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A mean field theory for diffusion-limited cluster formation 扩散受限团簇形成的平均场理论
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070730115
M. Muthukumar

A mean field theory for diffusion-controlled cluster formation is presented by considering the competition among the different protions of a growing cluster for the incoming diffusive particles. This competition is shown to introduce a screening length that depends inversely on the density of the cluster. The Hausdorff dimensionality D of these clusters is shown to be (d2 + 1)/(d + 1), where dis the eudidean dimensionality. This result is in excellent agreement with that of the computer simulations of Witten and Sander and Meakin. The theory also predicts that the growth of these clusters occurs on their periphery in any d.

PACS nos: 68.70,+ w, 82.70.Dd, 05.70.-a

通过考虑生长团簇中不同比例的粒子对进入的扩散粒子的竞争,提出了扩散控制团簇形成的平均场理论。这种竞争被证明引入了一个与集群密度成反比的筛选长度。这些簇的Hausdorff维数D显示为(d2 + 1)/(D + 1),其中为eudidean维数。这一结果与Witten、Sander和Meakin的计算机模拟结果非常吻合。该理论还预测,这些星团的生长发生在任何d.PACS的外围:68.70,+ w, 82.70。Dd, 05.70.-a
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引用次数: 4
Polycondensation of carboxylic acids and carbinols in aqueous emulsion 羧酸和甲醇在水乳液中的缩聚反应
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720115
Madhu Baile, Yungnien J. Chou, John C. Saam

Water-insoluble diols and dicarboxylic acids condense to polyesters in aqueous emulsion under relatively mild conditions in the presence of sulfonic acids. Azelaic acid and 1,10-decanediol give conversions to polymer of 50% and 75%. Molecular weights range between 1500 and 3000. The best catalysts are sulfuric acid or the sulfonic acid surfactants. Water soluble monomers give little or no increase in molecular weight. Estimates based on equilibrium constants for a typical esterification, and the observed molecular weights indicate that only minute amounts of water can be present at the site of reaction. It is suggested that the process might be related at least in some aspects to the condensation polymerization of silanol-ended polydimethylsiloxane oligomers in emulsion [1].

不溶于水的二醇和二羧酸在相对温和的条件下,在磺酸的存在下缩合成聚酯。壬二酸和1,10-癸二醇的聚合物转化率分别为50%和75%。分子量在1500到3000之间。最好的催化剂是硫酸或磺酸表面活性剂。水溶性单体的分子量很少或没有增加。根据典型酯化反应的平衡常数和观察到的分子量估计表明,只有微量的水可以出现在反应部位。有人认为,该过程可能至少在某些方面与乳液中硅醇端聚二甲基硅氧烷低聚物的缩聚聚合有关[1]。
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引用次数: 0
Turner alfrey and hollow-fiber membrane technology 特纳紫花苜蓿和中空纤维膜技术
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720118
T. E. Davis, R. G. Heitz

Membranes in the form of hollow fibers are increasingly being used for processes such as desalination, hemodialysis, and recovery of various gases. Turner Alfrey played a crucial role in the birth of this new technology: (1) He selected and taught the necessary fundamentals of polymer science to the researchers trying to make this new idea work. (2) He actively encouraged the researchers and their financial supporters by his clear understanding of the soundness and the potential of this new engineering tool. (3) He even demonstated how to tailor the properties of a polymer to the task at hand by his own elegant laboratory experiments.

中空纤维形式的膜越来越多地用于脱盐、血液透析和各种气体的回收等过程。Turner Alfrey在这项新技术的诞生中发挥了至关重要的作用:(1)他选择并教授聚合物科学的必要基础知识给那些试图使这项新想法发挥作用的研究人员。(2)他对这种新的工程工具的合理性和潜力的清晰理解,积极鼓励研究人员和他们的财政支持者。他甚至通过自己优雅的实验室实验演示了如何根据手头的任务调整聚合物的特性。
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引用次数: 0
Estimating reactivity in free radical copolymerizations 自由基共聚反应性的估计
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720105
G. C. Laurier, K. F. O'Driscoll, P. M. Reilly

Given good reactivity ratio data for free radical vinyl copolymerizations, the use of the Alfrey—Price Qe scheme permits the assignment of reactivity parameter values for individual monomers and the prediction of unknown reactivity ratios. A new, statistically based method has been developed and tested on a set of 11 monomers to estimate Q–e values for those monomers. The results of these estimates suggest that if care is exercised in the selection of monomer pairs for use in Q–e determinations, the Q–e scheme is quite reliable for reactivity ratio prediction on many monomer pairs.

