obtained with the finite-difference method. It is shown that the variational method takes much less time than a numerical simulation with the finite-difference method for analysis of beam propagation in a thick medium with nonlinear absorption and nonlinear refraction. The new method makes detailed analysis of beam propagation in a Kerr medium with nonlinear absorption very simple and fast.     

激光加工技术中激光束的研究

从激光的特性出发,研究了激光光束及计算机控制系统在激光加工方面的缺陷,探讨了改进激光光束及设计软件的方案．     

ICF驱动器靶场环境温度分布特性实验

 对ICF驱动器靶场环境温度的分布特性进行了实验设计,利用PC-2WS多通道温度监测记录仪和PTWD-2A精密温度传感器进行了3个垂直截面的温度测量实验,应用MATLAB软件进行了数据处理,得出了靶场温度分布特性。实验结果表明：设计的暖通空调系统能够保持整个靶场环境温度的稳定,但由于内热源的影响在中间层靶室、编组站附近和工作人员活动频繁区域且由于下层安装设备集中处产生了较大局部环境温度梯度,因此,对这些区域需要加强温控措施。     

全光学高灵敏度铷原子磁力仪的研究

报道了一种全光学的高灵敏度铷原子磁力仪.其原理是基于激光束与处于微弱磁场中的铷原子的相互作用.这种相互作用与铷原子所处的环境中的磁场有关,因而通过测量透过铷原子气体的激光强度的变化可以获得磁场信息.分析了该磁力仪的工作原理,建立了相应的实验装置,并对其性能进行了测试.结果表明实验结果与理论相符合.进一步研究了影响磁力仪灵敏度的一些因素,提出了优化各参数来提高磁力仪灵敏度的方法.     

Generalized Bayes minimax estimators of the mean of multivariate normal distribution with unknown variance

We construct a broad class of generalized Bayes minimax estimators of the mean of a multivariate normal distribution with covariance equal to σ²I_p, with σ² unknown, and under the invariant loss δ(X)−θ²/σ². Examples that illustrate the theory are given. Most notably it is shown that a hierarchical version of the multivariate Student-t prior yields a Bayes minimax estimate.