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Single polymer dynamics in elongational flow and the confluent Heun equation

D. Vincenzi·E. Bodenschatz
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Abstract

We investigate the non-equilibrium dynamics of an isolated polymer in a stationary elongational flow. We compute the relaxation time to the steady-state configuration as a function of the Weissenberg number. A strong increase of the relaxation time is found around the coil-stretch transition, which is attributed to the large number of polymer configurations. The relaxation dynamics of the polymer is solved analytically in terms of a central two-point connection problem for the singly confluent Heun equation.

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D. Vincenzi, E. Bodenschatz. 2006-11-28. Single polymer dynamics in elongational flow and the confluent Heun equation. https://doi.org/10.1088/0305-4470%2F39%2F34%2F007

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