Lee Nam-Kyung, Abrams Cameron F, Johner A, Obukhov S
Laboratoire Européen Associé ICS Strasbourg, France)/MPIP(Mainz, Germany).
Phys Rev Lett. 2003 Jun 6;90(22):225504. doi: 10.1103/PhysRevLett.90.225504.
Upon aging, a collapsed long chain evolves from a crumpled state to a self-entangled globule which can be thought of as a large knot. Swelling of an equilibrium globule in good solvent is a two-step process: (i) fast swelling into an arrested stretched structure with conserved entanglement topology followed by (ii) slow disentanglement. Using computer simulation, we found both mass-mass (m-m) and entanglement-entanglement (e-e) power law correlations inside the swollen globule. The m-m correlations are characterized by a set of two exponents in agreement with a Flory-type argument. The e-e correlations are also characterized by two exponents, both of them larger (by approximately 0.3) than the related m-m exponents. We interpret this difference as evidence of distance-dependent repulsion E=-0.3ln((rho)k(B)T between entanglements sliding along the polymer chain.
随着老化，一条塌陷的长链从皱缩状态演变为一个自缠结球体，可将其视为一个大结。在良溶剂中平衡球体的溶胀是一个两步过程：(i) 快速溶胀成具有保守缠结拓扑结构的受阻拉伸结构，随后是 (ii) 缓慢解缠。通过计算机模拟，我们在溶胀球体内部发现了质量-质量（m-m）和缠结-缠结（e-e）幂律相关性。m-m 相关性由一组两个指数表征，这与弗洛里型论证一致。e-e 相关性也由两个指数表征，它们都比相关的 m-m 指数大（约 0.3）。我们将这种差异解释为沿聚合物链滑动的缠结之间距离依赖性排斥力 E = -0.3ln((rho)k(B)T 的证据。
