Harnack inequalities for SDEs driven by subordinate Brownian motions

By using regularization approximations of the underlying subordinator and a gradient estimate approach, the dimension-independent Harnack inequalities are established for the inhomogeneous semigroup associated with a class of SDEs with Lévy noise containing a subordinate Brownian motion. Our estimates in Harnack type inequalities improve the corresponding ones in the recent paper by Wang and Wang (2014) [10].     

I型和II型结构气体水合物的记忆效应

利用水合物二次生成实验装置, 采用“定容法”对I型(甲烷、二氧化碳)和II型(丙烷)结构气体水合物的二次生成进行了实验, 研究了不同结构水合物(I型、II型)彼此间的记忆效应, 发现水合物生成过程存在明显的诱导期, I型结构水合物间在二次生成过程中存在着记忆效应. I型与II型结构水合物之间在相互二次生成过程中存在着显著的记忆效应.     

Effects of carbon contents on morphology and electrical properties of Li2MnSiO4/C prepared by a vacuum solid-state method

To improve the electrochemical performance of Li₂MnSiO₄ with low electric conductivity, the Li₂MnSiO₄/C composite are synthesized by a vacuum solid-state reaction of a mixture of SiO₂, LiCH₃COO, Mn(CH₃COO)₂ and designed mass of C₆H₁₂O₆ · H₂O as carbon sources. The crystalline structure and morphology of products are analyzed by X-ray diffraction (XRD), scanning electron microscopy (SEM) and laser scattering technology (LS) respectively. The tested results show that carbon doping decrease the crystallite sizes of products, but keep the aggregation of the particles and made the impurity increased instead. The results of constant current charge-discharge prove that the mixed carbon improve Li⁺ transmission performance and decrease inner polatization resistance of Li₂MnSiO₄ materials, but can not prevent the collapse of Li₂MnSiO₄ crystal structure. While the galvanostatic intermittent titration technique (GITT) results demonstrate that the primary reason for the improved electrochemical performance can be attributed to increased Li-ion diffusion coefficient $(D_{Li^ + } )$ as a result from carbon doping.     

Segregation of alloying atoms at a tilt symmetric grain boundary in tungsten and their strengthening and embrittling effects

We investigate the segregation behavior of alloying atoms （Sr, Th, In, Cd, Ag, Sc, Au, Zn, Cu, Mn, Cr, and Ti） near Z3 （ 111 ） [1]-0] tilt symmetric grain boundary （GB） in tungsten and their effects on the intergranular embrittlement by performing first-principles calculations. The calculated segregation energies suggest that Ag, Au, Cd, In, Sc, Sr, Th, and Ti prefer to occupy the site in the mirror plane of the GB, while Cu, Cr, Mn, and Zn intend to locate at the first layer nearby the GB core. The calculated strengthening energies predict Sr, Th, In, Cd, Ag, Sc, Au, Ti, and Zn act as embrittlers while Cu, Cr, and Mn act as cohesion enhancers. The correlation of the alloying atom＇s metal radius with strengthening energy is strong enough to predict the strengthening and embrittling behavior of alloying atoms; that is, the alloying atom with larger metal radius than W acts as an embrittler and the one with smaller metal radius acts as a cohesion enhancer.     

Universal Scaling Law for Atomic Diffusion and Viscosity in Liquid Metals

The recently proposed scaling law relating the diffusion coefficient and the excess entropy of liquid [Samanta A et al. 2004 Phys. Reu. Lett. 92 145901; Dzugutov M 1996 Nature 381 137], and a quasi-universal relationship between the transport coefficients and excess entropy of dense fluids [Rosenfeld Y 1977 Phys. Rev. A 15 2545],are tested for diverse liquid metals using molecular dynamics simulations. Interatomic potentials derived from the glue potential and second-moment approximation of tight-binding scheme are used to study liquid metals.Our simulation results give sound support to the above-mentioned universal scaling laws. Following Dzugutov,we have also reached a new universal scaling relationship between the viscosity coefficient and excess entropy.The simulation results suggest that the reduced transport coefficients can be expressed approximately in terms of the corresponding packing density.     

