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Article Dans Une Revue Journal of Statistical Physics Année : 2005

Polymer Transport in Random Flow

Résumé

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 -correlated model.

Dates et versions

hal-00013428 , version 1 (08-11-2005)

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Citer

Antonio Celani, S. Musacchio, D. Vicenzi. Polymer Transport in Random Flow. Journal of Statistical Physics, 2005, 118, pp.531-554. ⟨10.1007/s10955-004-8820-6⟩. ⟨hal-00013428⟩
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