A modern approach to the solution and analysis of the Simha-Somcynsky model for the description of pressure-volume-temperature properties of polymer fluids

We revisit the Simha-Somcynsky model of polymer fluids with the purpose of developing novel theoretical and computational approaches to simplify and speed up its solution as well as the fitting of experimental data, and decrease its level of mathematical complexity. We report a novel method that allows us to solve one of the two equations of the model exactly, thus putting the level of mathematical difficulty on a par with the one of other models for polymer fluids. Moreover, we describe a computational algorithm capable of fitting all five parameters of the model in an unbiased way. The results obtained reproduce literature results and fit experimental pressure-volume-temperature and solubility parameter data for three polymers very accurately. Moreover, the new techniques allow for the investigation of the model at very low temperatures. Unexpectedly, the model predicts behaviors that could be interpreted as a glass transition, as routinely observed in dilatometry and differential scanning calorimetry, and a glass phase. We compared the predicted and experimental T g’s for cis poly(1,4-butadiene) and found an excellent quantitative agreement.     

C^3I系统性效比分析研究

提出一种比较全面的C^3I系统效能的模拟分析方法，从战场态势的角度模拟分析C^3I系统通信网性能对兵力效能的影响程度，提出改进C^3I系统性能的对策。     

超大规模集成电路中任意形状掩模边缘附近的离子分布

离子注入过程中,注入离子在掩模边缘附近的分布决定MOS晶体管漏极区域处的电场强度,计算了70keV硼离子注入硅样品中不同掩模边缘离子密度等线,考虑了四阶矩下的杂质深度分布(无掩模情况)。合理选择掩模蚀刻工艺,可获得均匀性,高抗噪声度的器件中。同时也指出了太薄掩模材料对注入离子分布的影响。     

数学竞赛之窗

2005年国家集训队于3月14日至4月2日在辽宁沈阳东北育才学校进行了培训、测验和选拔.经过6次测验和选拔考试,选出了今年的6名国家队队员:任庆春(天津耀华中学),刁晗生(上海华师大二附中),罗晔(江西师大附中),康嘉引(广东深圳中学),邵火亘程(上海复旦大学附中),赵彤远(河北石家庄二中).选择考试命题组成员为:熊斌,王建伟,陈永高,余红兵,冷岗松,李伟固,朱华伟,郑仲义.     

Proper holomorphic self-maps of smooth bounded Reinhardt domains in C~n

It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain of D'Angelo finite type in Cn (n > 1) is an automorphism.