论文标题
在两个和三个维度上拉的聚合物拉链的定向步行模型的确切解决方案
Exact solutions of directed walk models of polymeric zipping with pulling in two and three dimensions
论文作者
论文摘要
我们使用成对的定向晶格路径对两个和三个维度提供了两个结合聚合物的拉链跃迁的简单模型的精确解。在三个维度中，解决方案是根据完整的椭圆积分编写的。我们分析与每个模型相关的相变，给出了分区函数的缩放。我们还将模型扩展到包括一对路径的一端之间的拉动力，该路径与聚合物之间有吸引力的单体传感器相互作用竞争。
We provide the exact solution of several variants of simple models of the zipping transition of two bound polymers, such as occurs in DNA/RNA, in two and three dimensions using pairs of directed lattice paths. In three dimensions the solutions are written in terms of complete elliptic integrals. We analyse the phase transition associated with each model giving the scaling of the partition function. We also extend the models to include a pulling force between one end of the pair of paths, which competes with the attractive monomer-monomer interactions between the polymers.
