Tests for Varying G

In this note we consider a variable G cosmology which is consistent with observation and which had successfully predicted an ever expanding accelerating universe with a small cosmological constant amongst other things. Three further tests are proposed in this note: First, the inexplicable anomalous accelerations of the Pioneer spacecrafts can be explained. It is then shown that the observed shortening of the orbital periods of binary pulsars is in good agreement with this model. Finally, more general changes in orbital parameters are deduced, which may be observed in the future.     

Total Variation and Multisymplectic Structure for CNLS System

The relation between the total variation of classical field theory and the multisymplectic structure is shown. Then the multisymplectic structure and the corresponding multisymplectic conservation of the coupled nonlinear Schrodinger system are obtained directly from the variational principle.     

Uniform Drug Loading into Prefabricated Microparticles by Freeze‐Drying

Microparticle‐based drug delivery is a promising technology for small volume bioassay platforms. The general utilization of the drug‐loaded microparticles in the in vitro bioassay platforms requires the drug loading method, which should impregnate the general drug types (e.g., water insoluble) with high payload into the variously designed microparticles. Loading the drug into the prefabricated microparticles using solvent evaporation satisfies the requirement. However, similar to the “coffee‐ring effect,” drugs are loaded in a seriously nonuniform manner, caused by the capillary flow during the evaporation process. Here, it is presented that the freeze‐drying is an efficient way to load uniform and high amount of the drug into the prefabricated microparticles. It is demonstrated that freezing solvent can block the capillary flow during the solvent removal process, improving the loading uniformity. The delivered amount of drugs is linearly proportional to the initial loading amount of drugs. Also, this drug loading method is shown to be applied to the various drug types and the prefabricated microparticles with different properties. Considering many challenges to suppress the “coffee‐ring effect” that induces nonuniform impregnation/deposition, the proposed concept can be applied not only for microparticle‐based drug delivery but also for uniform coating applications (e.g., thin‐film coating, DNA/protein microarray).     

多端输出等幅振动的纵振动变换体

提出了一种一端输入多端输出等幅振动的纵振动方向变换体。变换体由输入杆、半球形过渡体和输出杆组成,通过半球形过渡体将一个输入杆与多个输出杆耦连为一体,并且多个输出杆呈立体分布,可实现一端纵振动输入多个方向上纵振动均匀输出。利用振动变换体端面的自由边界条件,以及各组件连接处的纵向位移、纵向力、横向位移和转角连续条件,推导了纵振动方向变换体的频率方程。解析计算了不同几何尺寸的纵振动变换体的谐振频率,与有限元法的计算值及实验测试值基本吻合。将纵振方向变换体的输入端与谐振频率为19.8 kHz的换能器相连,利用激光测振仪测试了纵振动变换体各输出端振型及各输出端相对于输入端的振幅放大系数,结果显示纵振动经过方向变换体成功地传输到了变换体的各输出杆的端面,且各输出端的振幅基本相等。     

On guaranteed stability of uncertain linear systems via linear control

This paper addresses the problem of stabilizing an uncertain linear system. The uncertaintyq(·) which enters the dynamics is nonstistical in nature. That is, noa priori statistics forq(·) are assumed; only boundsQ on the admissible variations ofq(·) are taken as given. The results given here applied to so-called matched systems differ from previous results in two ways. Firstly, the stabilizing control in this paper is linear; for this same class of problems, many of the existing results would require a nonlinear control. Furthermore, those results which do in fact yield linear controls are only valid when a certain matrix (q) (formed using the given data) is negative definite for allq Q. In contrast, the theory given here only requires compactness of the bounding setQ. Secondly, we show that the so-called matching conditions (used in earlier work) can be generalized so as to encompass a larger class of dynamical systems.This research was supported by the US Department of Energy under Contract No. ET-78-S-01-3390.     

中国东部2012年夏季降水及年代际转型的可能信号分析

针对2012年夏季中国东部降水"南旱北涝"的异常特征, 对比分析了近50年不同年代中国东部降水的分布型及海洋和环流等影响因素, 并讨论了2012年中国东部夏季降水异常作为中国东部降水年代际转型信号的可能性. 研究结果表明: 1961—1978年期间, 北太平洋年代际涛动(PDO)处于冷位相, 东亚夏季风偏强, 西太平洋副热带高压(副高)偏弱, 北方地区冷空气活动偏弱, 从而有利于南方水汽北上, 造成中国北方地区夏季降水异常偏多; 1979—1992年间则呈相反的特征, 造成1970年代末期中国东部夏季降水发生了一次年代际尺度的调整. 2010年代后期以来, PDO由暖位相向冷位向转变, 2012年北太平洋海温异常偏暖, 西太平洋海温由异常偏暖状态转变为正常略偏冷状态, 东亚夏季风由弱变强, 副高由强变弱, 北方冷系统活动减弱, 这些特征均与1961—1978年时段的情况类似, 支持2012年作为中国东部夏季降水发生年代际调整的前期信号的可能性. 近10年PDO, 东亚夏季风(EASM), 副高(WPSH)和贝湖高压(BH)四种指数夏季平均值的演变则进一步说明 了2012年的这种异常特征不仅是年际尺度的振荡, 更可能是前期演化基础上的一种量变到质变的调整. 关键词： 年代际 降水 北太平洋年代际涛动 东亚夏季风     

