论文信息 - Relaxation Behavior of the Freely Jointed Chain

Relaxation Behavior of the Freely Jointed Chain

A method is presented for treating the relaxation behavior of the freely jointed chain model of a random coil polymer. Exact results are exhibited for the relaxation of quantities linear in chain coordinates. For the treatment of quantities quadratic in chain coordinates, a numerical approach is employed and exemplified by obtaining the autocorrelation in the square of end‐to‐end length for chains of up to 16 beads. In both cases, the rapid approach of the behavior of the freely jointed chain of N beads to that of the Rouse model of N statistical segments is demonstrated.

Peter H. Verdier | P. H. Verdier

[1] P. E. Rouse. A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers , 1953 .

[2] Kazuyoshi Iwata,et al. Brownian Motion of Lattice‐Model Polymer Chains , 1969 .

[3] J. Doob. Stochastic processes , 1953 .

[4] Peter H. Verdier,et al. Monte Carlo Studies of Lattice‐Model Polymer Chains. I. Correlation Functions in the Statistical‐Bead Model , 1966 .

[5] S. Chandrasekhar. Stochastic problems in Physics and Astronomy , 1943 .

[6] Walter H. Stockmayer,et al. Monte Carlo Calculations on the Dynamics of Polymers in Dilute Solution , 1962 .

[7] B. Zimm. Dynamics of Polymer Molecules in Dilute Solution: Viscoelasticity, Flow Birefringence and Dielectric Loss , 1956 .

[8] N. Wax,et al. Selected Papers on Noise and Stochastic Processes , 1955 .