Ca~(2+)掺杂对SmFeO_3的介电、铁磁特性及磁相变温度的影响

采用固相反应法制备Sm_(1-x)Ca_xFeO_3(x=0,0.1,0.2,0.3)样品,研究Ca~(2+)掺杂对SmFeO_3介电性能、铁磁性及磁相变温度的影响.X射线衍射图谱分析表明:所有样品的主衍射峰与SmFe03相符合且具有良好的晶体结构.随着x的增加,SmFeO_3样品的晶粒尺寸由原来的0.5μm逐渐增大到2μm.当f=1 kHz时,Sm_(1-x)Ca_xFeO_3(x=0.1,0.2,0.3)样品的ε_r分别是SmFe03的5倍、3倍和2.6倍,而tgσ增大一个数量级.在3T磁场作用下,SmFe03样品的M-H呈线性,随着x的增加,M-H逐渐趋向饱和,Sm_(1-x)Ca_xFeO_3(x=0.1,0.2,0.3)样品的M_r分别是SmFeO_3的20倍、31倍和68倍.X射线光电子能谱分析表明:Fe~(2+)和Fe3+共存于Sm_(1-x)Ca_xFeO_3样品中,Fe~(2+)/Fe~(3+)比例随着x的增加而增大,证明Ca~(2+)掺杂增加了Fe~(2+)的含量,形成Fe~(2+)—O~(2-)—Fe~(3+)超交换作用,增强SmFe03的铁磁特性.测量了Sm_(1-x)Ca_xFeO_3样品在外加磁场为1000 Oe(1 Oe=79.5775 A/m)的M-T变化关系,观测到其自旋重组温度(T_(SR))和尼尔温度(T_N)分别为438 K和687 K,发现SmFe03样品的T_(SR)和T_N均随着x的增加向低温方向移动,当x=0.3时,自旋重组现象消失.这主要是SmFeO_3样品磁结构的稳定性和Fe~(3+)—O~(2-)—Fe~(3+)及Sm~(3+)—O~(2-)—Fe~(3+)超交换三者共同作用的结果.     

多孔介质快速干燥过程热质耦合方程的代数显式解析解

对多孔介质快速干燥过程的传热与传质耦合方程组导出了两套代数显式解析特解。这些解首先可以作为计算传热传质学的标准解,用以检验数值计算的准确性、收敛性与稳定性等,还可以启发数值工作者改进计算技巧例如差分格式与网格生成技术等。当然,解析解还会有其相应的理论价值。     

变热物性非定常导热方程的一些显式解析解

各种变热物性（热传导系数、密度与比热为变数）的非定常导热方程的解析解在理论上是有意义的；而且它们对计算传热学也很有实用价值；可以作为标准解来校核各种数值计算以及用来启发发展各种计算技巧例如差分格式、网格生成等等。但已知的解析解很少。本文对直角座标下沿几何座标变热物性的非定常几何一元及二元的导热方程导出了一些代数显式解析解，其中有些解包含有任意函数，其实是无限多个解；可作为发展导热学理论及计算导热学之用．     

聚硅硫酸亚铁的混凝特性及影响因素

混凝剂;聚合硫酸铁;水处理;聚硅硫酸亚铁的混凝特性及影响因素     

Suitable resolution of EOS tables for neutron star investigations

Inasmuch as the hydrostatic structure of the interior of neutron stars uniquely depends on the equation of state(EOS), the inverse constraints on EOS from astrophysical observations have been an important method for revealing the properties of high density matter. Currently, most EOS for neutron star matter are given in tabular form,but these numerical tables can have quite different resolution. To guarantee both the accuracy and efficiency in computing the Tolman-Oppenheimer-Volkoff equations, a concise standard for generating EOS tables with suitable resolution is investigated. It is shown that EOS tables with 50 points logarithmic-uniformly distributed in the supra-nuclear density segment [ρ_0, 10_(ρ0)], where ρ_0 is the nuclear saturation density, correspond to the interpolation induced errors of ～0.02% for the gravitational mass M and ～0.2% for the tidal deformability ∧.     

基于离散缝洞网络模型的缝洞型油藏混合多尺度有限元数值模拟

针对缝洞型油藏具有多尺度特征,基于离散缝洞网络模型,建立了Darcy/Stokes-Brinkman多尺度耦合数学模型,采用多尺度混合有限元方法,对缝洞型油藏的流体流动问题进行了研究。阐述了多尺度混合有限元方法的基本原理,推导得到了Darcy/Stokes-Brinkman多尺度模型的多尺度混合有限元计算格式。数值计算结果表明,在大尺度模型上进行计算能够捕捉到小尺度上的流动特征;相对于传统有限元,多尺度混合有限元能够捕捉小尺度上的非均质特征而具有更高的计算精度,在保证计算精度的同时能够减少计算量。     

Impulsive synchronisation of hyperchaotic a class of fractional-order systems

In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems＇ impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.