Non-contemporaneous variations and Hölder’s principle

In the process of deducing the Hölder principle, a key step is to use the concept of non-contemporaneous variations. In this paper, whether starting from analytic method or from graphic solution method, the authors prove that the expression formula of non-contemporaneous variations is incorrect when the variable functions have zero-order nearness degree, and obtain a new expression. From the view of calculus of variations and differential calculus, the non-contemporaneous variations are studied. The study result shows that the concept of non-contemporaneous variations is a combination of the concept of variations and the concept of differentiation. The authors prove that the new expression is correct and obtain an equivalent expression of it. By means of this equivalent expression, this paper proves that the above expression formula of non-contemporaneous variations is correct when the variable functions have one-order nearness degree. Further study shows that, in the process of deducing Hölder’s principle, there is an implicit expression. Whether starting from analytic method or from graphic solution method, the authors discovered that the implicit expression of non-contemporaneous variations is incorrect when the variable functions have zero-order nearness degree and have one-order nearness degree. This paper proves that the implicit expression of non-contemporaneous variations is correct when the variable functions have two-order nearness degree. Further study shows that Hölder’s principle is tenable when the variable functions have two-order nearness degree.     

Spin-1 Blume–Capel model with random crystal field effects

The random-crystal field spin-1 Blume–Capel model is investigated by the lowest approximation of the cluster-variation method which is identical to the mean-field approximation. The crystal field is either turned on randomly with probability p$p$ or turned off with q=1−p$q=1-p$ in a bimodal distribution. Then the phase diagrams are constructed on the crystal field (Δ$\Delta$)–temperature (kT/J)$(kT/J)$ planes for given values of p$p$ and on the (kT/J,p$kT/J,p$) planes for given Δ$\Delta$ by studying the thermal variations of the order parameters. In the latter, we only present the second-order phase transition lines, because of the existence of irregular wiggly phase transitions which are not good enough to construct lines. In addition to these phase transitions, the model also yields tricritical points for all values of p$p$ and the reentrant behavior at lower p$p$ values.     

一类具有Markov性质的混沌系统的构造

本文构造了一类具有Markov性质的分段扩张线性映射, 计算表明其具有正的李雅普诺夫指数. 通过理论分析, 证明了其极限分布是均匀分布, 并给出了其最小周期的计算公式. 通过分析符号熵测度应用于此系统时的具体涵义, 指出该系统的复杂度与系统的最小周期之间存在着矛盾关系, 说明了此系统具有可控的复杂度并给出了其复杂度随系统参数变化时的理论极限公式. 通过统计测试和复杂度测试表明, 此系统产生的混沌序列服从均匀分布, 而通过参数的调整该系统的符号熵可以接近其理论极限, 而与Logistic映射和斜帐篷映射的基于近似熵和符号熵的对比实验可知, 本文所提系统具有更高的复杂度, 并有更长的最小周期. 这表明此系统比较适合用于构造保密通信系统. 关键词： 混沌 Markov性质 复杂度 均匀分布     

基于变压红外光谱研究离子液体[MPIM][I]与石墨烯氧化物之间的相互作用

本研究利用红外光谱研究不同压力下离子液体1-Methy1-3-propylimidazolium iodide([MPIM][I])与石墨烯及其氧化物的相互作用.结果表明,[MPIM][I]对压力的变化具有高敏感度,咪唑环与烷基链在0.4 GPa时产生相变化,可明显观察到吸收峰的裂解,且连续加压会导致咪唑环与烷基链的振动频率蓝移.[MPIM][I]与石墨烯作用时加压至2.5 GPa也未观测到相变化的产生,且咪唑环与烷基链的振动频率蓝移趋势也不明显;[MPIM][I]与石墨烯氧化物作用时咪唑环与烷基链的结果与添加石墨烯时几乎相同.石墨烯氧化物具有羟基、羧基、环氧基等共价键结在其表面,这些羟基会扰动[MPIM][I]中的咪唑环与烷基链,导致在常压下振动频率发生蓝移,进而表明石墨烯表面的官能基团会与离子液体产生相互作用.