BBH算子对P次有界变差函数的逼近度

本文运用概率工具，得出ＢＢＨ算子对在［０，∞）的任一有限子区间上具有Ｐ≥１次有界交差函数的逼近度估式，并讨论了对导函数为Ｐ≥１次有界变差函数时的逼近问题与渐近公式．     

高斯分布型白色噪音的计算机模拟及其处理

一、引言在很多物理实验中,检测信号除了有用的目的信号外,还包含各种其它成分。通常以“目的信号以外的不必要信号成分”作为噪音处理。测量系统中噪音来源多种多样,例如信号源本身产生的噪音,传感器产生的噪音,同步电路和放大电路产生的噪音,此外还有将模拟信号变成数字信号时的量子化噪音,如图1所示。     

Bidirectional highly-efficient quantum routing in a T-bulge-shaped waveguide

Quantum routing in a T-bulge-shaped waveguide system coupled with a driven cyclic three-level atom and a twolevel atom is investigated theoretically.By employing the discrete-coordinate scattering method,exact expressions of the transport coefficients along three ports of the waveguide channels are derived.Our results show that bidirectional high transfer-rate single-photon routing between two channels can be effectively implemented,with the help of the effective potential generated by two atoms and the external driving.Moreover,multiple band zero-transmission emerges in the scattering spectra,arising from the quantum interferences among photons scattered by the boundary and the bulged resonators.The proposed system may suggest an efficient duplex router with filtering functions.     

Hysteresis behavior and nonequilibrium phase transition in a one-dimensional evolutionary game model

We investigate a simple evolutionary game model in one dimension. It is found that the system exhibits a discontinuous phase transition from a defection state to a cooperation state when the b payoff of a defector exploiting a cooperator is small. Furthermore, if b is large enough, then the system exhibits two continuous phase transitions between two absorbing states and a coexistence state of cooperation and defection, respectively. The tri-critical point is roughly estimated. Moreover, it is found that the critical behavior of the continuous phase transition with an absorbing state is in the directed percolation universality class.     

多氢键反应-纳米金共振散射光谱法测定三聚氰胺

在pH 7.0的磷酸盐缓冲溶液中,氯金酸被3,5-二羟基苯甲酸(DBA)还原生成的金纳米粒子在610nm处产生一个较强的共振散射峰;当有三聚氰胺(MA)存在时,DBA与MA形成多氢键化合物而不能还原氯金酸,导致610 nm处共振散射峰的强度降低.三聚氰胺的浓度在5.0×10 -6～4.0×10-5 mol·L-1范围内...     

大型离心叶轮振动模态局部化特性研究

为了研究目前工程中大型流体机械离心叶轮出现的局部疲劳破坏的机理,基于现有的有限元分析方法,结合模态分析等动力学理论以及叶轮所承受的气流激励,对其动力学特性进行了研究。着重研究了离心叶轮这类周期循环对称性结构具有的不同于非周期循环结构的特殊动力学性质以及该特殊的动力学特性与叶轮疲劳破坏的联系。研究发现其存在频率通带(passbands)、频率禁带(stopbands)现象,并出现了振动模态局部化现象。另外,叶轮的动力学特性对其周期性结构失谐特别敏感,该类失谐可来自由制造误差、材料和使用中磨损出现的不均匀等多种因素。对于协调结构,在一定条件下(如系统具有高密集模态),很小的失谐量(1%)就可使结构振动模态产生急剧变化,从而出现振动模态局部化现象。对于所研究的机组,当进口预旋器导致的流体激振频率(1166.7Hz)接近叶轮的由第12阶～18阶固有频率组成的禁带(1020.3～1054.5 Hz)时,数值分析结果显示叶片进口部位出现了振幅较大的振动,与该机组实际破坏的部位相符。研究结果表明所使用的振动模态局部化分析方法能够揭示叶轮发生疲劳破坏的原因,即是一类共振型疲劳破坏现象。     

Synchronization of Local Oscillations in a Spatial Rock-Scissors-Paper Game Model

We study a spatial rock-scissors-paper model in a square lattice and a quenched small-world network. The system exhibits a global oscillation in the quenched small-world network, but the oscillation disappears in the square lattice. We find that there is a local oscillation in the square lattice the same as in the quenched small-world 1 network. We define σ = 1/N ∑i（di-〈di〉^2 （where di is the density of a kind of species and （di） is the average value） as the variance of the oscillation amplitude in a certain local patch. It is found that σ decays in a power law with an increase of the local patch size R in the square lattice σ ∝ R^-σ, but it remains constant with an increase of the patch size in the quenched small-world network. We can speculate that in the square lattice, superposition between the local oscillations in different patches leads to global stabilization, while in the quenched small-world network, long-range interactions can synchronize the local oscillations, and their coherence results in the global oscillation.     

电力市场实用稳定性的判定条件

首次把实用稳定性的理论用于电力市场稳定性的研究中.结合Alvarado提出的电力市场动态模型,利用微分代数方程与特征值技术,从理论上研究电力市场的实用稳定性,并且给出了判断电力市场实用稳定、一致实用稳定和实用渐近稳定性的充分条件.利用这些实用稳定性条件,对于Alvarado给出的数值算例,可方便地利用初始数据判断电力市场模型的实用稳定性,并通过实例提供了假设模型中某个参数在电力市场变化中起主要作用,如何控制电力市场模型实用稳定性的方法.最后利用Maple软件包给出了参数变化引起模型实用稳定和不稳定的图形演示.     

小型光泵NH3分子远外激光器的模式竞争

通过求解四能级系统的半经典 密度矩阵方程迭代法计算了ＣＯ２－１０Ｒ泵浦小型超辐射光泵ＮＨ３分子远红外激光器的Ｐ埃Ｑ支跃迁输出光强的增量比。计算表明在超辐射小型ＮＨ３光泵远红外激光器中，Ｖ２：α→ｓＰ（５，４）和α→ｓＱ（５，４）模式竞争结果，Ｑ支跃迁占优势，使Ｐ支被抑制。理论计算与实验结果一致。     

光泵NH3分子远红外激光研究

运用量子系统的密度矩阵理论，采用迭代法计算了光泵ＮＨ３分子远红外超辐射和腔式激光的频谱特性和相应的最佳工作气压。理论计算表明相对于超辐射方式，光泵腔式ＮＨ３分子远红外激光具有宽带辐射以及纵向调谐特性，且总的输出光强在一定条件下得到提高，最佳工作气压也较低。在实验上对ＴＥＡＣＯ２－１０Ｒ（８）和９Ｒ（１６）泵浦的Ｎ 红外超辐射和腔式激光器产生的远红外辐射进行了测量。结果表明理论计算与实验结果相符。