Dynamics and conformation of polymer chains in a porous medium

Conformational and transport properties of polymer chains in a porous medium are studied using computer simulations. Two types of links between the consecutive nodes of the self-avoiding walk (SAW) chains are considered: (i) constant bond and (ii) flexible (fluctuating) bond. In addition to normal diffusive motion for the global transport of chains, we observe unusual nondiffusive transport phenomena such as subdiffusive power-law dependence of the rms displacement (Rᵣₘₛ) of the chain with time (t), i.e., Rᵣₘₛ=Atᵏ with an exponent k less than 1/2 at low porosity. In two dimensions, we find that the power-law exponent k is nonuniversal as it depends on the barrier concentration (pb) and the chain length (Lc) with the magnitude of k{}0.0-0.5. The chains with flexible bonds exhibit better relaxation with the value of k slightly higher than that for the chains with constant bonds at low porosities. The subdiffusion constant A shows a nonuniversal power-law dependence on the chain length, A{~}Lc^-α, with {α}{}0.28-1.85 for chains with constant bond, and 0.33-1.27 for chains with flexible bonds. A similar but less pronounced effect of impurity barriers is also observed in three dimensions. The radius of gyration of the chains is affected by the presence of barriers; characteristics of the crossover from a SAW to collapse conformations are reported, along with the anomalous conformation as a function of barrier concentration. {} 1996 The American Physical Society.