相空间重构中延迟时间选取的新算法

根据Takens提出的嵌入理论,对比研究在相空间重构过程中对延迟时间选取的若干方法,提出一种新的平均位移-互信息联合算法.在互信息函数的具体计算上,引入二叉树的方法划分和标记网格,克服了以往算法繁琐、难以编程实现的缺点,并通过判断稀疏网格所占比例控制划分层数,获得较高的精度.最后通过对R ssler系统和Lorenz系统的数值仿真,证明算法具备更高的可行性与准确度.     

Spontaneous U（1） Symmetry Breaking in Coupled Bose System

Adding a U(1) symmetry breaking term V^1/2 a(λ₁a₀+λ*₁a^†₀)+V^1/2(λ₂b₀+λ^*₂b^†₀) to Bogoliubov's truncated Hamiltonian H_B for a weakly interacting coupled Bose system, by using the mean-field approximation rather than the c-number approximation, we find that, via a Feshbach resonance at zero temperature, the states of the coupled Bose system are generalized SU(1,1) × SU(1,1) coherent states. The Bose-Einsteincondensation occurs in response to the spontaneous U(1) symmetry breaking.     

聚合物分散剂对氟虫脲水悬浮剂分散稳定性的影响

通过测定药物颗粒界面Zeta电位和平均粒径, 研究了聚合物分散剂苯乙烯磺酸聚合物钠盐(GY-D08)用量、pH和盐离子对氟虫脲水悬浮剂分散稳定性的影响, 研究结果表明, 分散剂GY-D08的加入量与水悬浮剂分散效果密切相关, 制备质量分数为5%氟虫脲水悬浮剂的GY-D08最佳用量为2%, GY-D08用量过多或过少都会使分散效果下降; pH影响分散剂GY-D08在水中的电离能力, 当pH=9时, GY-D08分子完全电离, 能为颗粒提供较大的静电位阻, 水悬浮剂分散稳定性最好; Mg²⁺或Ca²⁺压缩颗粒界面的双电层, 降低Zeta电位, 使颗粒因带电量减少而聚结, 导致水悬浮剂分散稳定性变差, 且Mg²⁺或Ca²⁺浓度愈大, 其分散稳定性愈差; 当离子浓度相同时, Ca²⁺压缩双电层的能力比Mg²⁺强, 添加Ca²⁺后的水悬浮剂的分散稳定性更差.     

线性ABC三嵌段共聚物在均聚物C中自组装的自洽平均场模拟

应用实空间的自洽平均场理论研究了线性ABC三嵌段共聚物在均聚物C中的自组装. 模拟结果表明, 共聚物在均聚物中形成的分散相主要为核壳结构. 通过降低A与C之间的相互作用, 可以使核壳结构的成核嵌段发生从嵌段A向嵌段B的转变, 并且在转变过程中观察到了多种过渡结构, 包括带有凸起表面的盘状结构和柱状结构以及相互缠绕的柱状结构. 另外, 降低嵌段共聚物中A嵌段在共混体系中的含量有利于形成以B为核的核壳结构.     

梯形复式断面均匀流水力计算

对由主槽、斜边坡以及边滩三部分组成的梯形复式断面渠道均匀流的水力计算进行了研究,采用表观切应力表示各子断面间的横向动量交换,结合各部分力的平衡关系式,推导出了主槽、斜边坡和边滩平均流速的计算公式．采用UK-FCF的实验数据对公式进行了验证,滩槽相对水深为0.057~0.4的7组工况计算值与实测值的比较表明,不考虑表观切应力的计算值与实测值的一致性都较差．比较而言,斜边坡部分平均流速在水深较小时计算值大于实测值,在水深较大时计算值小于或接近实测值,表观切应力对边滩部分平均流速的影响不明显,而主槽部分若不考虑表观切应力的影响,则计算值与实测值差别较大．运用三段式模型与刘沛清等提出的两段式模型分别进行了有边坡梯形断面复式渠道的水力计算,结果表明对于有边坡段的梯形断面渠道（河道）,三段式模型更加有效．最后,将计算的表观切应力与实测表观切应力进行了比较,两者的一致性表明采用的动量输运系数是合适的．     

