The structure on invariant measures of <Emphasis Type="Italic">C</Emphasis><Superscript>1</Superscript> generic diffeomorphisms

Let Λ be an isolated non-trivial transitive set of a C 1 generic diffeomorphism f ∈ Diff (M ). We show that the space of invariant measures supported on Λ coincides with the space of accumulation measures of time averages on one orbit. Moreover, the set of points having this property is residual in Λ (which implies that the set of irregular+ points is also residual in Λ). As an application, we show that the non-uniform hyperbolicity of irregular+ points in Λ with totally 0 measure (resp., the non-uniform hyperbolicity of a generic subset in Λ) determines the uniform hyperbolicity of Λ.     

用于光电仪器和相关测量的自混合干涉技术（特邀）

回顾了一种全新结构的干涉仪—自混合干涉仪（SMI）的发展情况。SMI由于其在激光器外部无需任何光学元件且应用范围广泛而倍受关注。SMI可用于测量与光路长度有关的一些量（如位移、小幅度振动、速度）,也可用于测量弱光的回波（即回波损耗和隔离因子的测量）并可表征与介质相互作用特性相关的物理参数（如激光线宽、相干长度以及α因子等）。SMI是一种相干探测方法,其工作在靠近接收场的量子极限处,目前对散射目标物的最小探测幅值可达槡20 pm/（Hz）～（1/2）甚至更高,使用角锥棱镜使其计数步长为半波长,在动态范围为2 m时其分辨率约为0.5μm。另外,SMI结构紧凑、易于现场安装且可用于MEMS测试、旋转机械振动测试和生物运行测试等各种实验。     

Generalized elastic curves in the Lorentz flat space <Emphasis Type="Italic">L</Emphasis><Superscript>4</Superscript>

In this paper, we study the extremals of the curvature energy actions on non-null curves in the four-dimensional Lorentz-Minkowski space. We derive the motion equations and find three Killing fields along the generalized elastic curves. We also construct a cylindrical coordinate system using these Killing fields and express the generalized elastic curves by means of quadratures.     

Design and construction of the first prototype ionization chamber for CSNS and PA beam loss monitor (BLM) system

Design and construction of the first prototype ionization chamber for CSNS and Proton Accelerator (PA) beam loss monitor (BLM) system is reported. The low leakage current (<0.1 pA), good plateau (≈800 V) and linearity range up to 200 Roentgen/h axe obtained in the first prototype. All of these give us good experience for further improving the ionization chamber construction.     

率相关本构方程积分新算法

提出一种积分率相关本构方程的隐式积分新算法,引入0～1范围内的缩放因子λ对本构方程进行间接求解,可以避免直接求解等效塑性应变或等效塑性应变率时,由于其数值过大或过小而造成的收敛困难或收敛失败,实现对率相关本构方程的快速准确求解.以B-P统一本构方程及双曲正弦本构方程为例,验证了算法的可行性.结果表明,新算法对于准静态变形条件下的无硬化本构方程也可以得出准确的解.     

Pool boiling heat transfer of ultra-light copper foam with open cells

High speed visualizations and thermal performance studies of pool boiling heat transfer on copper foam covers were performed at atmospheric pressure, with the heating surface area of 12.0 mm by 12.0 mm, using acetone as the working fluid. The foam covers have ppi (pores per inch) from 30 to 90, cover thickness from 2.0 to 5.0 mm, and porosity of 0.88 and 0.95. The surface superheats are from −20 to 190 K, and the heat fluxes reach 140 W/cm². The 30 and 60 ppi foam covers show the periodic single bubble generation and departure pattern at low surface superheats. With continuous increases in surface superheats, they show the periodic bubble coalescence and/or re-coalescence pattern. Cage bubbles were observed to be those with liquid filled inside and vented to the pool liquid. For the 90 ppi foam covers, the bubble coalescence takes place at low surface superheats. At moderate or large surface superheats, vapor fragments continuously escape to the pool liquid.     

CCL非线性平衡吸附条件下填埋场渗滤液运移过程数值分析

采用Langmuir等温吸附方程表示黏土对渗滤液中某种污染物的非线性吸附,依据污染物在多孔介质中运移机理,建立了渗滤液在饱和多孔介质运移的一维数学模型。在考虑填埋场采用压实黏土衬里防渗层、垃圾生物降解生成污染物的特性、在填埋场下含有一定厚度含水层等实际情况下,采用有限差分法求解控制方程。通过参数对比计算与分析表明,与线性吸附相比,非线性吸附使得污染物的穿透能力增强,污染物浓度随时间变化曲线尖锐而狭窄、峰值浓度出现时间提前、曲线有尾部拖长现象。组合参数Sl对污染物运移影响较大,当Sl取值较大时,可降低污染物浓度,"挫峰"能力增强,污染物浓度随时间变化曲线表现出线性吸附性质。参数K1对污染物运移影响较参数Sl小。压实黏土衬里的渗透系数较低时,弥散控制污染物运移,且弥散系数较大和较小时,穿透曲线分别表现出线性吸附性质和非线性性质。     

The Full Study of Planar Quadratic Differential Systems Possessing a Line of Singularities at Infinity

In this article we make a full study of the class of non-degenerate real planar quadratic differential systems having all points at infinity (in the Poincaré compactification) as singularities. We prove that all such systems have invariant affine lines of total multiplicity 3, give all their configurations of invariant lines and show that all these systems are integrable via the method of Darboux having cubic polynomials as inverse integrating factors. After constructing the topologically distinct phase portraits in this class we give invariant necessary and sufficient conditions in terms of the 12 coefficients of the systems for the realization of each one of them and give representatives of the orbits under the action of the affine group and time rescaling. We construct the moduli space of this class for this action and give the corresponding bifurcation diagram. Dedicated to Professor Zhifen Zhang on the occasion of her 80th birthday     

Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space

In this paper, we investigate the complete spacelike hypersurfaces with constant mean curvature and two distinct principal curvatures in an anti-de Sitter space. We give a characterization of hyperbolic cylinder and prove the conjecture in a paper by L. F. Cao and G. X. Wei [J. Math. Anal. Appl., 2007, 329(1): 408–414].     

荧光关联谱的数据处理改进方法

荧光关联谱方法凭借其独特的对溶质浓度及扩散系数的测量能力,在对复杂系统的分子物理化学性质测量方面,不断扩大和深化其应用领域。但是从经典上,传统的荧光关联谱数据处理方法容易在拟合自相关曲线的参数时引入一定的误差,而且图表上的直观信息不多。针对以上问题,在文章中作者尝试用带有微分的数据处理办法,来更直观地估测参数并判断荧光多组分问题。经典自相关曲线处理后的微分曲线,有特异的波谷位置、深度和半深宽度,由此可判断特征扩散时间和多荧光成分的组分数目。此改进方法为利用荧光涨落谱方法测量生物组织体内的复杂环境提供帮助。