Accurate statistics of a flexible polymer chain in shear flow

Details Accurate statistics of a flexible polymer chain in shear flow Accurate statistics of a flexible polymer chain in shear flow

2008-09-12

arxiv.org/abs/0809.2131v2

Phys. Rev. Lett. 101, 188301 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures. Minor changes. Texts differ slightly from the PRL published version

Scientific paper

10.1103/PhysRevLett.101.188301

We present exact and analytically accurate results for the problem of a flexible polymer chain in shear flow. Under such a flow the polymer tumbles, and the probability distribution of the tumbling times $\tau$ of the polymer decays exponentially as $\sim \exp(-\alpha \tau/\tau_0)$ (where $\tau_0$ is the longest relaxation time). We show that for a Rouse chain, this nontrivial constant $\alpha$ can be calculated in the limit of large Weissenberg number (high shear rate) and is in excellent agreement with our simulation result of $\alpha \simeq 0.324$. We also derive exactly the distribution functions for the length and the orientational angles of the end-to-end vector of the polymer.

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