The correlation of concentration fluctuations in semi-dilute and concentrated polymer solutions decays with time by two mechanisms. One is the diffusion of polymer and solvent molecules due to gradients of their chemical potentials, and the other is the deformation of polymer chains due to the stress generated by disturbances of their equilibrium distributions. Thus, the dynamic structure factor S (q, t), measured by dynamic light scattering as a function of time t and the magnitude of scattering vector q, could be related to the viscoeleastic behavior of polymer solutions in the entangled region. This idea was first worked out by Brochard and also by Adam and Delsanti and recently has gained a renewed interest leading to many theoretical and experimental studies. Among the results so far reported, two typical formulations of S (q, t), one by Onuki (and also by Doi and Onuki) and the other by Wang, are of particular interest, because they make conflicting predictions. Thus, Wang's theory concludes that the stress effect on S (q, t) vanishes in systems where the polymer and solvent components have the same partial specific volumes, while Onuki's theory denies such a conclusion. Experimentally, Brown et al. support Onuki's, but Wang et al. do not yield by presenting experimental data that favor Wang's. The dispute between the two groups yet remains undecided. This review article summarizes and discusses recent contributions, both in theory and in experiment, to S (q, t) of semi-dilute and concentrated polymer solutios. The presentation includes our formulation and new experimental results by Einaga and Karube.
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