Probabilistic models for stochastic elliptic partial differential equations

Mathematical requirements that the random coefficients of stochastic elliptical partial differential equations must satisfy such that they have unique solutions have been studied extensively. Yet, additional constraints that these coefficients must satisfy to provide realistic representations for physical quantities, referred to as physical requirements, have not been examined systematically.     

An explanation for deviations from the quark number scaling of elliptic flows in low pT region

We carry out a systematic study of the different contributions to the deviations of the elliptic flows from the quark number scaling in high energy heavy ion collision in a quark combination model.The effects that we considered are:the resonance decay,the flavor dependence of the quark elliptic flow and the combination of quarks/antiquarks with slightly different transverse momenta.Our results show that the deviations observed in experiments can be well reproduced within the combination framework if all the three effects are considered. We make a detailed analysis of the different contributions using a Monte-Carlo program and suggest measuring the quark number scaling in intermediate pT range more precisely.     

导出圆电流的磁感应强度的简便方法

避开繁琐的椭圆积分推导,用微积分导出了圆电流在空间各点的磁感应强度的定积分公式,再变换成用椭圆积分表示的精确解.     

Heavy quarks at RHIC and LHC within a partonic transport model

Production and space-time evolution of heavy quarks in central and non-central heavy-ion collisions at RHIC and LHC are studied with the partonic transport model Boltzmann Approach of MultiParton Scatterings (BAMPS). In addition to the initially created heavy quarks in hard parton scatterings during nucleon-nucleon collisions, secondary heavy quark production in the quark-gluon plasma is investigated and the sensitivity on various parameters is estimated. In BAMPS heavy quarks scatter with particles of the medium via elastic collisions, whose cross section is calculated with the running coupling and a more precise implementation of Debye screening. In this framework, we compute the elliptic flow and nuclear modification factor of heavy quarks and compare it to the experimental data.     

Numerical solution of an extended White–Metzner model for eccentric Taylor–Couette flow

In this study, we have developed a new numerical approach to solve differential-type viscoelastic fluid models for a commonly used benchmark problem, namely, the steady Taylor—Couette flow between eccentric cylinders. The proposed numerical approach is special in that the nonlinear system of discretized algebraic flow equations is solved iteratively using a Newton–Krylov method along with an inverse-based incomplete lower-upper preconditioner. The numerical approach has been validated by solving the benchmark problem for the upper-convected Maxwell model at a large Deborah number. Excellent agreement with the numerical data reported in the literature has been found. In addition, a parameter study was performed for an extended White–Metzner model. A large eccentricity ratio was chosen for the cylinder system in order to allow flow recirculation to occur. We detected several interesting phenomena caused by the large eccentricity ratio of the cylinder system and by the viscoelastic nature of the fluid. Encouraged by the results of this study, we intend to investigate other polymeric fluids having a more complex microstructure in an eccentric annular flow field.     

基于显微拉曼光谱的稀酸预处理马尾松细胞壁解构机理研究

稀酸预处理可打破木质纤维原料天然抗降解屏障,提高后续酶解和发酵效率,从而使其更高效地转化为生物燃料,然而在亚细胞水平上纤维细胞壁的解构机理仍有待深入研究。采用共聚焦显微拉曼光谱技术与主成分聚类分析法结合,研究了稀酸预处理前后马尾松细胞壁区域化学变化特点。结果表明,累计贡献率高达94.61%的第一与第二主成分空间中光谱样本散点呈现规律性分布;聚类分析可准确提取细胞壁不同形态区域平均拉曼光谱。结合拉曼成像分析发现,细胞角隅木质化程度高,含有较多木质素,次生壁木质化程度低,含有较多碳水化合物。稀酸预处理导致马尾松细胞壁发生了不均一解构,其致密空间结构被破坏,次生壁中碳水化合物典型特征峰2 890 cm-1处信号强度降低了26.9%,表明碳水化合物从该区域大量脱除;碳水化合物在复合胞间层少量脱除,而细胞角隅则出现了其轻微富集。木素在稀酸预处理后发生了重新分布,细胞角隅区拉曼信号显著增强。碳水化合物(主要为半纤维素)的溶出及木质素的重新分布削弱了生物质原料的抗降解性,有利于后续酶解糖化。该研究不仅提供了一种快速、高效的纤维细胞壁区域化学分析方法,还为林木生物质高值转化的研究奠定了重要的理论基础。     

Discrete symmetry groups of vertex models in statistical mechanics

We analyze discrete symmetry groups of vertex models in lattice statistical mechanics represented as groups of birational transformations. They can be seen as generated by involutions corresponding respectively to two kinds of transformations onq×q matrices: the inversion of theq×q matrix and an (involutive) permutation of the entries of the matrix. We show that the analysis of the factorizations of the iterations of these transformations is a precious tool in the study of lattice models in statistical mechanics. This approach enables one to analyze two-dimensionalq ⁴-state vertex models as simply as three-dimensional vertex models, or higher-dimensional vertex models. Various examples of birational symmetries of vertex models are analyzed. A particular emphasis is devoted to a three-dimensional vertex model, the 64-state cubic vertex model, which exhibits a polynomial growth of the complexity of the calculations. A subcase of this general model is seen to yield integrable recursion relations. We also concentrate on a specific two-dimensional vertex model to see how the generic exponential growth of the calculations reduces to a polynomial growth when the model becomes Yang-Baxter integrable. It is also underlined that a polynomial growth of the complexity of these iterations can occur even for transformations yielding algebraic surfaces, or higher-dimensional algebraic varieties.     

基于共聚焦显微拉曼的真菌菌丝中几丁质的原位检测研究

几丁质是真菌细胞壁中一种重要的结构多糖,本文首次采用共聚焦显微拉曼技术对山茶刺盘孢菌的气生菌丝进行原位检测研究,首先确定了采集菌丝拉曼光谱的最优实验参数,并获得了菌丝,几丁质标准品和背景三种物质的典型拉曼光谱,对其中的特征峰进行归属分析,发现菌丝光谱中有明显的几丁质特征峰。然后对置于载玻片上菌丝的感兴趣区域进行拉曼光谱面扫描,通过主成分分析法发现面扫描区域中,菌丝和背景两种信号可以明显区分开来,结合主成分的载荷因子图得到了菌丝的两个主要的特征差异峰1 622和1 368 cm-1,1 622 cm-1属于菌丝中几丁质的特征峰,而1 368 cm-1是来源于菌丝中的果胶多糖。最后通过对几丁质在1 622 cm-1特征峰波段附近范围积分,绘制了几丁质在菌丝中二维和三维的化学成像图,直观且无损的再现了几丁质在菌丝中的空间分布。     

共焦扫描显微成象系统的点扩散函数再商讨

针对共焦扫描显微成象中物体相对于被扫描点的位置矢量是反向移动的特性,探讨了物体移动后的物函数在此基础上,根据成象的理论进行了计算,得到新的系统点扩散函数表达式,最后根据计算结果分析成象的性质,得出了系统成象的相干性.     

Anisotropic flow at RHIC

STAR’s measurement of directed flow for pions,kaons(K 0 S ),protons and anti-protons,for Au+Au collisions at 200 GeV obtained in Run7 are presented,as well as elliptic flow for identified particles measured in Au+Au(Run7) and Cu+Cu(Run5) collisions.It is found that the slope of proton v 1 (y) at midrapidity is extremely small.Elliptic flow results are compared to Hydro calculation and the discrepancy is discussed.