Asymptotic exponential cones of Metzler matrices and their use in the solution of an algebraic problem

The aim of this paper is that of investigating the asymptotic exponential cone of a single Metzler matrix, introduced in [23], and of defining and analysing the new concept of asymptotic exponential cone of a family of Metzler matrices (along a certain direction). These results will provide necessary and/or sufficient conditions for the solvability of an interesting algebraic problem that arises in the context of continuous-time positive switched systems and, specifically, in the investigation of the reachability property [21,22,25].     

煤沥青改质非等温动力学研究

The non-isothermal kinetics for mesophase transformation of Baogang-I coal tar pitch (I-CTP), soft pitch consisted of I-CTP and 18% phenanthrene residue oil (PRO) or I-CTP and 30% PRO have been studied in a thermal conversion unit. Kinetic parameters were calculated by using an integral method. Results showed that the process of mesophase pitch transformation could be described in first order reaction. The activation energy of I-CTP is 175.36kJ/ mol. But adding 30% PRO, which improved the reactivity of I-CTP with activation energy is 138.07kJ/mol, is not beneficial to mesophase transformation.     

Central configurations of the collinear three-body problem and singular surfaces in the mass space

This Letter is to provide a new approach to study the phenomena of degeneracy of the number of the collinear central configurations under geometric equivalence. A direct and simple explicit parametric expression of the singular surface H₃ is constructed in the mass space (m₁,m₂,m₃)∈³(R⁺). The construction of H₃ is from an inverse respective, that is, by specifying positions for the bodies and then determining the masses that are possible to yield a central configuration. It reveals the relationship between the phenomena of degeneracy and the inverse problem of central configurations. We prove that the number of central configurations is decreased to 3!/2−1=2, m₁, m₂, and m₃ are mutually distinct if m∈H₃. Moreover, we know not only the number of central configurations but also what the nonequivalent central configurations are.     

In response to the article by Maxim Kontsevich: Rozansky–Witten Invariants Via Formal Geometry

We show that recently constructed invariants of 3-dimensional manifolds and of hyperkähler manifolds (L. Rozansky and E. witten) come from characteristic classes of foliations and from Gelfand-fuks cohomology.     

离子液体溶胀对煤直接液化残渣结构及热解性能的影响

采用四种相同阴离子不同有机链长阳离子的离子液体([EMIM][MeSO_4]、[BMIM][MeSO_4]、[HMIM][MeSO_4]和[OMIM][MeSO_4])对煤直接液化残渣(DCLR)进行溶胀处理,通过SEM、FT-IR和TG-DTG表征,分析了各离子液体溶胀对煤直接液化残渣溶胀效果、表面形貌、官能团分布、主体结构和热解性能的影响。溶胀结果表明,不同链长离子液体对煤直接液化残渣具有不同的溶胀效果,[HMIM][MeSO_4]对残渣溶胀效果最好,其溶胀度高达1.78。FT-IR表明,不同链长离子液体会不同程度地破坏煤中C-H键,使得脂肪族和芳香族类化合物的相对含量有所差异。由TG-DTG可知,不同链长离子液体溶胀对残渣热解性能的影响具有较大差异,其中,以离子液体[OMIM][MeSO_4]溶胀对残渣的热解最为有利,失重率高达47.5%;而离子液体[BMIM][MeSO_4]溶胀在一定程度上抑制了残渣的热解,其失重率低于未经溶胀处理的残渣。基于Coats-Redfern法的热解动力学分析表明,煤直接液化残渣及其溶胀残渣在低温段(180-480℃)的热解过程均符合二级反应动力学,高温段(480-825℃)均以三级和四级反应动力学为宜。另外,不同链长离子液体溶胀处理明显改变了残渣的热解活化能,其链越长残渣的热解活化能越高。     

Residue Coulomb Interaction Among Isobars and Its Influence in Symmetry Energy of Neutron-Rich Fragment

