2004/11/28 by M. Chertkov, Chertkov, M., I. Kolokolov +5
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0411704
submitted to Journal of Fluid Mechanics
arxiv created 2004/11/28 · arxiv updated 2009/12/01
A polymer placed in chaotic flow with large mean shear tumbles, making a-periodic flips. We describe the statistics of angular orientation, as well as of tumbling time (separating two subsequent flips) of polymers in this flow. The probability distribution function (PDF) of the polymer orientation is peaked around a shear-preferred direction. The tails of this angular PDF are algebraic. The PDF of the tumbling time, τ, has a maximum at the value estimated as inverse Lyapunov exponent of the flow. This PDF shows an exponential tail for large τ and a small-τ tail determined by the simultaneous statistics of velocity PDF.