Gaussian,non-Gaussian critical fluctuations in the Curie-Weiss model

It is known that at the critical temperature the Curie-Weiss mean-field model has non-Gaussian fluctuations and that internal fluctuations can be Gaussian. Here we compute the distribution of theq-mode magnetization fluctuations as a function of the temperature, the wave vectorq, and a fading out external field. We obtain new classes of probability distributions generated by this external field as well as new critical behavior in terms of its rate of fading out. We discuss also the susceptibility as the limitq tending to zero.     

微通道板BeO防离子反馈膜粒子阻透率的模拟研究

带有防离子反馈膜的微通道板是第三代微光像增强器件中的核心部件。文章阐述了防离子反馈膜的电子透过、离子阻止特性,利用Monte-Carlo模拟方法计算了氧化铍和三氧化二铝防离子反馈膜电子透过率和离子阻止率在不同条件下的变化曲线。模拟结果表明,氧化铍薄膜比三氧化二铝薄膜的电子透过特性好,而三氧化二铝薄膜比氧化铍薄膜的离子阻止本领好,证实了氧化铍作为防离子反馈膜的可行性。     

不同鉴别阈值条件下SiPM光子计数激光雷达探测模型及性能分析

硅光电倍增管（Silicon Photomultiplier, SiPM）具有极高的探测灵敏度和响应速度,且在多光子条件下具有较高的动态范围以及线性响应的特性,在光子计数激光雷达应用中有独特的优势。然而,由于SiPM多像元、单时间通道的工作模式,其输出电压信号相较于其他单光子探测器更大概率出现脉冲堆叠现象,不同鉴别阈值条件下的SiPM探测过程更为复杂。针对该问题,本文建立了SiPM光子事件响应模型,以此为基础分析了由脉冲堆叠引发的屏蔽效应和触发效应两种特殊情况的时域分布,最终建立了SiPM半解析的探测概率与虚警概率模型。同时,搭建了基于SiPM探测器的光子计数雷达系统,通过观察实测输出电压波形以及光子点云分布与理论模型相符（R²>0.95）。通过查全率与查准率对不同鉴别阈值的SiPM光子点云分布进行定量评价,并给出最优鉴别阈值区间,这对基于SiPM的光子计数激光雷达系统硬件参数的优化设计以及探测性能的定量分析具有重要的指导意义。     

Performance of orthogonal frequency division multiplexing based M-ary quadrature amplitude modulation in asymmetrical dual-hop mixed RF-FSO transmission system

This paper investigates the performance of a dual-hop mixed relay system with radio frequency (RF) and free-space optics (FSO) communication under the effect of pointing error (PE) and atmospheric turbulence (AT). This paper considers a system where RF and FSO links are cascaded. The RF link is modeled by Nakagami-m fading, and the FSO link is modeled as gamma–gamma (G-G) fading channel. Both the channel models use orthogonal frequency division multiplexing (OFDM) with M-ary quadrature amplitude modulation (QAM). The expressions for probability density function, cumulative distribution function, signal-to-noise ratio, and ergodic capacity are derived. The moment generating function (MGF) of fading and the bit error rate (BER) of the OFDM-based M-ary QAM scheme is derived in terms of Meijer's G-function. It has been observed that, in fixed gain relay systems, the modulation scheme's BER is dominated by the SNR of the RF link. While in a variable gain relay system, the turbulence conditions of the FSO system affect the SNR and the BER of the modulation method. The feasibility of heterodyne detection and intensity modulation direct detection (IM/DD) is analyzed in terms of outage probability and ergodic capacity. The results can be used to choose the optimal modulation order and relay system for QAM-OFDM-based optical wireless systems.     

快速扫描机载气象雷达多普勒解模糊算法

本文针对机载气象雷达前视快速扫描下的多普勒模糊问题,提出了两种多普勒解模糊算法：基于改进方位向波束形成算法和基于阻塞矩阵算法。基于改进方位向波束形成算法在传统的Capon波束形成的基础上,利用空间谱积分的方法对非期望信号协方差矩阵进行重构和对导向矢量进行估计,进一步提高了算法的鲁棒性,降低方位角估计误差;基于阻塞矩阵算法需要估计导向矢量,并利用导向矢量计算阻塞矩阵,将接收信号进行多普勒模糊相消预处理,阻塞每个多普勒频点的模糊多普勒分量,以达到解模糊的目的。通过仿真实验证明,两种方法均可以有效地恢复信号的多普勒信息,其中基于阻塞矩阵算法与基于改进方位向波束形成算法相比,有更优良的性能,并有更小的运算量。     

Survival probability in one dimension for theA+B→B reaction with hard-core repulsion

We study the effect of hard-core repulsion (known as the bus effect) betweenB particles on the reaction-diffusion systemA+BB in the continuous-time random walk model in one dimension with theA particles stationary. We show rigorously that the survival probability of theA particles is asymptotically bounded asC ₁lim _t{[–logS(t)]/t ^0.5}C ₂, whereC ₁ andC ₂ are constants. We also do simulations to confirm our results.     

Some analytical semigroups occurring in probability theory

One-parameter semigroups occurring in operator-limit distributions are investigated. The topological-algebraic background of the relevant monoids is discussed and Lie semigroup theory is applied to the Urbanik Decomposability Semigroup.     

The matched queueing network PH/M/c→oPH/PH/1

We consider a matched queueing network PH/M/coPH/PH/1, where the output of the first subsystem PH/M/c is regarded as one of the inputs of the second subsystem and matched with another input of PH-renewal process, and they are served by a single server with PH-service-distribution. The stationary state probabilities, the distribution of the virtual waiting times in the two subsystems, and the distribution of the total virtual waiting time are derived.The work was supported by the Max-Planck-Gesellschaft, Germany, and the Chinese Academy ofSciences.     

Sensitivity of sample values to parameter changes

The effect of small changes in parameter values on the sample values is investigated further. The concept of linearity with respect to parameters is introduced, and the linear and the nonlinear cases are treated separately. The relation with the sample-path analysis is discussed.     

共线散射体系A+BC的平-振能量传递──无限维李代数处理方法

利用无限维李代数方法处理了在BC分子能谱中含有二级与三级非简谐项的散射体系A＋BC的平-振能量传递问题，获得了散射过程的含有主要动力学参量的跃迁矩阵元和跃迁几率的解析表达式