Single polymer dynamics in elongational flow and the confluent Heun equation

Details Single polymer dynamics in elongational flow and the confluent Heun equation Single polymer dynamics in elongational flow and the confluent Heun equation

2006-09-04

arxiv.org/abs/nlin/0609007v2

J. Phys. A: Math. Gen., vol. 39, pp. 10691-10701 (2006)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 6 figures

Scientific paper

10.1088/0305-4470/39/34/007

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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