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1.
Gustavo A.Carri 《高分子科学》2015,33(4):523-539
We revisit the Simha-Somcynsky model of polymer fluids with the purpose of developing novel theoretical and computational approaches to simplify and speed up its solution as well as the fitting of experimental data, and decrease its level of mathematical complexity. We report a novel method that allows us to solve one of the two equations of the model exactly, thus putting the level of mathematical difficulty on a par with the one of other models for polymer fluids. Moreover, we describe a computational algorithm capable of fitting all five parameters of the model in an unbiased way. The results obtained reproduce literature results and fit experimental pressure-volume-temperature and solubility parameter data for three polymers very accurately. Moreover, the new techniques allow for the investigation of the model at very low temperatures. Unexpectedly, the model predicts behaviors that could be interpreted as a glass transition, as routinely observed in dilatometry and differential scanning calorimetry, and a glass phase. We compared the predicted and experimental T g’s for cis poly(1,4-butadiene) and found an excellent quantitative agreement. 相似文献
2.
H. Mazaheri 《分析论及其应用》2006,22(2):141-145
The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined [3 - 7], andas a counterpart to best approximation in normed linear spaces, best coapprozimation was introduced by Franchetti and Furi^[1]. In this research, we shall define τ-Chebyshev subspaces and τ-cochebyshev subspaces of a Banach space, in which the property τ is compact or weakly-compact, respectively. A set of necessary and sufficient theorems under which a subspace is τ-Chebyshev is defined. 相似文献
3.
Jun-tao Chang Joerg Evers Marian O. Scully M. Suhail Zubairy 《量子光学学报》2006,12(B08):77-77
We propose a scheme to obtain the distance of two identical atoms placed inside the standing wave field by monitoring the collective resonance fluorescence spectrum emitted by the two particles. We find three different parameter ranges, depending on the distance of the atoms as compared to the transition wavelength. For large interparticle distances, dipole-dipole coupling is negligible, and the main system evolution arises from the interaction with the standing wave field. In the small-distance limit, the dynamics is dominated by the dipole-dipole interaction. Finally, in the intermediate region, a rich interplay of the various couplings arises, which however is lifted for strong driving laser fields. The present measurement procedure allows us to distinguish the three cases. In each of the cases, we show how to determine the distance of the two particles and their respective positions relative to the nodes of the standing wave field with fractional-wavelength precision. 相似文献
4.
本文给出了在Re=50—400范围内二维圆柱后涡脱落的有序和混沌现象的一些初步实验结果。涡脱落由有序到混沌的转捩发生在Re=184.6—193.5之间,但是它不是通过准周期途径。在涡脱落频率与Re数的关系曲线上有两个间断。在Re=70处的间断可能对应于倾斜涡脱落模式的变化,在Re≈193.5处的第二间断对应于由有序到混沌状态的转捩。 相似文献
5.
The paper that may be worthy of remark is entitled "Asymptotic Expansions of Integrals of Certain Rapidly Oscillating Functions" and appeared in Mathema tics of Computation, Vol. 49, No. 179(1987), 243—249.What we would like to mention is that the main result of the paper, namely an asymptotic expansion formula with a remainder estimate (cf.§3), is actually a special consequence 相似文献
6.
Gary L.Mullen 《数学进展》1991,(1)
In this paper we will study Dickson polynomials of the first and second kinds over finite fields. For these polynomials we will discuss some known properties, point out some similarities and differences between the two kinds, and most importantly, indicate a number of open problems concerning these polynomials. 相似文献
7.
8.
Jonn M. Rassias 《数学研究及应用》1987,7(1):77-80
It is well known that F. G. Tricomi (1923) is the originator of the theoryof boundary value problems for mixed type equations by establishing the Thicomi equation: y·uxx+uyy=0 which is hyperbolic for y < 0, elliptic for y=0. and parabolic for y= 0 and then applied it in the theory of transonic flows.Then A.V.Bitsadze together with M. A . Lavrent′ev (1950) established the Bitsadze Lavre nt′ev equation: sgn( y ) ·uxx+uyy=0 where sgn(y) = 1 for y > 0, = -1 for y<0, 0 for y=0 with the discontinuous coefficient sgn( y ) of uxx, while in the case of Tricomi equation the corre sponding coefficient y is continuous. In this paper we establish the mixed Bitsadze Lavrent′ev Tricomi equation. Lu=K(y)·uxx+sgn(x) ·uyy+r(x,y)·u=f(x,y), where the coefficient K=K(y) of uxx is increasing continuous and coefficient M=sgn(x) of uyy discontinuous, r=r(x,y) is once continuously differentiable, f=f(x,y) continuous. Finally we prove the uniqueness of quasi regular solutions and observe that these new results can bbe applied in fluid dynamics. 相似文献
9.
高温等离子体系统中存在等离子体流体力学运动演化过程、离子的离化分布演化动力学过程、高剥离态离子谱发射过程及发射芬光辐射输运过程等,而且高温等离子体系统通常是非平衡系统,所以定量研究高温等离子体系统的发射X光谱和高温等离子体对X光的吸收是一个非常复杂的问题。为了模拟和解释实验测得的激光等离子体发射光谱,提出了一种薄埋点靶:直径为φ200μm厚度为0.1μm的铝点埋在20μm厚的CH膜底衬中,表面再覆盖0.1μm厚CH膜。 相似文献
10.
考虑到手套箱系统的主要污染核素为^239Pu,^241Am,^3H和U,其中^239Pu,^241Am属α长寿命极毒核素,很容易产生放射性气溶胶。在手套箱系统退役过程中,手套箱系统的拆除解体前后均应采用行之有效的方法进行去污,最大限度的减少放射性物质对环境的污染。文中根据可剥离膜去污技术、电解去污技术、导电高分子聚合物导电机理以及超声波去污技术,针对镅污染手套箱拆下部件的污染情况和材质特点,采取单独使用和组合使用的方法进行相应的去污技术研究。 相似文献