同时带有强迫项和有限时滞的Lienard方程周期解的存在性

利用Mawhin延拓定理证明了一类具有强迫项的有限时滞Lienard方程x″(t)+f_1(x)x′(t)+f_2(x)(x′(t))~2+g(x(t-τ))=e(t)存在周期解的充分条件.     

First-Principles Investigation on Triazine Based Thermally Activated Delayed Fluorescence Emitters

Three kinds of triazine based organic molecules designed for thermally activated delayed fluorescence (TADF) emitters are investigated by first-principles calculations. An optimal Hartree-Fork (HF) method is adopted for the calculation of energy gap between the first singlet state (S1) and the first triplet state (T1). The natural transition orbital, the electronhole (e-h) distribution and the e-h overlap diagram indicate that the S1 states for the three systems include both charge-transfer and some localized excitation component. Further quantitative analysis of the excitation property is performed by introducing the index Δr and the integral of e-h overlap S. It is found that symmetric geometry is a necessary condition for TADF emitters, which can provide more delocalized transition orbitals and consequently a small S1-T1 energy gap. Artful inserting aromatic groups between donors and acceptors can significantly enhance the oscillator strength. Finally, the energy state structures calculated with the optimal HF method is presented, which can provide basis for the study of the dynamics of excited states.     

On <Emphasis Type="Italic">Saaty</Emphasis>’s and <Emphasis Type="Italic">Koczkodaj</Emphasis>’s inconsistencies of pairwise comparison matrices

The aim of the paper is to obtain some theoretical and numerical properties of Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices (PRM). In the case of 3 ×  3 PRM, a differentiable one-to-one correspondence is given between Saaty’s inconsistency ratio and Koczkodaj’s inconsistency index based on the elements of PRM. In order to make a comparison of Saaty’s and Koczkodaj’s inconsistencies for 4  ×  4 pairwise comparison matrices, the average value of the maximal eigenvalues of randomly generated n ×  n PRM is formulated, the elements a _ij (i < j) of which were randomly chosen from the ratio scale

New feature of delayed luminescence: preillumination-induced concavity and convexity in delayed luminescence decay curve in the green alga Pseudokirchneriella subcapitata

A new method for measuring delayed luminescence (delayed fluorescence) employs preillumination and a dark waiting period before normal excitation. The preillumination results in a concavity and a convexity in the decay curve in delayed luminescence in the green alga Pseudokirchneriella subcapitata. Formation of the concavity and the convexity is not affected by excitation wavelength (680 nm and 700 nm). However, the concavity and the convexity progressively decrease as the dark waiting period increases after preillumination. The formation of the concavity and the convexity was inhibited by exposure to the electron transport inhibitors DBMIB (644 μg/L, 2.0 μM) and Antimycin A (55 μg/L, 0.1 μM). Samples exposed to DBMIB exhibited noticeable reduction in the concavity, whereas samples exposed to Antimycin A exhibited pronounced reduction in the convexity. There is a possibility that the formation and disappearance of the concavity and the convexity are due to the reduction–oxidation state of the plastoquinone pool and the cyclic electron transport. We expect this method being useful in evaluating the effects of chemicals (particularly toxic chemicals) on photosynthetic reactions, and the method may also help to resolve questions regarding the source of long delayed luminescence.     

基于氰基化9-苯基芴衍生物的激基复合物发光与性质研究

激基复合物发光器件因给、受体材料掺杂比例易调且易实现小的单线态-三线态能隙差等优势, 在发展工艺简单、性能高效的有机发光二极管方面显示出很大的应用潜力. 针对目前激基复合物受体材料的种类仍较为匮乏, 器件性能仍需改善等问题, 本工作设计合成出新型基于9-苯基芴的电子受体材料(TCNDPFCz)用于构筑激基复合物发光器件. 实验表明, 受体分子TCNDPFCz与给体分子1,1-bis[(di-4-tolylamino)phenyl]cyclohexane (TAPC)掺杂后(TAPC: TCNDPFCz)呈现明显的激基复合物发光, 其光致发光效率为54%, 电流效率为27.2 cd•A^‒1, 功率效率为32.9 lm•W^‒1, 外量子效率为12.5%. 经分析, 我们推测激基复合物TAPC:TCNDPFCz形成的过程得益于TCNDPFCz具有很强的吸电子能力. 本工作表明9-苯基芴可以作为骨架单元来构筑受体分子, 为开发新型电子受体材料提供了新策略.     

