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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2006

Single polymer dynamics in elongational flow and the confluent Heun equation

Résumé

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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Dates et versions

hal-00097758 , version 1 (22-09-2006)

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Dario Vincenzi, Eberhard Bodenschatz. Single polymer dynamics in elongational flow and the confluent Heun equation. Journal of Physics A: Mathematical and Theoretical, 2006, 39, pp.10691. ⟨10.1088/0305-4470/39/34/007⟩. ⟨hal-00097758⟩

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