关于Neuman-Sándor平均的一些特殊组合不等式

研究了Neuman-Sándor平均NS(a,b)关于调和平均H(a,b)、算术平均A(a,b)、二次平均Q(a,b)若干特殊组合的序关系,给出最佳参数α₁,α₂,α₃,α₁₄,β₁,β₂,β₃,β₄∈(0,1),使得下列双向不等式：$\sqrt{a_{1}Q^{2}(a,b)+(1-a_{1})A^{2}(a,b)}< NS(a,b)<\sqrt{\beta_{1}Q^{2}(a,b)+(1-\beta_{1})A^{2}(a,b),}\\ \sqrt{[a_{2}Q(a,b)+(1-a_{2})A(a,b)]A(a,b)}< NS(a,b)<\sqrt{[\beta_{2}Q(a,b)+(1-\beta_{2})A(a,b)]A(a,b),}\\ \sqrt{a_{e}Q^{2}(a,b)+(1-a_{3})H^{2}(a,b)}< NS(a,b)<\sqrt{\beta_{3}Q^{2}(a,b)+(1-\beta_{3})H^{2}(a,b),}\\ \sqrt{[a_{4}Q(a,b)+(1-a_{4})H(a,b)]A(a,b)}< NS(a,b)<\sqrt{[\beta_{4}Q(a,b)+(1-\beta_{4})H(a,b)]A(a,b),}$对所有不同的正实数a和b均成立。     

2x2中继混合射频/自由空间光航空通信系统性能分析

基于解码转发中继方式,研究了2×2中继条件下混合射频/自由空间光(RF/FSO)航空通信系统的性能。建立了2×2中继混合RF/FSO通信系统模型,利用Meijer’s G函数推导出该系统信噪比的概率分布函数及累积分布函数,并推导了该系统平均误码率(BER)和中断概率的闭合表达式。仿真分析了大气湍流强度、孔径尺寸和调制方式对平均BER和中断概率的影响。结果表明,孔径平均效应可有效改善混合RF/FSO航空通信系统的性能,2×2中继通信系统性能明显优于1×1中继通信系统。     

热声斯特林发电系统的实验研究

本文介绍了一台由热声斯特林发动机及其驱动的直线发电机组成的热声斯特林发电系统原理样机.一方面为满足发电机与发动机间体积流率和相位的匹配要求,另一方面为了能在直线发电机活塞处获得较好的压力波与体积流率间相位关系、提高直线发电机的电功输出能力,装置保留了发动机原有的锥形谐振管.初步实验以氦气为工质,在2.5MPa平均压力、64Hz工作频率下,获得了97W的电功.本文还分析了该热声发电系统的效率,得出直线发电机声电转换效率超过了0.8.然而由于谐振管耗散了大量的声功,目前整机的热电转换效率还较低.     

非定常叶顶间隙泄漏流动和换热的数值研究

通过数值方法研究了带叶顶间隙的某一级半透平中的非定常流动和换热问题.数值模拟采用标准k-ω两方程湍流模型,求解非定常雷诺平均N-S方程.动叶顶部间隙取为0.4 mm.分析了动静干涉对动叶顶部间隙内泄漏流动与换热的影响.结果表明,周期性通过的上游静叶尾迹和通道涡足动叶通道中非定常现象的主要来源.流场的波动主要存在于叶顶吸力面侧中间弦长附近.叶顶换热系数波动主要存在于两个位置,一是叶顶吸力面侧,一是叶顶主泄漏通道.叶顶表面面积平均传热系数非定常计算的时均结果与定常计算获得的结果偏差小于2%.     

Generalized Uncertainty Principle and Thermodynamic Quantities of SAdS5 Black Hole

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein- Hawking black hole entropy. The different correction leading terms are obtained by the different methods. In this paper, we calculate the correction to SAdS5 black hole thermodynamic quantity due to the generalized uncertainty principle. Furthermore we derive that the black hole entropy obeys Bekenstein Hawking area theorem. The entropy has infinite correction terms. And every term is finite and calculable. The corrected Cardy-Vedinde formula is derived. In our calculation, Bekenstein Hawking area theorem still holds after considering the generalized uncertainty principle. We have not introduced any hypothesis. The calculation is simple. Physics meaning is clear. We note that our results are quite general. It is not only valid for four-dimensional spacetime but also for higher-dimensional SAdS spacetime.     

由平均曲率和外力场之差支配的超曲面的发展

考虑由平均曲率和外力场之差支配的超曲面的发展运动. 证明了如果初始曲面的平均曲率大于某一个仅依赖于外力场导数的常数, 则这样的流将在有限时间爆破. 对于线性外力, 可以证明在运动过程中超曲面的凸性是保持的, 并且如果初始曲率小于某一与外力场有关的常数, 则流将光滑的存在于任意有限时间, 且曲面将扩张到无穷.     