复合半导体负载金属材料光催化性能研究

CO₂和烃类光催化直接合成烃类氧化物在合成化学、碳资源利用和环境保护等方面均有重大意义。用溶胶-凝胶和浸渍-还原相结合的方法制得M/V₂O₅-TiO₂(M=Pd、Cu、Ni和Ag)光催化剂。利用XRD、TPR、IR、TPD、UV-Vis DRS和光反应器等技术研究了负载金属复合半导体的物相结构、吸附性能、光吸收性能和光催化反应性能。结果表明：金属负载在复合半导体上延迟了TiO₂由锐钛矿向金红石相的转化,增强了V与载体TiO₂的相互作用,使TiO₂光吸收限发生蓝移,对可见光部分的吸收明显增加,拓宽了催化剂的光响应范围;材料吸光性能强弱顺序Pd/V₂O₅-TiO₂ >Cu/V₂O₅-TiO₂ >Ag/V₂O₅-TiO₂>Ni/V₂O₅-TiO₂;材料的吸附性能及反应物的吸附态是反应发生的关键,CO₂在Ag/V₂O₅-TiO₂表面无法形成卧式吸附态,没有目的产物甲基丙烯酸(MAA)生成,光量子效率低;光吸收性能较好的Pd/V₂O₅-TiO₂对CO₂吸附能力过强,卧式吸附态脱附温度高,光催化效率不高;Cu/V₂O₅-TiO₂对CO₂吸附能力适中,CO₂与C₃H₆脱附温度较接近,实现了“光-表面-热”的协同作用,光量子效率最高,达15.1%。     

钛酸钾晶须界面性质研究

通过乳液聚合的方法对钛酸钾晶须进行表面改性,获得了表面包裹聚甲基丙烯酸甲酯的钛酸钾晶须. FT-IR、SEM、EDS的表征表明,钛酸钾晶须的表面包裹了聚甲基丙烯酸甲酯膜,形成了以钛酸钾晶须为核,聚甲基丙烯酸甲酯为壳的复合粒子.研究表明,改性后的晶须表面能降低,在有机溶液中的界面张力大大降低,与聚甲基丙烯酸甲酯的界面性质相似,说明改性后的晶须基本被聚甲基丙烯酸甲酯完全包裹,因此晶须由亲水性变为疏水性,在有机溶液中的分散性显著提高.     

Li3V2(PO4)3的溶胶-凝胶合成及其性能研究

以LiOH·H₂O(LiF、Li₂CO₃、LiCH₃COO·2H₂O)、NH₄VO₃、H₃PO₄和柠檬酸为原料,采用Sol-gel法合成锂离子电池正极材料Li₃V₂(PO₄)₃。优化了锂源、溶胶的pH值、预烧条件、煅烧温度等合成条件,并采用XRD、SEM、恒电流充放电及循环伏安试验等方法,研究了所合成的Li₃V₂(PO₄)₃的结构形貌和电化学性能。结果表明,以LiOH·H₂O为锂源,溶胶的pH值等于3,于氩气氢气(体积比9∶1)混合气中300 ℃预烧 4 h,并在氩气氢气(体积比9∶1)混合气中600 ℃煅烧8 h合成的Li₃V₂(PO₄)₃正极材料为标准的单斜结构,具有较高的放电比容量和较好的循环稳定性,0.1C和1C倍率下首次放电比容量分别为130 mAh·g^-1和129 mAh·g^-1;1C倍率下循环40次后,容量仍为127 mAh·g^-1,容量保持率为98.4%;随后又进行10C倍率放电,10次循环后容量为105 mAh·g^-1,容量保有率达98.1%。循环伏安测试表明,该正极材料具有较好的电化学可逆性。     

Harnack Inequalities for Functional SDEs Driven by Subordinate Brownian Motions

Potential Analysis - Using coupling by change of measure and an approximation technique, Wang’s Harnack inequalities are established for a class of functional SDEs driven by subordinate...     

环糊精诱导二苯甲酮敏化α－溴代萘室温磷光分析法

环糊精诱导二苯甲酮敏化α－溴代萘室温磷光分析法谢剑炜，许金钩，陈国珍，刘长松（厦门大学化学系现代分析化学研究所，厦门，３６１００５）（山西大学化学系，太原）关键词二苯甲酮，敏化室温磷光，α－溴代萘，环糊精胶束、环糊精等有序介质能有效地使能量给体和受体...