A Theory of Dielectric Relaxation of Polymeric Chains Based upon Time-Dependent Ising Model

概要

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Dielectric relaxation of model polymer chain on a two dimensional square lattice is studied by an approach similar to the Glauber Theory. The elementary process of micro-Brownian motion is assumed to consist of local flip of bonds in which bond angles are kept constant during the transition, and the associated stochastic process is assumed to be Markoffian. The expectation values of bond vectors can be analysed in terms of several normal modes k (1≦k≦N, N being the number of bonds in a chain). The modes with k&≃1 correspond to those of the bead-and-spring model of Zimm. The modes with k&≃N correspond to the changes of end-to-end vector R in the transverse direction to the applied field, which have no counterpart in the bead-and-spring model. These results suggest that the dielectric behavior of flexible polar macromolecules in dilute solution is characterized by the equilibrium correlation tensor <MR>_0 of total dipole moment M and R of the macromolecule.
社団法人応用物理学会の論文
1972-11-05