叶绿素浓度垂直不均一分布对于分层水体表观光学特性的影响

以往大部分海洋光学和海色研究都是以海洋光学有效成分及固有光学特性垂直均一分布的假设为基础进行的,然而海洋观测表明海水成分的垂直不均一性大量存在。文章通过Hydrolight辐射传输模拟研究了叶绿素浓度垂直不均一分布对海水表观光学特性的影响。叶绿素浓度垂直不均一分布由高斯模型来近似模拟,选择成熟的一类水体生物光学模型,利用Hydrolight辐射传输代码模拟表观光学特性,将垂直不均一廓线情况下模拟的表观光学特性值与具有本底值的均一廓线情况所模拟的相应值进行了比较。结果表明,水表面以下的叶绿素浓度最大值增加了蓝光波段的遥感反射率,减小了绿光波段的遥感反射率,而且改变了水体中辐射的方向分布,在叶绿素浓度最大值处,下行辐射漫衰减系数和平均余弦廓线分别出现峰值和谷值。     

捕获电子效应对电流驱动影响的数值研究

在考虑到捕获电子效应的情况下,对求解二维Fokker-Planck方程的编程进行了反弹平均的修改,使用了交替方向隐式法来求解方程。分析和计算了在不同扩散系数和不同共振区间的情况下,捕获电子效应对驱动电流的影响。结果显示：随着逆纵横比的增加驱动电流密度有明显的下降,在磁轴附近捕获电子效应对电流驱动影响很小;提高波功率并不能很好的改善捕获电子效应对电流驱动的影响;右移共振区间提高共振电子的速度,也不能很好的改善捕获电子效应对电流驱动的影响。所得结果与理论分析基本一致。     

Aggregation Behaviors of a Two-Species System with Lose-Lose Interactions

We propose an aggregation evolution model of two-species （A- and B-species） aggregates to study the prevalent aggregation phenomena in social and economic systems. In this model, A- and B-species aggregates perform self-exchange-driven growths with the exchange rate kernels K（k, l） = Kkl and L（k, l） = Lkl, respectively, and the two species aggregates perform self-birth processes with the rate kernels J1（k） = J1 k and J2（ k ） = J2k, and meanwhile the interaction between the aggregates of different species A and B causes a lose-lose scheme with the rate kernel H（k,l） = Hkl. Based on the mean-field theory, we investigated the evolution behaviors of the two species aggregates to study the competitions among above three aggregate evolution schemes on the distinct initial monomer concentrations A0 and B0 of the two species. The results show that the evolution behaviors of A- and B-species are crucially dominated by the competition between the two self-birth processes, and the initial monomer concentrations Ao and Bo play important roles, while the lose-lose scheme play important roles in some special cases.     

Mean-field Theory for Some Bus Transport Networks with Random Overlapping Clique Structure

Transport networks, such as railway networks and airport networks, are a kind of random network with complex topology. Recently, more and more scholars paid attention to various kinds of transport networks and try to explore their inherent characteristics. Here we study the exponential properties of a recently introduced Bus Transport Networks （BTNs） evolution model with random overlapping clique structure, which gives a possible explanation for the observed exponential distribution of the connectivities of some BTNs of three major cities in China. Applying mean-field theory, we analyze the BTNs model and prove that this model has the character of exponential distribution of the connectivities, and develop a method to predict the growth dynamics of the individual vertices, and use this to calculate analytically the connectivity distribution and the exponents. By comparing mean-field based theoretic results with the statistical data of real BTNs, we observe that, as a whole, both of their data show similar character of exponential distribution of the connectivities, and their exponents have same order of magnitude, which show the availability of the analytical result of this paper.     

Mean-field potential calculations of high-pressure equation of state for BeO

A systematic study of the Hugoniot equation of state, phase transition, and the other thermodynamic properties including the Hugoniot temperature, the electronic and ionic heat capacities, and the Gruneisen parameter for shockcompressed BeO, has been carried out by calculating the total free energy. The method of calculations combines first-principles treatment for 0 K and finite-T electronic contribution and the mean-field-potential approach for the vibrational contribution of the lattice ion to the total energy. Our calculated Hugoniot is in good agreement with the experimental data.