Highly Anisotropic Rigidity of "Ribbon-Like" Polymers: II. Nematic Phases in Systems between Two and Three Dimensions
Highly Anisotropic Rigidity of "Ribbon-Like" Polymers: II. Nematic Phases in Systems between Two and Three Dimensions
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“带状”聚合物的高度各向异性刚性：II。
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
J. Joanny
中科院分区：
文献类型：
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作者：
I. Nyrkova;A. Semenov;J. Joanny
为了描述带状聚合物溶液中的向列相p相，建立了基于二次维里近似的Onsager理论的各种扩展。如果线圈的平均形状是各向异性的，并且浓度不太高，则可以认为线圈是各向异性的固体物体，并且可以在线圈浓度上进行普通的膨胀。第一种方法可以应用于研究煎饼的向列排序。在较高的浓度下，当聚合物链较长时，聚合物溶液可以被认为是短片段连接成链的溶液，具有特定的统计量，反映了具有两种刚性的聚合物结构：可以构建类似的病毒膨胀。最后一种方法允许同时考虑向列相的各种对称性。我们还考虑了对平均场结果的相关校正，这为相互作用自由能提供了重要的额外角依赖性。缩放参数适用于线圈内相关性非常强的情况，或者线圈作为不透明物体相互作用的情况。本文开发的方法将在进一步的出版物中用于研究带链溶液中的液晶有序。
Various extensions of Onsager theory based on the second virial approximation are constructed in order to describe nematic P-phases in ribbon polymer solutions. If the average coil shape is anisotropic and the concentration is not too high, the coils can be considered as anisotropic solid objects and an ordinary expansion over the coil concentration can be performed. This first approach can be applied to study pancake nematic ordering. At higher concentrations and when the polymer chains are rather long, the polymer solution can be considered as a solution of short fragments connected into chains with a particular statistics reflecting the polymer structure with two rigidities: a similar virial expansion can be constructed. This last approach allows the consideration of the various symmetries of the nematic phases simultaneously. We also take into account the correlation correction to the mean field result which provides an essential additional angular dependence to the interaction free energy. Scaling arguments are applied in the case where the intra-coil correlations are very strong, or if the coils interact as opaque objects. The methods developed here will be used in further publications to study liquid crystalline ordering in solutions of ribbon chains.