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
收藏
页码：10691 / 10701
页数：11
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