Brunner Matthew, Deutsch J M
Department of Physics, University of California Santa Cruz, Santa Cruz, California 95064, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 1):011804. doi: 10.1103/PhysRevE.84.011804. Epub 2011 Jul 15.
The statistical mechanics of a linear noninteracting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This result is then compared to simulations done with a large number of noninteracting rigid links at fixed angular momentum. The simulation agrees with the theory up to finite-size corrections. The simulations are also used to investigate the anisotropic nature of a spinning polymer. We find universal scaling of the polymer size along the direction of the angular momentum, as a function of rescaled angular momentum.
考虑具有大量单体且角动量固定的线性非相互作用聚合物链的统计力学。通过泛函积分精确推导了线性聚合物的回转半径。然后将此结果与在固定角动量下用大量非相互作用刚性链节进行的模拟结果进行比较。该模拟与理论结果相符，直至有限尺寸修正。这些模拟还用于研究旋转聚合物的各向异性性质。我们发现，作为重标化角动量的函数，聚合物尺寸沿角动量方向呈现普遍标度。
