论文标题
渗透簇上的环聚合物
Ring polymers on percolation clusters
论文作者
论文摘要
在目前的工作中，研究了结构无序环境中的环状聚合物链（环）（例如，在交联聚合物凝胶中），利用了$ d = 3 $ dimensimensional percolational percolation percolation percolation percolation percolation percolation percolation percolation percolation percolation clusters的封闭自我避免行走（SAWS）轨迹的模型。使用枢轴算法应用的数值模拟。获得了通用大小和形状特征（例如尺寸比率，平均非球面性和典型聚合物构象的延展性）的估计值。我们的结果定量地描述了与纯溶剂相比，环境无序环境中环形聚合物各向异性的增加。
In the present work, the cyclic polymer chains (rings) in structurally disordered environment (e.g. in the cross-linked polymer gel) are studied exploiting the model of closed self-avoiding walks (SAWs) trajectories on $d=3$-dimensional percolation clusters. Numerical simulations with an application of pivot algorithm are performed. The estimates for the universal size and shape characteristics such as size ratios, averaged asphericity and prolateness of typical polymer conformation are obtained. Our results quantitatively describe an elongation and increase of anisotropy of ring polymers in disordered environment comparing with the pure solvent.
