论文标题

溶液中单聚合物链和双聚合物链的临界现象

Critical Phenomena of Single and Double Polymer Strands in a Solution

论文作者

Dengler, R.

论文摘要

一个通用类描述了将两条单一聚合物链合并到双聚合物链和反向过程的统计数据。聚合物可以具有固有的方向,并且更简单的情况,其中只考虑了单个链对齐与双链的对齐。通用性类别的临界维度为六个,有一个稳定的固定点,并且通过重新归一化组和循环扩展计算临界指数。相应的字段理论用字段而非坐标路径来描述聚合物配置,并以此意义进行第二量量化。

A universality class describing the statistics of the merging of two single polymer strands to a double polymer strand and the reverse process is examined. The polymers can have an intrinsic direction, and the simpler case, where only single strands aligned parallel bind to a double strand is considered in detail. The critical dimension of the universality class is six, there is a stable fixed point and critical exponents are calculated with renormalization group and loop expansion. The corresponding field theory describes polymer configurations in terms of fields and not in terms of coordinate paths and is second quantized in this sense.

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