Polymer transport in random flow

Details Polymer transport in random flow Polymer transport in random flow

2004-10-19

arxiv.org/abs/nlin/0410035v1

J. Stat. Phys. 118, 531-554 (2005)

Nonlinear Sciences

Chaotic Dynamics

28 pages, 6 figures

Scientific paper

10.1007/s10955-004-8820-6

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.

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