论文标题
共聚环的热力学和拓扑特性，具有分离/混合过渡
Thermodynamic and topological properties of copolymer rings with a segregation/mixing transition
论文作者
论文摘要
如果单体中的单体之间存在强烈的排斥，则在空间中彼此接近的两个环聚合物可以在隔离相，如果单体之间有很强的吸引力，则可以在混合相中混合。这些阶段由具有$θ$点字符的临界点分开。环聚合物的度量和拓扑特性取决于相位，并且可能在临界点突然改变。在本文中，我们使用两个多边形的立方晶格模型在隔离和混合相的空间中关闭两个环的两个环聚合物的热力学和连接，彼此相互作用。我们的结果表明，在隔离阶段，连接的概率很低，但是随着模型将模型带入混合阶段，它通过临界点增加。我们还检查了模型的度量和热力学特性，重点是平均拓扑复杂性如何与这些特性相关。
Two ring polymers close to each other in space may be either in a segregated phase if there is a strong repulsion between monomers in the polymers, or intermingle in a mixed phase if there is a strong attractive force between the monomers. These phases are separated by a critical point which has a $θ$-point character. The metric and topological properties of the ring polymers depend on the phase, and may change abruptly at the critical point. In this paper we examine the thermodynamics and linking of two ring polymers close in space in both the segregated and mixed phases using a cubic lattice model of two polygons interacting with each other. Our results show that the probability of linking is low in the segregated phase, but that it increases through the critical point as the model is taken into the mixed phase. We also examine the metric and thermodynamic properties of the model, with focus on how the averaged measures of topological complexity are related to these properties.