甲基修饰的咔唑/二苯砜基AIE-TADF蓝光材料及其OLED器件

以四甲基咔唑为电子给体(D)、 二苯砜为电子受体(A)构建了具有D-A-D结构的纯有机咔唑/二苯砜衍生物——9,9'-[磺酰基双(3,1-亚苯基)]双(1,3,6,8-四甲基-9H-咔唑)(TMe-mSOCz). 对所合成材料的光物理性能研究表明, TMe-mSOCz表现出明显的聚集诱导发射(AIE)和热激活延迟荧光(TADF), 延迟寿命和延迟荧光占比分别为2.26 μs和47.7%, 并具有良好的电化学稳定性和热稳定性. 基于TMe-mSOCz作为非掺杂发光层制备了有机发光二极管(OLED)器件, 其启亮电压(V_on)为3.5 V, 最大外量子效率为5.63%, 国际照明委员会(CIE)坐标为(0.18, 0.26). 在1000 cd/m²亮度下, 非掺杂器件的效率滚降非常小(7.1%), 色彩稳定性较好, 其具有窄的半峰宽(FWHM=72 nm). 研究结果表明, 在传统TADF分子给受体间引入甲基修饰有利于开发具有AIE特性与更高效的D-A-D型TADF分子, 这为基于AIE-TADF分子开发新型OLED器件提供了新途径.     

Laser Induced Lowest Triplet State Properties of Dibenzothiophene in Solution

Laser induced triplet state lifetimes are measured in the presence of air and for oxygen, air, argon saturated, and vacuum degassed solution of dibenzothiophene in solution at room temperature by triplet decay, including the prompt and p-type delayed fluorescence. The results are discussed and compared to those of molecules with the same symmetry.     

Effect of random perturbations on adaptive observation techniques

An observation sensitivity (OS) method to identify targeted observations is implemented in the context of four‐dimensional variational (4D‐Var) data assimilation. This methodology is compared with the well‐established adjoint sensitivity (AS) method using a nonlinear Burgers equation as a test model. Automatic differentiation software is used to implement the first‐order adjoint model (ADM) to calculate the gradient of the cost function required in the 4D‐Var minimization algorithm and in the AS computations and the second‐order ADM to obtain information on the Hessian matrix of the 4D‐Var cost that is necessary in the OS computations. Numerical results indicate that the observation‐targeting is particularly successful in reducing the forecast error for moderate Reynolds numbers. The potential benefits of the OS targeting approach over the AS are investigated. The effect of random perturbations on the performance of these adaptive observation techniques is also analyzed. Copyright © 2011 John Wiley & Sons, Ltd.     

随机截尾情形下Rayleigh分布参数的最大似然估计

研究了随机截尾情形下Rayleigh分布参数的最大似然估计,研究了最大似然估计的存在唯一性;在很一般的条件下证明了估计的强、弱相合性和渐近正态性.     

Maximum likelihood estimator for hidden Markov models in continuous time

The paper studies large sample asymptotic properties of the Maximum Likelihood Estimator (MLE) for the parameter of a continuous time Markov chain, observed in white noise. Using the method of weak convergence of likelihoods due to Ibragimov and Khasminskii (Statistical estimation, vol 16 of Applications of mathematics. Springer-Verlag, New York), consistency, asymptotic normality and convergence of moments are established for MLE under certain strong ergodicity assumptions on the chain. This article has been written during the author’s visit at Laboratoire de Statistique et Processus, Universite du Maine, France, supported by the Chateaubriand fellowship.