Junction of Tomonaga–Luttinger liquids

Low-energy physics of one-dimensional electron systems can be generally described in terms of the Tomonaga–Luttinger liquid, instead of the Fermi liquid. We give a nontechnical review for nonspecialists on this intriguing subject. As an example of physical consequences, we discuss junction of two and three Tomonaga–Luttinger liquids.     

一种混合模式反相强阳离子交换色谱固定相的制备及其保留机理的考察

采用一种简单的“混合配体”方法将辛基和磺酸基键合到硅胶表面,制备了辛基-磺酸基共同键合硅胶(OSS)材料。通过元素分析和吸附容量检测对OSS材料进行表征,证明辛基和磺酸基已成功键合到硅胶表面上。将该OSS硅胶材料作为混合模式反相强阳离子交换(RP/SCX)色谱固定相,在反相液相色谱(RPLC)流动相条件下,采用几种碱性探针分子定量地考察了该固定相的混合模式RP/SCX保留机理。通过改变流动相中缓冲盐的浓度,考察了溶质保留因子和盐浓度的对数和倒数的关系,得到了几种碱性探针分子在该混合模式OSS固定相上的单点和两点保留机理的数学模型。对两种数学模型的方程进行了线性拟合,结果表明两点保留机理更加符合实验的结果。此外,根据混合模式两点保留机理的数学方程,可以得到单一的疏水或离子交换作用力对总保留的影响,对混合模式色谱的实际分离应用可提供有价值的参考。     

增维精细积分法的适用范围研究

对线性定常结构动力系统提出的增维精细积分法,能够将非齐次动力方程转化为齐次动力方程,不用对状态矩阵求逆就能方便高效地求解出结构的动力响应。本文在仔细分析增维精细积分法性质的基础上,提出了其适用条件,进一步拓宽了其应用范围,并给出了将荷载项展开成傅里叶级数时,相应增维精细积分法的表达式。同时,在一个时间步长内,通过对非齐次项作线性化假设,成功地将增维精细积分法应用到了非线性动力分析领域。本文方法计算格式统一,易于编程,具有很高的计算效率。数值算例证明了本文方法的有效性。     

Effects Of Compression, Stacking, Vacuum Packing and Temperature on the Migration of Bisphenol A from Polyvinyl Chloride Packaging Sheeting into Food Simulants

Summary The effects of compression, stacking, vacuum packing and temperature on the migration of bisphenol A from polyvinyl chloride plastic sheeting into European Union food simulants (water, 3% acetic acid and olive oil), 1.5% agar, and mixtures of olive oil with various proportions of inert material (fine washed sea sand) were evaluated using previously developed methods for identification and quantitation of migrants. Compression, stacking and increasing temperature all increased migration.Presented at the International Symposium on Separation and Characteristics of Natural and Synthetic Macromolecules, Amsterdam, The Netherlands, February 5–7, 2003     

二维高速碰撞问题欧拉数值模拟的混合网格计算

提出了适用于二维平面或轴对称多介质流体力学两步欧拉数值方法中输运计算的混合网格界面处理.在一个混合网格中,将界面近似看作直线.整个方法分为3步:①用混合网格周围的8个网格的介质面积份额确定界面的法线方向;②用混合网格的介质面积份额或体积份额确定界面的直线方程;③用此直线方程求出通过网格边界的流.给出了用此方法所做的测试、数值计算及与其它算法的比较.     

函数系矩阵生成的分形完备簇的豪斯夺夫维数和盒维数

本文给出了函数系矩阵的定义及运算,用函数系矩阵构造了分形完备簇,并确定了相似分形完备簇在开集条件下的Hausdorff维数和Box维数.     

具有色散的反应扩散方程在分数次幂空间的指数吸引子

本文得到具有色散的反应扩散方程组在分数次幂空间指数吸引子的存在性,同时得到（１,２）中整体吸引子分形维上界估计,完善和发展了（１－３）的结果。     

Long time behavior of a damped generalized BBM equation in low regularity spaces

Long‐time behavior of solutions of a damped, forced generalized Benjamin‐Bona‐Mahony equation with periodic boundary condition is studied. Assume that the force f∈L² and the damping coefficient is a small perturbation of a positive constant, the existence of global attractor below H¹ is proved. Moreover, we show the global attractor has finite fractal dimension in the sharp regularity space H². Finally, we give a covering of the global attractor, which suggests that the attractor is even thinner than a general set with finite fractal dimension in H². Copyright © 2015 John Wiley & Sons, Ltd.