Extremality and the global Markov property II: The global markov property for non-FKG maximal Gibbs measures

We give a condition on a Gibbs measure for an attractive Markov specification, which assures extremality and the global Markov property. As an example of application we consider the class of attractive Markov specifications defined on a compact configuration space over a two-dimensional lattice by the interaction Hamiltonians (assumed to have a finite set of periodic ground configurations) satisfying Peierl's condition. We prove that each extremal Gibbs measure for such a specification, at sufficiently low temperature, has the global Markov property.On leave of absence from the Institute of Theoretical Physics, University of Wrocaw, Poland.     

基于伽马模型的中等收入定位与人口度量模型研究

主要运用Gamma分布模型刻画收入分配结构及描述洛伦兹曲线, 较好地反映了社会收入分配的公平程度. 利用随机模拟和最大似然方法求得Gamma分布的参数估计, 同时对收入空间法和人口空间法进行了改进, 并将改进的方法对实际数据进行处理, 得到了针对每组数据的中等收入区间.     

一种跨中带直线段的水平圆弧梁内力计算

介绍一种特殊对称的跨中带直线段的圆弧梁,在4种常用荷载作用下的内力计算方法,导出了一套内力计算公式,可供设计时直接查用.     

Observation of mechanical fracture and corresponding domain structure changes of polycrystalline PbTiO3 nanotubes

PbTiO₃ (PTO) nanotubes (NTs) were synthesized at various temperatures by gas phase reaction between PbO gas and anatase TiO₂ NTs and characterized by piezoresponse force microscopy (PFM). PTO ferroelectric phase was synthesized at as low as 400 °C as evidenced by PFM domain images and piezoresponse hysteresis loop measurement. Furthermore, the PTO NTs fabricated at above 500 °C underwent mechanical fracture through development of nanocracks due to grain growth, leading to ferroelectric domains with larger size and lower aspect ratio. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Selection of response measurement locations to improve inverse force determination

The forces obtained by inverse methods are prone to errors. These arise due to a combination of errors in the measurements and high condition numbers in the matrix of transfer functions to be inverted. Ill-conditioning of the frequency response function matrix causes measurement errors to be magnified significantly. When the condition numbers are small, the measurement errors simply propagate without much amplification. Due to modal behaviour of the structure, the condition numbers can vary significantly over the frequency range and with the spatial location of the response measurements. The spatial variation can be quite considerable across the structure. The potential for using this characteristic to improve force determination is explored in this paper as an alternative to matrix regularization methods. The aim is to reduce error magnification in inverse methods by an ‘optimal’ spatial distribution of response locations. A method is proposed which is based on the minimization of the average condition number across the frequency range. If many possible locations are available, however, this can involve excessive calculation. An approximate method is therefore proposed which results in consistently good location selection for use in inverse force determination but involves much less computational effort. The error reduction in reconstructed forces is found to be significant in numerical simulations on a simply supported plate and in validation experiments.     

协变密度泛函理论中的张量力效应

张量力是核子-核子相互作用的重要成分,被认为是理解奇特原子核中壳结构演化规律的关键要素。然而,目前对于核介质中的张量力及其效应的定量认识,仍存在很多亟待解决的关键问题。着重梳理了在原子核密度泛函理论框架下,研究有效相互作用中的张量力成分以及相应的张量力效应的相关工作,重点包括:基于相对论Hartree-Fock理论,以同位素链中的质子幻数壳演化为例,定量提取与分析其中的张量力效应;以及基于第一性原理的相对论Brueckner-Hartree-Fock理论,以中子滴单粒子能谱中的自旋-轨道劈裂演化为例,提出与张量力效应相关联的"准实验数据"。最后,展望原子核密度泛函理论今后可能的发展策略。Tensor force is one of the most important components of the nucleon-nucleon interaction. It plays a critical role in understanding the shell evolution in exotic nuclei. However, there are still several puzzles concerning the tensor force and its effects in the nuclear medium. In this paper, we mainly focus on the studies of tensor force in the effective interactions and its effects in finite nuclear systems within the scheme of nuclear density functional theory. In particular, we highlight the recent developments, including the quantitative analysis of tensor effects in the relativistic Hartree-Fock theory by taking the evolution of proton magic shells in the isotopic chains as an example, and the "meta-data" of tensor effects provided by the ab initio relativistic Brueckner-Hartree-Fock theory by taking the evolution of spin-orbit splitting in the single-particle spectra of neutron drops as an example. Perspectives are focused on the possible strategies for the future developments of nuclear density functional theory.     

太阳池非对流层最佳厚度及最大效率数值模拟

本文对现有的太阳池辐射透射模型及稳态热效率模型进行了改进,改进的模型既考虑了池水浊度的影响又考虑了池内多重反射的影响,更接近实际情况。在改进的稳态热效率模型基础上,通过数值模拟的方法,对太阳池非对流层最佳厚度及其最大效率的相关影响因素作了较为详细的分析和讨论。认为太阳池非对流层最佳厚度及其最大效率取决于太阳池尺寸和结构、太阳辐射强度、储热层和上对流层的温差、太阳辐射在水中的透射率、池底反射率、水浊度、池水的物理特性以及池深度等综合因素,其中,△T/I0(储热层和上对流层的温差与水面太阳辐射强度的比值)是影响太阳池非对流层最佳厚度的主要因素,这为太阳池高效运行提供了理论指导。     

Quantitative measurement of tip-sample forces by dynamic force spectroscopy in ambient conditions

We introduce a dynamic force spectroscopy technique enabling the quantitative measurement of conservative and dissipative tip-sample forces in ambient conditions. In difference to the commonly detected force-vs-distance curves dynamic force microscopy allows to measure the full range of tip-sample forces without hysteresis effects caused by a jump-to-contact. The approach is based on the specific behavior of a self-driven cantilever (frequency-modulation technique). Experimental applications on different samples (Fischer-sample, silicon wafer) are presented.     

对探究影响摩擦力大小因素实验的分析及改进

对传统的影响滑动摩擦力大小因素的实验进行改进,把物块的运动变换成下面木板的运动,并用定滑轮改变拉力的方向.使用改进后的装置不但可以降低操作的难度,还可提高实验的准确性.     

空间外差干涉光谱仪仪器线型函数测量新方法研究

空间外差干涉光谱技术是近年发展起来的新型静态超分辨光谱分光技术, 仪器线型函数是其基本性能参数之一, 代表了仪器的光谱分辨能力, 需要精确表征。在分析仪器线型函数影响因素(切趾、有效视场角与离轴像元效应)以及测量方法与测量光源等特殊性要求基础上, 提出了一种可调波长单色面光源的全新测量方法, 并利用可调谐激光器与消散斑积分球等设备搭建了测量实验装置。在仪器线型函数测量实验中, 通过选取光谱范围内的典型谱段进行高光谱(0.1 nm步长)扫描, 经过干涉数据误差修正、光谱复原以及坐标归一化等数据处理过程, 获取了仪器线型函数的能量分布形式。此外, 利用全光谱范围内扫描的干涉数据, 得到仪器线型函数的全峰半宽随波长的变化规律曲线。最后, 将本方法获取的实测仪器线型函数与模拟光谱(LBL计算)进行卷积获取理论谱, 并与地基探测实验获取的实测大气CO2吸收光谱进行比对分析, 两者吻合一致, 验证了本方法获取的仪器线型函数具有较高的精度。