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Chain Dynamics

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Helical Wormlike Chains in Polymer Solutions

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Abstract

This chapter presents the foundation of the dynamics of unperturbed polymer chains in dilute solution on the basis of dynamic HW chain models within the framework of linear response theory. It is evident that the original (continuous) HW chain is not valid as a dynamic model; the discreteness must be, to some extent, recovered to introduce motional units into the chain. Thus diffusion equations for a time-dependent distribution function for the (constrained) chain are derived so as to be suitable for the treatments of its local and also global (to quasi-global) motions. The eigenvalue problems and time-correlation functions associated with the diffusion operators are then formulated by introducing several unavoidable approximations. Their applications to various dynamical properties are made in the next chapter. It is pertinent and instructive to begin by giving a general consideration of some aspects of polymer dynamics, followed by a brief description of the dynamics of conventional constrained bond chains.

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Authors and Affiliations

  1. Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto, Japan

    Hiromi Yamakawa & Takenao Yoshizaki

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  1. Hiromi Yamakawa
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  2. Takenao Yoshizaki
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Yamakawa, H., Yoshizaki, T. (2016). Chain Dynamics. In: Helical Wormlike Chains in Polymer Solutions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48716-7_10

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