Single polymer dynamics in elongational flow and the confluent Heun equation

被引：14

作者：

Vincenzi, D. ^{[1
]}

Bodenschatz, E.

机构：

[1] Max Planck Inst Dynam & Selbstorg, D-37077 Gottingen, Germany

[2] Cornell Univ, Sch Mech & Aerosp Engn, Ithaca, NY 14853 USA

[3] Cornell Univ, LASSP, Ithaca, NY 14853 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 34期

关键词：

D O I：

10.1088/0305-4470/39/34/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：10691 / 10701

页数：11

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