Feedback control in a coupled Brownian ratchet

On the basis of the double-well ratchet potential which can be calculated theoretically and implemented experimentally, the influences of the time delay, the coupling constant, and the asymmetric parameter of the potential on the performance of a delayed feedback ratchet consisting of two Brownian particles coupled mutually with a linear elastic force are investigated. The centre-of-mass velocity of two coupled Brownian particles, the average effective diffusion coefficient, and the Pe number are calculated. It is found that the parameters are affected by not only the time delay and coupling constant but also the asymmetric parameter of the double-well ratchet potential. It is also found that the enhancement of the current may be obtained by varying the coupling constant of the system for the weak coupling case. It is expected that the results obtained here may be observed in some physical and biological systems.     

重力对层流扩散火焰烟黑生成特性影响

本文采用数值模拟方法研究了重力对甲烷/空气同轴射流层流扩散火焰烟黑生成特性的影响,数值分析中将详细的气相化学反应机理、复杂的热物性和输运特性关系、半经验的双方程烟黑生成模型和非灰体辐射模型耦合到燃烧场的计算中。同时考虑烟黑经O_2、OH和O的氧化途径。热辐射计算采用与统计窄波段调K(SNBCK)模型相耦合的离散坐标法求解。烟黑的谱带吸收系数根据小颗粒的Rayleigh理论计算。结果表明,随着重力水平的降低,火焰峰值温度降低,微重力下烟黑浓度的最大值约为正常重力下相应火焰的两倍。这一计算结果与已有的试验数据符合较好。计算结果还表明,重力也影响烟黑成核和表面生长的位置和强度。     

Morgan-Scott型剖分上的样条空间的奇异性

Multivariate spline function is an important research object and tool in Computational Geometry. The singularity of multivariate spline spaces is a difficult problem that is ineritable in the research of the structure of multivariate spline spaces. The aim of this paper is to reveal the geometric significance of the singularity of bivariate spline space over Morgan-Scott type triangulation by using some new concepts proposed by the first author such as characteristic ratio, characteristic mapping of lines （or ponits）, and characteristic number of algebraic curve. With these concepts and the relevant results, a polished necessary and sufficient conditions for the singularity of spline space S u＋1^u （△MS^u） are geometrically given for any smoothness u by recursion. Moreover, the famous Pascal＇s theorem is generalized to algebraic plane curves of degree n≥3.     

光生电子和由还原剂提供的电子在卤化银颗粒中性能的比较

本文研究了光生电子和还原剂提供的电子在卤化银晶体中的行为。光灰化和还原剂灰化生成的灰雾中心的位置不同。光灰化时灰雾中心优先在卤化银颗粒内部形成,表明光生电子可以直接进入卤化银晶体的导带。还原灰化时内部灰雾中心只有在灰化剂量足够多时才形成,而且滞后于表面灰雾中心的形成,表明还原剂提供的电子虽然可以进入卤化银的导带,但它们进入导带的方式与光生电子不同。