Single polymer dynamics in elongational flow and the confluent Heun equation
D. Vincenzi, E. Bodenschatz
Abstract
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.
Create a lesson
Related papers
Sato-theoretic construction of the anti-self-dual Yang-Mills hierarchy and the Ward conjecture
Shangshuai Li, Da-jun Zhang
Direct linearization, Cauchy matrix and Sato Grassmannian
Kanehisa Takasaki
The transformations of the mToda hierarchy in tau functions
Wenchuang Guan, Shen Wang, Bailin Zhang et al.
Multiparameter Quantum Affine Spaces and the Scalene Yang--Baxter Equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
Long-time asymptotics of the integrable defocusing Wadati-Konno-Ichikawa equation with a finite-genus algebro-geometric background
Taohua Luo, Zhenya Yan, Guoqiang Zhang
New 5th-order Schwarzian evolution equations and their higher-order symmetries
Marianna Euler, Norbert Euler