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The coexistence curves and light scattering data for a critical solution of benzonitrile + octane have been reported. The critical exponents relating to the difference in the density variables between two coexisting phasesβ, the osmotic compressibilityγ, and the correlation length v have been deduced and the values were consistent with the 3D-Ising value in the range close to the critical point. The experimental results of the coexistence curves have also been analyzed to examine the Wegner correction terms and the behavior of the diameter of the coexistence curves.

用折射率法和不同角度的光散射法测量了苯甲腈+正辛烷二元体系在临界温度附近的液-液共存曲线和一相区不同温度下的渗透压缩系数及关联长度,得到与共存曲线相关的临界指数β,与渗透压缩系数相关的的临界指数γ和与关联长度相关的的临界指数γ,发现在近临界点体系符合3D-Ising模型,讨论了共存曲线直径和Wagner校正项。

On the basis of research result above, the concept of critical velocity is presented and the different influences of water velocity around the critical point are study to help the future design of hot stamping mould.

在以上研究结果基础上提出速度临界值的概念,分析水流速度在临界点两侧对模具换热的不同影响,为模具冷却系统的工程设计提供了理论支持。

Firstly, a group of hyper-plane coefficients are solved using analytic method from one critical point. Then, the deflection is obtained according to the correlativity and other critical points' security information. Thus, the improved coefficients are achieved.

首先在一个临界注入点处通过解析法计算得到一组平面系数,然后根据相关性和其它临界注入点的安全性信息,得到该组系数与真实值之间的偏移值,最后得到该系数的改进值。

Besides, the reduction of the dispersion part of potential leads to a lower critical temperature and higher in-plane part of molecular dipole moment; however, because the reduced critical temperature is relatively small compared with that of a 3D system, disappearance of the critical point has not been observed in the quasi-2D SM system within practical scope of the simulation.

尽管受到插入困难的限制,本文没有直接发现随着色散作用的减小汽液共存消失的现象,但根据对模拟结果的分析及对偶极作用的讨论,本文猜测这种情况在更小的色散作用和更低的温度下仍然是会发生的。

Results show that floes' VC and D at the surface water were closely related to current velocity; and the peaks of VC lag those of the current velocity. The lag variation during ebb and flood tides is 10-30min and 30-50 min, respectively. Current velocity at 50 cm/s is a turning point of D vs. vertical average current velocity, before the point, Dm increases with current velocity, and decreases after the point. Similarly, VC at 75μl/L becomes a critical point in the surface water, below the point, D increases with VC, and above the point, D stabilizes.Δp is D dependent, larger floes have much lower Δp than smaller floes. Both D and Δp of floes affect ω. In the surface water during spring tide and neap tide, a power exponent relationship exists between Δp and D, and ω and D.

研究表明:①长江口徐六泾表层絮凝体体积浓度主要受水流流速影响,再悬浮现象明显,体积浓度过程线滞后流速过程线,落潮期间滞后10-30min,涨潮则滞后30-50min;②小于一定流速时絮凝体平均粒径随流速增大而增大,大于一定流速时絮凝体平均粒径则随流速增大而减小,徐六泾夫、小潮表层絮凝体在50cm/s的垂线平均流速时出现平均粒径与垂线平均流速关系的转折;③徐六注大、小潮表层絮凝体平均粒径在体积浓度75μl/L时出现平均粒径与体积浓度关系的转折,体积浓度小于75μl/L时粒径随体积浓度增加而增大,超过75μl/L时粒径随体积浓度的增加变化不明显;④絮凝体有效密度由粒径大小控制,粒径大,有效密度小,反之亦然,粒径和有效密度共同决定絮凝体静水沉速,有效密度和沉速与平均粒径之间均存在良好的幂指数关系。

The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下:首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性,运用变分方法与临界点理论,构造这一类奇异椭圆方程的环绕型临界值,并由特征值的性质给出临界值的估计,同时证明局部条件成立,最终证明方程非平凡解的存在性。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点,通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性,但当我们在无界域上考虑该椭圆方程解的存在性时,Sobolev空间H_0~(1,2)到L~(2*)的嵌入非紧,从而导致所对应的能量泛函失去紧性,本章在非光滑临界点理论的基础上,应用周期逼近的方法证明该问题非平凡解的存在性。

In this paper, using the methods of Fourier transformation and moment-space renormalization group et al, we studied the phase transition of several complex Gauss systems, figured out the critical point and critical exponents of the system, simply discussed the critical problem of the system with long rang interactions and the universality of phase transition.

本文利用傅立叶变换和动量空间重整化群变换等方法,研究了一些复杂Gauss系统的相变和临界性质,求解了系统的临界温度和临界指数,简单地探讨了相变的普适性和系统中存在长程相互作用的问题。

Auniformfast calculation model for CO2 thermodynamic and transport properties in sub-critical pressure region,covering pressure fromthe pressure of triple point to critical point,superheating of 0~200 K,subcooling of 0~87 K,was presented.

提出CO2亚临界压力区具有统一形式的热力性质和传输特性的显式计算模型。

In this study, the critical point data of ternary systems which is composed of supercritical carbon dioxide, trisodium salt of tri-(m-sulfonphenyl)phosphine and cosolvent were measured the first time. With the increase of mol% of the cosolvent, critical temperature of ternary system increased, and the experimental data show a linear dependence of critical temperature with mol% of the ternary system over the concentration ranges studied too.

北京化工大学硕士研究生论文本文还首次测试了在超临界CO:中加入三磺化三苯基麟以及共溶剂组成的三元体系的临界点数据,发现三元体系中临界温度也随共溶剂的浓度增加逐渐增加,呈一种线性关系。

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