Abstract.
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. umerical simulations for the two-dimensional Navier–Stokes flow confirm the relevance of theoretical results obtained for the δ-correlated model.
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Celani, A., Musacchio, S. & Vincenzi, D. Polymer Transport in Random Flow. J Stat Phys 118, 531–554 (2005). https://doi.org/10.1007/s10955-004-8820-6
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DOI: https://doi.org/10.1007/s10955-004-8820-6