Polymer transport in random flow
摘要
The dynamics of polymers in a random smooth flow is investigated in the framework of the Hookean dumbbell model. The analytical expression of the time-dependent probability density function of polymer elongation is derived explicitly for a Gaussian, rapidly changing flow. When polymers are in the coiled state the pdf reaches a stationary state characterized by power-law tails both for small and large arguments compared to the equilibrium length. The characteristic relaxation time is computed as a function of the Weissenberg number. In the stretched state the pdf is unstationary and exhibits multiscaling. Numerical simulations for the two-dimensional Navier-Stokes flow confirm the relevance of theoretical results obtained for the delta-correlated model.
引用
@article{arxiv.nlin/0410035,
title = {Polymer transport in random flow},
author = {A. Celani and S. Musacchio and D. Vincenzi},
journal= {arXiv preprint arXiv:nlin/0410035},
year = {2009}
}
备注
28 pages, 6 figures