Fragile black holes

The AdS/CFT correspondence may give a new way of understanding field theories in extreme conditions, as in the quark–gluon plasma phase of quark matter. The correspondence normally involves asymptotically AdS black holes with dual field theories which are defined on locally flat boundary spacetimes; the implicit assumption is that the distortions of spacetime which occur under extreme conditions do not affect the field theory in any unexpected way. However, AdS black holes are [to varying degrees] fragile, in the sense that they become unstable to stringy effects when their event horizons are sufficiently distorted. This implies that field theories on curved backgrounds may likewise be unstable in a suitable sense. We investigate this phenomenon, focussing on the “fragility” of AdS₅ black holes with flat event horizons. We find that, when they are distorted, these black holes are always unstable in string theory. This may have consequences for the detailed structure of the quark matter phase diagram at extreme values of the spacetime curvature.     

X射线散射法测量超光滑平面

介绍了掠入射X射线散射法(GXRS法)测量超光滑表面的原理及基于商业用X射线衍射仪改造而成的实验装置。以3片不同粗糙度的硅片作为实验样品,分别应用一级矢量微扰理论和改进的Harvey-Shack理论对其散射分布进行处理,所得结果与原子力显微镜测量结果基本相符。分析了探测器接收狭缝的宽度和入射光发散度对实验结果的影响,随着探测器接收狭缝宽度和入射光发散度的减小,测量误差呈指数迅速减小。在所测量的空间频率范围内,功率谱密度（PSD）函数的误差随频率的增加而减小。     

核力研究新进展及前沿问题

首先简述核子-核子(NN)相互作用研究的历史发展。然后着重讨论近1/4世纪以来,核力的介子交换模型和各种夸克模型取得的新成就。同时介绍一些所谓高精度现实NN势,从这些"高精度NN势"出发可以计算的核少体系统己超过A=12。特别指出了近十余年来人们以相当大的努力在有效场论框架下建立核物理与QCD的联系。沿此方向的工作也取得骄人成果:己可由手征微扰论推导出满意的模型无关NN势。利用低能到中高能核子探针,人们今天对核子-核子相互作用已了解到什么程度?还有哪些需要研究的问题。尝试回答这些问题是本文的目的。     

A New Solution with Torsion in Model of dS Gauge Theory of Gravity

A new static de Sitter solution with torsion in the model of de Sitter gauge theory of gravity is obtained. The torsion only contains O(3)-symmetric tensor part according to irreducible decomposition. Some properties of the new solution are discussed.     

不稳定分布的碳烟消光表征方法及规律分析

碳烟的消光表征方法有很多种,但对于评价不稳定分布的碳烟体系,需要花费较大的代价。基于RDG-FA理论提出了一种相对简便易行的适用于不稳定分布碳烟的消光表征方法,即以碳烟的质量浓度权重的平均质量消光系数来评价碳烟的消光特性。根据理论推导,碳烟的消光系数为平均质量消光系数和总质量浓度之积,而平均质量消光系数表达式中的各项均可通过理论分析、计算和实验方法得到。另外,对平均质量消光系数随碳烟粒径和聚合粒子尺寸的变化规律进行了理论分析,预测随着碳烟粒径和聚合粒子尺寸减小,碳烟的平均质量消光系数先快速减小,然后进入缓变区,慢慢减小。     

基于MIE散射理论的粒度分布测量系统研究

粒度测量广泛应用于粉体工程,测量结果直接影响粉体产品优劣。在深入研究MIE散射理论的基础上,提出一种基于改进反演算法的粒度测量系统设计方案,利用激光器、傅里叶透镜、光电传感器采集含有待测微粒信息的电信号,通过调理电路进行处理,应用改进反演算法分析得出粒度值及分布。通过实验验证,效的本文提出的设计方案能实现准确高粒度测量。     

W波段TE62-TEM00准光模式变换器

对准光模式变换器的基本理论和设计方法进行了讨论.以改进型等效电流理论为基础给出了Vlasov辐射器的分析方法,建立了数值模型,并进行了计算分析.继而推导了自适应相位修正Katsenelenbaum-Semenov算法,编制了相位修正反射镜自适应设计分析程序.在上述理论工作的基础上,针对3 mm波段TE62至TEM00准...     

3,4-二氯-1,2,5-噻二唑的结构及其振动光谱

实验测量了3,4-二氯-1,2,5-噻二唑分子4000～400 cm-1区域内的红外光谱和3700～100 cm-1范围内的拉曼光谱,使用密度泛函理论计算了分子的稳定结构和振动频率.以实验测定频率为标准采用简正振动分析方法得到了各振动谱带的总能量分布,从而对该分子的振动频率做出了全面归属.     

Obtaining certificates for complete synchronisation of coupled oscillators

In this paper, we provide a novel reformulation of sufficient conditions that guarantee global complete synchronisation of coupled identical oscillators to make them computationally implementable. To this end, we use semidefinite programming techniques. For the first time, we can efficiently search for and obtain certificates for synchronisability and, additionally, also optimise associated cost functions. In this paper, a Lyapunov-like function (certificate) is used to certify that all trajectories of a networked system consisting of coupled dynamical systems will eventually converge towards a common one, which implies synchronisation. Moreover, we establish new conditions for complete synchronisation, which are based on the so called Bendixson’s Criterion for higher dimensional systems. This leads to major improvements on the lower bound of the coupling constant that guarantees global complete synchronisation. Importantly, the certificates are obtained by analysing the connection network and the model representing an individual system only. In order to illustrate the strength of our method we apply it to a system of coupled identical Lorenz oscillators and to coupled van der Pol oscillators.