Single polymer dynamics in elongational flow and the confluent Heun equation

dc.creatorVincenzi, D.
dc.creatorBodenschatz, E.
dc.date2006-09-04
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:25:31Z
dc.date.available2026-07-07T07:25:31Z
dc.descriptionWe 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.
dc.description9 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/nlin/0609007
dc.identifierhttp://arxiv.org/abs/nlin/0609007
dc.identifierJ. Phys. A: Math. Gen., vol. 39, pp. 10691-10701 (2006)
dc.identifierdoi:10.1088/0305-4470/39/34/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116741
dc.subjectExactly Solvable and Integrable Systems
dc.subjectSoft Condensed Matter
dc.subjectMathematical Physics
dc.titleSingle polymer dynamics in elongational flow and the confluent Heun equation
dc.typetext

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