Inelastic scattering techniques and computer simulations provide important means to study the dynamics of polymeric materials via analyses of spatiotemporal correlations of density and concentration fluctuations. However, interpreting such dynamic correlations is often challenging, as the molecular motions of polymers encompass a wide range of time and length scales. In this talk, we outline a powerful and model-independent approach to polymer dynamics, which focuses on analyzing the spatial correlations of density fluctuations. This method is complementary to the traditional paradigm of time correlation analysis at discrete wave numbers. Applications of the proposed spatial correlation analysis will be discussed in the context of our recent studies of equilibrium dynamics of entangled polymers as well as Brownian motions of polymers under flow.

Spatial correlations of polymer dynamics: Going beyond the paradigm of time correlation analysis

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