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Helical Wormlike Chains in Polymer Solutions pp 437–477Cite as

Dynamical Properties

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Abstract

In this chapter various dynamical properties of unperturbed polymer chains in dilute solution in the regime of linear response are evaluated by the use of the time-correlation functions formulated in Chap. 10 on the basis of the dynamic HW chain. They include dielectric relaxation, nuclear magnetic relaxation, fluorescence depolarization, dynamic light scattering, and so on for both flexible and semiflexible polymers. Evaluation is carried out for the d-HW chain except for the first cumulant of the dynamic structure factor, which is evaluated for the c-HW chain. The eigenvalues are evaluated in the crude and also higher-order subspace approximations for the flexible d-HW chain but only in the crude approximation for the stiff d-HW chain and the c-HW chain. All dynamical properties considered in this chapter concern local chain motions except in the cases of the dielectric and nuclear magnetic relaxation of semiflexible polymers and the first cumulant. A comparison of theory with experiment is made rather in detail along with a discussion of the approximations introduced in Chap. 10.

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  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). Dynamical Properties. In: Helical Wormlike Chains in Polymer Solutions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48716-7_11

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