Ginzburg-Landau theory for higher order phase transition

Ginzburg-Landau theory for studying phase transitions of higher order has been derived using coarse graining and lattice formulation within Ehrenfest thermodynamics. Our developed Hamiltonian leads directly to the functional of the system. We studied the evolution of the order parameter using our developed model equations for third and fourth order phase transitions. The periodic nature of the system can be likened to spatially varying periodic soliton/antisoliton lattice of holes in condensate. This is different from what one observes for any conventional solitary wave in the second order phase regime.     

做好高等数学的入门教学不让学生输在起跑线上

分析了在入门阶段影响大学生学好高等数学的诸多因素,提出了如何让学生顺利过渡到大学,早日适应高等数学学习。     

二项-广义Pareto复合极值分布模型的统计推断

极值理论主要研究小概率、大影响的极端事件.当前,复合极值分布已经广泛应用于水文、气象、地震、保险、金融等领域.本文以极值类型定理和PBDH定理为理论依据,构建了二项-广义Pareto复合极值分布模型;使用概率加权矩方法,对所建立的复合模型推导参数估计式;利用计算机模拟,得到了Kolmogorov-Smirnov(简称KS)检验统计量的临界值.     

CuCoMn-zeolite双功能催化剂转化生物质基合成气制取液态烃

选用四种不同的分子筛（SAPO-34, ZSM-5, Y, MCM-41）与CuCoMn（高醇合成组元）构成双功能催化剂,利用N2吸脱附、H2-TPR、XRD、NH3-TPD等表征了催化剂的结构性质. 研究了催化剂在生物质基合成气一段法制取液态烃燃料的应用. 相比于CuCoMn催化剂,加入分子筛的双功能催化剂均不同程度地提高了液体烃燃料的选择性及收率,且收率按顺序递减呈CCM-ZSM-5〉CCM-SAPO-34〉CCM-Y〉CCM-MCM-41. 同时,共沉淀法制备的CuCoMn-ZSM-5 （20wt%, Si/Al=100） 具有最佳的CO转化率（76%）及液体产物收率（30%）. 相比于CuCoMn氧化物,双功能催化剂的比表面及孔容均得到提高. CCM-ZSM-5具有适中的微孔尺寸和中等强度的酸性,增加CCM-ZSM-5中ZSM-5含量或降低ZSM-5中的Si/Al比,均有利于提高酸性位的数量,主要是较弱的酸性位. 而共沉淀法制备的CCM-ZSM-5具有更好的金属分散性及还原性能.     

潜射导弹出水载荷数值算法研究

潜射导弹在水中航行时,表面被空泡包围,这就造成其出水时,带来较大的载荷冲击. 出水冲击载荷需要知道整个表面上的压力分布,但是这在工程实践中是不可能实现的. 本文采用有限元流固耦合仿真程序,对潜射导弹整个出水过程进行数值模拟. 根据数值计算结果,依据理论力学的基本原理,计算出潜射导弹所受到的冲击力与冲击力矩,利用NASTRAN 瞬态载荷解算器,计算出潜射导弹各截面最大响应弯矩. 结果表明,本文提出的方法能够对潜射导弹出水过程提供数值预测与安全评估.     

聚有机硅结构和规整性对链柔性和极性的影响

基于旋转异构态模型的构象构型统计方法,考虑侧基的结构,导出有机硅聚合物基础量统一计算公式,得到Poly(silastyrene)(PSS)、Polysilapropylene(PSP)、Poly(methylphenylsiloxane)(PMPS)、Poly(dimethylsilmethylene)(PDMSM)和Poly(dimethylsilylene)(PDMS)无规链的均方回转半径特征比分别为1.45、0.63、0.97、0.69和1.99,均方二极矩特征比为2.49、0.99、0.61、0.48和0.27.发现PSS和PMPS的特征比随链长、链规整程度、构象能和温度等均呈现较大的变化,而侧基、构象能和温度对PSP、PDMSM基础量影响则不大,分析极性大侧基对有机硅聚合物链柔性和极性的影响十分重要.     

基于高阶矩的稳健优化设计研究

采用随机响应量的前四阶统计矩来度量目标函数和概率约束条件的稳健性, 通过引入“权重因子”来确定新构造的目标函数中原 函数和敏感系数的比重, 利用加权组合法将稳健优化设计这一多目标优化问题转化为单目标问题, 从而建立新的基于高阶矩的稳健优化设计数学模型. 矩估计方法可高效地评估目标函数和概率约束条件的统计矩, 且不需要搜索技术, 因此不构成嵌套循环(即稳健优化过程是单循环的), 从而可以大大降低优化的计算工作量. 对多个桁架结构进行了确定性优化设计、可靠性优化设计、传统的和该文所提的稳健优化设计, 验证了所建立的基于高阶矩的稳健优化设计数学模型的合理性和正确性, 比较并解释了计算所得的优化结果.     

Solvent Effects on Spectral Property and Dipole Moment of the Lowest Excited State of Coumarin 343 Dye

Steady-state absorption and fluorescence spectra, and time-resolved fluorescence spectra of coumarin 343 (C343) were measured in different solvents. The effect of the solvent on the spectral properties and dipole moment of the lowest excited state of C343 were investigated. It was found that the absorption and fluorescence spectra red-shifted slightly and strongly with increasing solvent polarity, respectively, because the charge distribution of the excited state leaded to the increasing difference between the absorption and fluorescence spectra with increasing solvent polarity. The dipole moment of the lowest excited state of C343was determined from solvatochromic measurements and the quantum chemical calculation, and the results obtained from these two methods were fully consistent. Investigations of the time-resolved fluorescence of C343 in different solvents indicated that the fluorescence lifetimes increased nearly linearly with increasing solvent polarity from 3.09 ns in toluene to 4.45 ns in water. This can be ascribed to the intermolecular hydrogen bonding interactions between C343 and hydrogen donating solvents.     

Deformation constrained relativistic mean-field approach with fixed configuration and time-odd component

Deformation constrained relativistic mean-field (RMF) approach with fixed configuration and timeodd component has been developed and applied to investigate magnetic moments of light nuclei near doublyclosed shells. Taking 17O as an example, the results and discussion are given in detail.