【作者】 李剑锋； 龚欢； 张红东； 邱枫； 杨玉良； 史安昌；

【Author】 Jianfeng Li;Huang Gong;Hongdong Zhang;Feng Qiu;Yuliang Yang;An-Chang Shi;Department of Macromolecular Science,Fudan University;Department of Physics and Astronomy,McMaster University;

【机构】 复旦大学高分子科学系； 加拿大麦克马斯特大学物理天文系；

【摘要】 本工作用场论方法研究了一根高斯链在n根柱的静态拓扑受限下的拉伸行为。通过在具有n-生成元自由群对称性的超空间里求解链末端扩散方程,求得不同静态拓扑受限下的拉伸力曲线。发现力主要来源于三部分,第一部分来源于熵弹性,线性依赖于伸长;第二部分来源于隐藏拉伸长度,由绕柱圈数及柱半径决定;第三项为纯粹的拓扑项,完全取决拓扑受限模式,由缠结模式的拓扑电荷决定,并反比于拉伸长度。拓扑电荷揭示了高斯链静态缠结本质。更多还原

【Abstract】 This work systematically studies a Gaussian chain entangling with n poles by a field-theoretic approach.The force-extension curves are calculated by examining the diffusion of the segment probability in a super space with a structure isomorphic to an n-generator free group.There are mainly three contributions to the recovering force:(i) the entropic-spring term that linearly depends on the extension,(ii) the hidden-extension term that depends on the pole size and the total winding number,and(iii) the pure topological term that linearly depends on the topological charge and the inverse of the extension.The topological charge reveals the nature of the static entanglement of a Gaussian chain.更多还原