The domain of partial attraction of a Poisson law

Groshev gave a characterization of the union of domains of partial attraction of all Poisson laws in 1941. His classical condition is expressed by the underlying distribution function and disguises the role of the mean of the attracting distribution. In the present paper we start out from results of the recent probabilistic approach and derive characterizations for any fixed >0 in terms of the underlying quantile function. The approach identifies the portion of the sample that contributes the limiting Poisson behavior of the sum, delineates the effect of extreme values, and leads to necessary and sufficient conditions all involving . It turns out that the limiting Poisson distributions arise in two qualitatively different ways depending upon whether >1 or <1. A concrete construction, illustrating all the results, also shows that in the boundary case when =1 both possibilities may occur.     

Statistical properties of aggregation with injection

We study a generalized aggregation process in which charged particles diffuse and coalesce randomly on a lattice. For one-dimensional and mean-field models, we show that there exists a statistically-invariant steady state when randomly charged particles are continuously injected. The steady-state charge distribution obeys a power law with the exponent depending both on the type of the injection and on the spatial dimension. The response of the system to a perturbation (i.e., relaxation) is characterized by either a power law decay (t ^– ,1) or a compressed exponential decay [exp(–t ),>1].     

The third law of thermodynamics and the degeneracy of the ground state for lattice systems

The third law of thermodynamics, in the sense that the entropy per unit volume goes to zero as the temperature goes to zero, is investigated within the framework of statistical mechanics for quantum and classical lattice models. We present two main results: (i) For all models the question of whether the third law is satisfied can be decided completely in terms of ground-state degeneracies alone, provided these are computed for all possible boundary conditions. In principle, there is no need to investigate possible entropy contributions from low-lying excited states, (ii) The third law is shown to hold for ferromagnetic models by an analysis of the ground states.Dedicated to Pierre Résibois. Work supported in part by NSF grant PHY-7825390 A01.     

CAES离心压缩机可调扩压器调节规律研究

离心压缩机是压缩空气储能系统中关键设备之一,需具备在较宽流量、压力范围内高负荷高效率运行的能力。作为一种变工况调节技术,可调扩压器可以扩大压缩机工作流量范围,改善气动性能。因此,本文以某压缩空气储能系统用离心压缩机为研究对象,通过数值计算方法研究了可调扩压器调节时压缩机性能变化规律。结果表明采用可调扩压器可以有效拓宽压缩机运行特性,工作流量范围扩大44%,压比范围扩大25%.此后,本文采用Kriging模型获得了压缩机综合性能曲线图和不同储能工况需求下扩压器的调节方案及规律,为压缩空气储能系统离心压缩机变工况主动控制提供了依据。     

线弹性体本构方程对称性的逆命题研究

基于线弹性体本构方程系数矩阵的对称性,提出了其对应的逆命题问题,即若材料本构方程是线性且对称的,能否由此确定物体是完全弹性的?论文通过构造势函数的方法对该问题给出了肯定的回答,从而论证了对于符合线性本构关系的材料,其本构方程的对称性与物体的完全弹性相互蕴含,因而是相互等价的.     

150 fs~10 ps脉宽下熔石英激光损伤的仿真与分析

基于约化电子数密度增长速率方程,建立了熔石英导带电子数密度随脉冲持续时间变化的模型。利用电子数临界密度这一概念,得到了150 fs~10 ps脉宽下,熔石英激光损伤阈值范围。分析表明,5~10 ps,雪崩电离仍然起主要作用,而光致电离提供的初始电子使雪崩电离不再依赖材料原有的初始电子;当脉宽减小到约为4 ps时,光致电离与雪崩电离作用相等;之后,光致电离起主要作用。通过仿真出的损伤阈值拟合,得到了该脉宽区间下新的脉宽定律：熔石英的损伤阈值正比于脉宽的0.38次方;考虑温度对熔石英损伤阈值的影响,熔石英的损伤阈值正比于脉宽的0.34次方。     

一种被动式单波长实时测温系统的优化设计

基于Kirchhoff定律,利用一面反射镜,设计了一种可同时测量发射率及温度的单波长实时测温系统.从系统的测温灵敏度、相对测温灵敏度、探测器的温度分辨力及系统的测温标准差与波长的关系出发,并结合大气对红外辐射的透射特性,优化了系统的工作波长; 从系统的抗反射辐射能力与波长带宽的关系出发,并结合探测器的最小可探测光功率要求,优化了系统的波长带宽.实验结果表明,当λ=0.80 μm、Δλ=20 nm时,在测温范围600~2 500℃内,系统的测温不确定度优于0.3%.     

The Role of Information in Managing Interactions from a Multifractal Perspective

In the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential. The classical dynamics associated with them imply Hubble-type effects, Galilei-type effects, and dependences of interaction constants with multifractal degrees at various scale resolutions, while the insertion of the relativistic amendments in the same dynamics imply multifractal transformations of a generalized Lorentz-type, multifractal metrics invariant to these transformations, and an estimation of the dimension of the multifractal Universe. In such a context, some correspondences with standard cosmologies are analyzed. Since the same types of interactions can also be obtained as harmonics mapping between the usual space and the hyperbolic plane, two measures with uniform and non-uniform temporal flows become functional, temporal measures analogous with Milne’s temporal measures in a more general manner. This work furthers the analysis published recently by our group in “Towards Interactions through Information in a Multifractal Paradigm”.     

大气温度起伏谱的测量

用直径1μm和10μm金属丝分别测量了大气温度起伏功率谱,提出了测量湍流外尺度的方法。实测结果表明：在复杂的光传输路径上至少有50%的温度谱不符合Kolmogorov的－5/3定律;用直径1μm丝进行单点测量的C2n和直径10μm丝进行双点测量的C2n较为一致;80%的外尺度不超过7m。     

激光辐照下高反射镜热变形问题的尺度律

基于热力解耦的热弹性模型,采用常用假设,通过方程分析法,导出了激光辐照下高反射镜热变形问题的尺度律。同时,还发现了对同一模型,当其他条件不变时,变形、温升、应力与激光功率密度之间具有线性关系。数值结果证明了该问题尺度律的成立及线性关系的正确性。该结论是利用缩比模型研究大尺寸反射镜在激光辐照下的热变形问题的依据,且为解决缩比模型设计、辐照条件设计和模型实验数据反推到原型等相关问题提供了参考准则。