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

共 50 条

[41] Solution Space Monodromy of a Special Double Confluent Heun Equation and Its Applications
S. I. Tertychniy
Theoretical and Mathematical Physics, 2019, 201 : 1426 - 1441
[42] The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation
Hall, Richard L.
Saad, Nasser
Bryenton, Kyle R.
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (10)
[43] The central two-point connection problem for the reduced confluent Heun equation
Kazakov, AY
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (10): : 2339 - 2348
[44] Solutions of a Confluent Modification of the General Heun Equation in Terms of Generalized Hypergeometric Functions
T. A. Ishkhanyan
A. M. Ishkhanyan
C. Cesarano
Lobachevskii Journal of Mathematics, 2023, 44 : 5258 - 5265
[45] Categories of Symmetry Groups of the Space of Solutions of the Special Doubly Confluent Heun Equation
Buchstaber, V. M.
Tertychnyi, S., I
MATHEMATICAL NOTES, 2021, 110 (5-6) : 643 - 654
[46] ELONGATIONAL FLOW OF POLYMER MELTS
STEVENSON, JF
AICHE JOURNAL, 1972, 18 (03) : 540 - +
[47] Polymer stretching in an elongational flow
Neumann, RM
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (15): : 7513 - 7515
[48] ON THE BEHAVIOR OF THE ELONGATIONAL VISCOSITY OF A NEMATIC POLYMER IN ELONGATIONAL FLOW
DIOGO, AC
MAKROMOLEKULARE CHEMIE-MACROMOLECULAR SYMPOSIA, 1988, 20-1 : 329 - 334
[49] POLYMER CONFORMATION IN ELONGATIONAL FLOW
RABIN, Y
JOURNAL OF CHEMICAL PHYSICS, 1988, 88 (06): : 4014 - 4017
[50] ELONGATIONAL FLOW OF POLYMER MELTS
JOHNSON, ED
MIDDLEMAN, S
POLYMER ENGINEERING AND SCIENCE, 1978, 18 (12): : 963 - 968

← 1 2 3 4 5 →