具不同分数阶扩散趋化模型的衰减估计

研究了生物学中具有分数阶扩散的Keller-Segel模型.该模型是由两个分数阶抛物方程和一个经典抛物方程组成.在小初值条件下,利用[李大潜,陈韵梅.非线性发展方程[M].北京:科学出版社,1999.]中的能量方法,作者建立了该模型古典解的全局存在性及最优的衰减估计,得到了u,v及▽Ψ高阶导数的衰减估计.     

高温超导机制研究状况

以读者较熟悉的传统的ＢＣＳ理论为主，介绍了目前高温超导机制研究进行最多的几个主要流派，指出关于序参量的对称性问题成了争论的焦点问题。若实验上肯定了能隙的对称性，可能会结束各派纷呈的局面。     

紫外分光光度法测定地龙中重金属的含量

为地龙重金属限量标准提供依据,采用紫外分光光度法测定了地龙中重金属的含量,分析波长为273 nm.结果表明,赤子爱胜蚓的重金属含量为13.04 μg/g,线性范围0～50 μg,平均加样回收率为99.42%.该法简便、快速、重现性好,能在一次操作中测出中药中大部分重金属的含量.     

Multi-impurity effects on the entanglement of anisotropic Heisenberg ring XXZ under a homogeneous magnetic field

The effects of multi-impurity on the entanglement of anisotropic Heisenberg ring XXZ under a homogeneous magnetic field are studied. The impurities make the equal pairwise entanglement in a ring compete with each other so that the pairwise entanglement exhibits oscillation. If the impurities are of larger couplings, both the critical temperature and pairwise entanglement can be improved.     

Phase Transition Induced by Small Molecules in Confined Copolymer Films

We investigate the phase transition induced by small molecules in confined copolymer films by using density functional theory. It is found that the addition of small molecules can effectively promote the phase separation of copolymers. In a symmetric diblock copolymer film, the affinity and concentration of small molecules play an important role in the structure transitions. The disordered-lamellar transitions, larnellar-lamellar transitions and the re-entrant transitions of the same structures are observed. Our results have potential applications in the fabrication of new functional materials.     

误差为NA序列的半参数回归模型估计的r阶矩相合性

对于半参数回归模型 yi=xiβ+g( ti) +ei,i=1 ,2 ,… ,n,本文综合最小二乘法和一般加权方法 ,定义了 β,g( t)的估计量 βn,gn( t) .在误差为 NA序列时 ,得到了 βn,gn( t)的 r ( r≥ 2 )阶矩相合性 .     

一道高等数学竞赛试题的推广

对2015年浙江省高等数学竞赛中的一个条件极值问题作出了推广.     

Effective Bose-Hubbard interaction with enhanced nonlinearity in an array of coupled cavities

An array of coupled cavities,each of which contains an N four-level atom,is investigated.When cavity fields dispersively interact with the atoms,an effective Bose-Hubbard model can be achieved.By numerically comparing the full Hamiltonian with the effective one,we find that within the parameters region,the effective Hamiltonian can completely account for the Mott-insulator as well as the phase transition from the similar Mott-insulator to superfluid.Through jointly adjusting the classical Rabi frequency and the detuning,the nonlinearity can be improved.     

关于双解析函数几个命题的一些注记

给出的双解析函数的高阶导数公式及其简单的证明.其次,建立了双解析函数的Cauchy不等式.最后,运用解析函数的奇点性质证明了双解析函数的拟Liouville定理.     

非线性一维光学晶格链中的热纠缠

本文对非线性光学晶格链中自旋为1的原子，在两原子以及多原子链中紧邻原子之间的热纠缠问题作了详尽的研究，结果表明非线性耦合和线性耦合系数之间的关系对界定热纠缠是否存在起到关键作用，由于不同的原子这两种耦合对应着不同的关系，这一研究揭示在那些种类的原子中存在热纠缠；这一结果对两粒子以及多粒子体系都是成立的。在多粒子情况下临界温度以及热纠缠仅有少许下降。