给定良好的自由基乙烯基共聚反应性比数据,使用Alfrey-Price Q-e方案可以分配单个单体的反应性参数值并预测未知的反应性比。一种新的基于统计的方法已经开发出来,并在一组11个单体上进行了测试,以估计这些单体的Q-e值。这些估计的结果表明,如果在选择用于Q-e测定的单体对时谨慎行事,Q-e方案对于许多单体对的反应性比预测是相当可靠的。
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引用次数: 12
Reactive functional latex polymers 活性功能性乳胶聚合物
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720108
D. A. Upson

Examples of functional monomers and latex polymers are described. Use of functional monomers allows great versatility in the design of latex polymers with specialized properties. Included are examples of electrophilic, nucleophilic, crosslinkable, hydrolyzable, and metalion-chelating monomers.

描述了功能单体和乳胶聚合物的例子。功能单体的使用允许在设计具有特殊性能的乳胶聚合物时具有很大的通用性。包括亲电性,亲核性,交联性,可水解性和金属螯合单体的例子。
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引用次数: 0
An essay on the molecular theory of rubber elasticity 橡胶弹性的分子理论研究
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720107
Robert Ullman

A discussion of some current ideas on the molecular processes of rubber deformation is presented. Reference is made to some important experiments and to suggestions which have been proposed for their explanation.

讨论了目前关于橡胶变形分子过程的一些观点。文中提到了一些重要的实验,并提出了一些解释这些实验的建议。
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引用次数: 1
Correlations between polymer matrix and composite mechanical properties 聚合物基体与复合材料力学性能的相关性
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070720132
Donald F. Adams

During the past decade or more, the composite materials community has restricted itself primarily to the use of only a few structural epoxy matrix materials. Very recently, whole new families of polymer matrices have become of practical interest. In order to select from this wide range of new polymers for each specific structural application, the relation between the various polymer mechanical and physical properties, e.g., modulus, strength, strain to failure, thermal and moisture expansion coefficients, moisture absorption rate, etc., and resulting composite properties must be known. Correlations of finite element analysis predictions with actual experimental data will be presented, using measured mechanical and physical response properties of various toughened epoxy, bismaleimide, polyimide, and thermoplastic matrix systems as inputs to the analyses. Results will include fracture mechanics evaluations, the role of matrix nonlinear response, crack initiation and propagation, thermally induced damage, and the influence of the interface. Matrix properties to be modeled have been generated in the author's own laboratories, as part of several current and ongoing funded research studies for various government and industry groups. Several types of finite element analyses have been used, including 2-dimensional generalized plane strain with longitudinal shear loading, 2-dimensional axisymmetric, and fully 3-dimensional formulations. All of these analyses permit the input of actual matrix nonlinear stress-strain response, and how it varies as a function of temperature and moisture content. Fibers having anisotropic properties in a composite of arbitrary fiber volume are included. Time-dependent response, e.g., creep, recovery, and relaxation, and crack propagation are also possible response modes. Results will be presented in the form of composite stress-strain curves, plots of stress contours in the matrix, and at the fiber-matrix interface.

