Tumbling of Polymers in a Random Flow with Mean Shear
Abstract
A polymer placed in chaotic flow with large mean shear tumbles, making aperiodic 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 shearpreferred direction. The tails of this angular PDF are algebraic. The PDF of the tumbling time, $\tau$, has a maximum at the value estimated as inverse Lyapunov exponent of the flow. This PDF shows an exponential tail for large $\tau$ and a small$\tau$ tail determined by the simultaneous statistics of velocity PDF.
 Publication:

arXiv eprints
 Pub Date:
 November 2004
 DOI:
 10.48550/arXiv.condmat/0411704
 arXiv:
 arXiv:condmat/0411704
 Bibcode:
 2004cond.mat.11704C
 Keywords:

 Statistical Mechanics
 EPrint:
 submitted to Journal of Fluid Mechanics