原子核单粒子共振态的研究进展

共振是自然界普遍存在的有趣现象。在核物理领域,存在许多奇特现象,共振在其中扮演着重要角色。介绍了近期发展的RMF-CSM、RMF-CGF和RMF-CMR方法及其对原子核单粒子共振态的研究。给出了120Sn,31Ne等核的单粒子共振态的能量和宽度及其随质量数、形变的变化规律,分析了19C,31Ne和39Mg等核的晕形成的物理机制和在N=20附近能级反转的原因。特别是新发展的RMF-CMR方法,在描述稳定核和奇特核方面都取得了成功,支持Zr同位素存在巨晕的预言。Resonance is an interesting phenomenon in nature. In nuclear physics, resonance plays an important role in the formation of many exotic phenomena. This paper introduces the recently developed RMF-CSM, RMFCGF, and RMF-CMR methods and their researches on nuclear single-particle resonances. The energies and widths of the single-particle resonant states in 120Sn and 31Ne and their evolution to mass number and deformation are given. In addition, the physical mechanism of the halo formation in 19C, 31Ne and 39Mg and the cause of energy level inversion near N=20 are analyzed. In particular, the newly developed RMF-CMR approach has been successful in describing stable and exotic nuclei and supports the prediction that Zr isotopes exist in a giant halo.     

基于相对论平均场有效对力的中子物质BCS-BEC渡越

基于核物质的相对论Hartree-Bogoliubov（RHB）理论,采用相对论平均场单玻色子交换形式的有效对相互作用,研究了不同对力强度下双中子关联及其中的BCS-BEC渡越现象。通过引入有效衰减因子χ调节对力强度,定量分析费米面处中子对能隙和单粒子动能比值△_Fn/e_Fn及无量纲参数1/（k_Fna）随费米动量k_Fn的演化行为,发现双中子对在χ=0.51时进入BCS-BEC渡越区域,在χ=0.67时可达到幺正极限。进而分析了中子对能隙、中子对波函数及相干长度等物理量在相应临界点处的特征,并给出渡越时双中子短程关联概率的定量判据。发现当配对中子处于平均中子间距以内的概率P（d_n）?0.80时,双中子对从纯BCS耦合过渡到BCS-BEC渡越区域。Based on the relativistic Hartree-Bogoliubov theory in nuclear matter, the dineutron correlations and the crossover from Bardeen-Cooper-Schrieffer (BCS) region of neutron Cooper pairs to Bose-Einstein condensation (BEC) are investigated with the one-boson-exchange type of pairing force generated from the relativistic mean field (RMF) model. By introducing an effective factor χ in the RMF effective pairing interaction, the density dependence of the ratios between neutron pairing gap at Fermi surface and neutron Fermi kinetic energy △_Fn/e_Fn and the dimensionless parameter 1/(k_Fna) are analyzed quantitatively. Then the criteria where dineutron correlations exactly reach the threshold of BCS-BEC crossover or unitary limit are determined to be χ=0.51 or 0.67, respectively. In addition, features of neutron pairing gap, Cooper pair wave function and dineutron coherence length are illustrated, and the value of the probability for partner neutrons correlated within the average inter-neutron distance, namely P (d_n) ?0.80, is obtained as a criterion of BCS-BEC crossover.     

相对论平均场理论对∧,Ξ和∑超核的研究(英文)

基于相对论平均场理论,系统地研究了单∧,Ξ和∑超核,超子-核子相互作用通过拟合实验数据以及参照之前理论工作来确定。以16O为核芯,通过加入不同类型超子（∧,Ξ0,-和∑+,0,-）,比较了超子的平均势场和单粒子能级,并研究了对核芯的杂质效应。整体上看,∧和Ξ0超子在大块性质上类似;Ξ0超子平均势场最浅;库仑相互作用对于带电超子Ξ-,∑+和∑-非常重要。作为杂质,原子核中加入超子会使整个体系更束缚。然而,不同超子对原子核的半径有不同效应。此外,讨论了ωYY张量耦合,发现其对超子的能级劈裂有显著影响,甚至导致Ξ超子中出现能级反转现象。Single ∧, Ξ, and ∑ hypernuclei are systematically studied within the framework of relativistic mean-field (RMF) model with YN interactions being constrained according to the experimental data and previous theoretical efforts. By adding a hyperon to 16O, the mean-field potentials and single-particle levels for hyperons (∧, Ξ0,-, and ∑+,0,-) are compared and the impurity effects on the nuclear core are examined. In general, the ∧ and ∑0 hyperons show similar behaviors in bulk properties since both of them are electroneutral and with similar coupling constants; Ξ0 hyperon owns the shallowest mean-field potential well; and Coulomb interactions play vital roles in the charged Ξ-, ∑-, and ∑+ hyperons. As an impurity, the intruded single-hyperon makes the nuclear system more bound in most cases due to the attractive NY interaction. However, very different effects on the nucleon radii are observed for different hyperons. Besides, the effects of the ωYY tensor couplings on the spin-orbit splitting are discussed, and remarkable influences are found which even change the level ordering of Ξ hyperon.     

基于近红外光谱实现心输出量无创检测的色素谱分析方法

针对当前临床上心输出量参数检测技术存在的有创伤、操作复杂和患者易受感染而死亡的问题,研究了一种基于近红外光谱原理,动态测量和分析作为指示剂的吲哚氰绿色素在患者动脉血液中的浓度变化情况,从而根据其特征参数实现心输出量连续测量的无创检测方法。将吲哚氰绿色素经肘静脉注入患者体内后,光电脉搏色素谱测量装置作为下位机,连续、同步采集和记录其指端处的805和940 nm两个特征波长点的脉搏波信号,并将数据上传至上位计算机,由后者绘制色素稀释和排泄的浓度衰减曲线,以及计算平均循环时间等关键参数,最后推导出心输出量的数值。将该方法与作为“金标准”的热稀释法的测量结果相比较,其最大相对误差为9.76%,而平均相对误差为4.39%。该试验结果表明,所提出的方法为临床上的心输出量检测,提供了一种操作简便、无创和连续测量的解决方案。