The residue Coulomb interaction (RCI), which affects the result of symmetry-energy coefficient of neutron-rich nucleus in isobaric yield ratio (IYR) method, is difficult to be determined. Four RCI approximations are investigated: (i) The M1-RCI adopting the a_c/T (the ratio of Coulomb energy coefficient to temperature) determined from the IYR of mirror-nucleus fragments; (ii) The M2-RCI by fitting the difference between IYRs; (iii) The M3-RCI adopting the standard Coulomb energy at a temperature T=2 MeV; and (iv) Neglecting the RCI among isobars. The M1-, M2- and M3-RCI are no larger than 0.4. In particular, the M2-RCI is very close to zero. The effects of RCI in a_sym/T of fragment are also studied. The M1- and M4-a_sym/T are found to be the lower and upper limitations of a_sym/T, respectively. The M2-a_sym/T overlaps the M4-a_sym/T, which indicates that the M2-RCI is negligible in the IYR method, and the RCI among the three isobars can be neglected. The relative consistent low values of M3-a_sym/T (7.5±2.5) are found in very neutron-rich isobars.     

有机磷农药残留的快速定量检测方法研究

传统的农药残留检测为理化检验方法,具有前处理过程繁琐、耗时、复杂等不足,以目前农业上使用较广的毒死蜱作为研究对象,提出了一种有机磷农药残留快速定量检测方法。首先,根据毒死蜱的化学特性,综合考虑比色剂的显色效果以及二次污染问题,确定在弱碱性环境下以间苯二酚对毒死蜱进行显色反应的预处理方案;然后,通过分析0.5 ～400 mg·kg-1之间毒死蜱样品的紫外-可见光光谱数据,确定了显色反应后的特征信息主要集中在365～420 nm之间。接着,以偏最小二乘法构建全谱预测模型,其校正相关系数达到0.999 6,预测相关系数达到0.995 6,校正标准差RMSEC为2.814 7 mg·kg-1,验证标准差RMSEP为8.012 4 mg·kg-1;提取400 nm为中心波段的特征区域构建预测模型,其校正相关系数达到0.999 6,预测相关系数达到0.999 3,校正标准差RMSEC为2. 654 6 mg·kg-1,验证标准差RMSEP为3.465 5 mg·kg-1。最后,通过分析0.5～16 mg·kg-1之间毒死蜱样品的近红外光谱数据,发现其显色功能团的特征不是很明显,但会引起间苯二酚本身5 200 cm-1处吸收峰的变化。实验结果证明了所提出用于快速定量预测有机磷农药残留的方法是有效可行的,该方法通过比色剂的显色加强有机磷农药在全光谱特别是紫外-可见光范围内的信息,为实现农产品农药残留的快速检测提供了一条新途经。     

Lower-Dimensional Volumes and Kastler-Kalau-Walze Type Theorem for Manifolds with Boundary

In this paper, we define lower-dimensional volumes of spin manifolds with boundary. We compute the lower-dimensional volume Vol^(2,2) for 5-dimensional and 6-dimensional spin manifolds with boundary and we also get the Kastler-Kalau-Walze type theorem in this case.     

卡拉胶纤维的阻燃性能

以钡盐为凝固浴, 经湿法纺丝技术获得卡拉胶纤维(CAF). 通过极限氧指数(LOI)、 锥型量热(Cone)、 扫描电子显微镜(SEM)、 元素分析(EDS)、 X射线衍射(XRD)、 热重红外(TG-FTIR)同步差示扫描量热(DSC)法、 热裂解(Py)和气相色谱-质谱法(GC-MS)对CAF进行表征. 结果表明, CAF极限氧指数高达50以上, 锥型量热过程中, CAF一直保持红热状态, 没有产生火苗, 其热释放速率及总释放热等参数均较低, 与海藻酸钙纤维(ALF)和琼胶纤维(AGF)相比, CAF具有较好的阻燃性. 可能机理为卡拉胶分子的硫酸酯基和渗入纤维内部的钡离子发生络合作用, 并促进交联成炭和改变纤维裂解过程. 裂解过程中产生的磺酰自由基与燃烧产生的氢氧自由基迅速结合, 终止燃烧反应. 同时, CAF在燃烧过程中产生大量残炭, 并形成致密的钡盐结构层和中空的纤维结构, 成为CAF阻燃的另一重要因素.