论文标题
类似RNA的聚合物和双聚合物的通用类
A universality class for RNA-like polymers and double polymers
论文作者
论文摘要
我们检查了溶剂中线性聚合物构象的统计。允许聚合物形成双聚合物。我们仔细遵循经典技术，从$ o \ left（n \右）$对称旋转模型得出问题的现场理论。场理论是每个单体具有恒定结合能的RNA或DNA的模型。 结果表明，有一个稳定的重新归一化组固定点，其中双聚合物从单链聚合物中解脱出来，并成为具有三点相互作用的常规类型的分支聚合物。要到达此固定点，必须调整至少一个参数。临界维度为八。在此限制下，Fisher-符号化，状态方程和关键指数。单链聚合物取决于双链聚合物，并在临界点消失，但具有其自身的关键指数。
We examine the statistics of conformations of a linear polymer in a solvent. The polymer is allowed to form double polymers. We closely follow a classical technique to derive a field theory for the problem from an $O\left(n\right)$ symmetric spin model. The field theory is a model for RNA or DNA with constant binding energy per monomer. It is shown that there is a stable renormalization group fixed point, at which the double polymer decouples from the single-strand polymer and becomes a branched polymer of the conventional type with a three-point interaction. To reach this fixed point, at least one parameter must be adjusted. The critical dimension is eight. Fisher-renormalization, equation of state and critical exponents are reproduced in this limit. The single-strand polymer depends on the double-strand polymer and disappears at the critical point, but has its own critical exponents.
