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Polymer dynamics in chaotic flows with strong shear component

2005/01/11 by Konstantin Turitsyn, K. S. Turitsyn, Turitsyn, K. S. · 3 citations
Chemical Engineering · Engineering · Physics and Astronomy · #Acoustics #Artificial intelligence #Chaotic #Chaotic Dynamics (nlin.CD) #Component (thermodynamics) #Composite material #Computer science #Dynamics (music) #FOS: Physical sciences #Materials science #Mechanics #Physics #Polymer #Rheology and Fluid Dynamics Studies #Shear (geology) #Sports Dynamics and Biomechanics #Statistical physics #Thermodynamics #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0501025

published in arXiv (Cornell University) (Cornell University) · 7 pages, 1 figure, submitted to Phys. Rev. E

arxiv created 2005/01/11 · openalex publication_date 2005/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the internal dynamics of the polymer molecule which is injected in the chaotic flow with strong mean shear component. The flow geometry corresponds to the recent experiments on the elastic turbulence (Groisman, Steinberg 2000). The passive polymer in such flows experiences aperiodic tumbling. We present a detailed study of the statistical properties of such polymer dynamics. First we obtain the stationary probability distribution function of the polymer orientation. Secondly we find the distribution of the time periods between consequent events of tumbling, and finally we find the tails of the polymer size distribution.

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