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利用1/N展开理论考察高分子物理中的几个典型高分子体系.研究发现,平均场理论只有在体系具备一定对称性时才适用.在中性高分子溶液中,不论是单组分、多组分还是嵌段共聚物体系,1/N展开理论对于N取值不小于6时是适用的.对于聚电解质体系,平均场理论仍然可以粗糙地描述弱带电聚电解质的统计性质.对于强带电聚电解质体系,由于体系对称性大为降低,平均场理论不再适用,标度理论或许会是一个适合的方法.
Using the 1 / N expansion theory to investigate several typical polymer systems in polymer physics, we find that the averaging field theory is applicable only when the system has some symmetry.In the neutral polymer solution, whether single component, Multi-component or block copolymer systems, the 1 / N expansion theory is suitable for N values of not less than 6. For the polyelectrolyte system, the averaging field theory can still roughly describe the statistical properties of the weakly charged polyelectrolytes. Charged polyelectrolyte system, the symmetry of the system is greatly reduced, the average field theory is no longer applicable, scale theory may be a suitable method.