Single polymer dynamics in elongational flow and the confluent Heun equation
arXiv:nlin/0609007 · doi:10.1088/0305-4470/39/34/007
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.
9 pages, 6 figures
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Cited by in corpus (4)
- Dynamical Slowdown of Polymers in Laminar and Random Flows
- On the Peterlin approximation for turbulent flows of polymer solutions
- Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
- Generalized confluent hypergeometric solutions of the Heun confluent equation