在过去的十年或更长的时间里,复合材料界主要局限于使用少数几种结构环氧基材料。最近,全新的聚合物基质家族已经引起了人们的实际兴趣。为了从范围广泛的新聚合物中为每个特定的结构应用进行选择,必须知道各种聚合物机械和物理性能之间的关系,例如,模量,强度,失效应变,热膨胀系数和湿气膨胀系数,吸湿率等,以及由此产生的复合性能。将介绍有限元分析预测与实际实验数据的相关性,使用测量的各种增韧环氧树脂、双马来酰亚胺、聚酰亚胺和热塑性基质系统的机械和物理响应特性作为分析的输入。结果将包括断裂力学评估、矩阵非线性响应的作用、裂纹的萌生和扩展、热致损伤以及界面的影响。要建模的矩阵属性已经在作者自己的实验室中生成,作为几个当前和正在进行的政府和工业团体资助的研究的一部分。几种类型的有限元分析已被使用,包括二维广义平面应变与纵向剪切载荷,二维轴对称,和全三维公式。所有这些分析都允许输入实际的矩阵非线性应力应变响应,以及它如何随温度和含水量变化。包括在任意纤维体积的复合材料中具有各向异性特性的纤维。随时间变化的响应,如蠕变、恢复、松弛和裂纹扩展也是可能的响应模式。结果将以复合应力-应变曲线的形式呈现,并在基体和纤维-基体界面处绘制应力等值线图。
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引用次数: 1
Light-scattering studies of polymer solution dynamics 聚合物溶液动力学的光散射研究
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070730119
B. Chu

Laser light scattering has been used to study the static and dynamic properties of polymers in solution. Interpretation of the intermediate scattering function S(K, t) from the center-of-mass diffusion to internal motions for both polymer coils and semiflexible chains is discussed. Crossover behavior of dynamic properties in dilute and semidilute solution regimes for polymers of finite molecular weight, instead of limiting scaling law exponents, is emphasized.

The complimentary nature of modern scattering techniques, as well as the use of specific probes, including anomalous scattering with synchrotron radiation, are likely to play an increasingly important role in investigating more complex interacting polymeric species, such as block copolymers, polyelectrolytes, and ionomers.

Measurements of time correlation function and methods of data analysis have been developed to determine the molecular weight distribution of synthetic polymers in dilute solution. In addition to center-of-mass diffusion studies in dilute solution from the good solvent region to the collapsed state, determinations of both cooperative and self-diffusion coefficients in semi-dilute solutions are within reach. Further quantitative analysis of S(K, t) awaits better theoretical models in the intermediate K range in semidilute solutions.

利用激光散射技术研究了聚合物在溶液中的静态和动态特性。讨论了聚合物线圈和半柔性链从质心扩散到内部运动的中间散射函数S(K, t)的解释。强调了有限分子量聚合物在稀溶液和半稀溶液中动力学性质的交叉行为,而不是限制标度律指数。现代散射技术的互补性质,以及特定探针的使用,包括同步辐射的异常散射,可能在研究更复杂的相互作用聚合物物种中发挥越来越重要的作用,如嵌段共聚物、聚电解质和离聚体。建立了时间相关函数的测量方法和数据分析方法来确定合成聚合物在稀溶液中的分子量分布。除了在稀溶液中从好溶剂区到崩溃状态的质心扩散研究外,半稀溶液中协同扩散系数和自扩散系数的测定也是可以实现的。在半稀溶液中,对S(K, t)的进一步定量分析有待于更好的中间K范围的理论模型。
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引用次数: 3
Gelation by additive polymerization in two dimensions 二维加性聚合凝胶化
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070730105
Andrew F. Rushton, Fereydoon Family, Hans J. Herrmann

Kinetics of gelation by additive polymerization on a two-dimensional lattice were investigated with a Monte Carlo simulation. We have determined the critical component γ and the ratio R of the critical amplitudes of the weight-average degree of polymerization (“susceptibility”) to be γ = 3.8 ± 0.5 and R = 140 ± 45. These results show that this model is neither in the universality class of standard percolation (γ ± 43/18 ± 2.38; R = 219 ± 25) nor the Flory-Stockmayer model (γ = 1, R = 1).

采用蒙特卡罗模拟方法研究了二维晶格上加成聚合的凝胶动力学。我们确定了重量-平均聚合度(“敏感性”)的临界分量γ和临界振幅的比值R分别为γ = 3.8±0.5和R = 140±45。结果表明,该模型不属于标准渗流的普适性范畴(γ±43/18±2.38;R = 219±25)和Flory-Stockmayer模型(γ = 1, R = 1)。
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引用次数: 1
Workshop on dynamics of macromolecules preface 大分子动力学研讨会前言
Pub Date : 1985-01-01 DOI: 10.1002/polc.5070730103
S. F. Edwards, P. A. Pincus
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引用次数: 1
期刊
Journal of Polymer Science: Polymer Symposia
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