The Lagrangian theory of polymer solutions at intermediate concentrations
The Lagrangian theory of polymer solutions at intermediate concentrations
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中间浓度聚合物溶液的拉格朗日理论
DOI：
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发表时间：
1975
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通讯作者：
J. D. Cloizeaux
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文献类型：
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作者：
J. D. Cloizeaux
2014年，De Gennes证明了溶液中孤立聚合物（具有排除体积的链）的性质可以在没有外场的零分量场的拉格朗日理论框架内推导出来。这一结果推广到中等浓度的聚合物溶液的情况。结果表明，一个大的聚合物系综可以描述通过使用拉格朗日理论的零分量场耦合到一个外部场。聚合物（链）的浓度Cp和单体（链）的浓度Cm由两个化学势固定。它表明，渗透压服从的形式（P/KTCp）= F（Cp N303 BD），其中N是每个聚合物的单体的平均数（N = Cp/Cm）和03 BD的临界指数定义的长孤立的聚合物的大小的标度律。函数F（03 BB）可以展开为03 BB的幂，并且它由拉格朗日理论导出的零动量顶点函数的生成泛函隐式地给出。计算结果与实验结果吻合较好。托姆36 N° 4 AVRIL 1975分类物理学文摘1.650 7.480
2014 De Gennes has shown that the properties of an isolated polymer in a solution (a chain with excluded volume) can be deduced within the framework of a Lagrangian theory for a zero component field in the absence of an external field. This result in generalized to the case of polymer solutions at intermediate concentrations. It is shown that a grand ensemble of polymers can be described by using a Lagrangian theory for a zero component field coupled to an external field. The concentrations Cp of polymers (chains) and Cm of monomers (links) are fixed by two chemical potentials. It is shown that the osmotic pressure obeys a scaling law of the form (P/KTCp) = F(Cp N303BD) where N is the mean number of monomers per polymer (N = Cp/Cm) and 03BD the critical index defining the size of a long isolated polymer. The function F(03BB) can be expanded in powers of 03BB and it is given implicitly by the generating functional of the zero-momentum vertex functions derived from the Lagrangian theory. The results seem to be in good agreement with experiments. Tome 36 N° 4 AVRIL 1975 Classification Physics Abstracts 1.650 7.480