Persistence of a Rouse polymer chain under transverse shear flow

Details Persistence of a Rouse polymer chain under transverse shear flow Persistence of a Rouse polymer chain under transverse shear flow

2007-05-09

arxiv.org/abs/0705.1250v1

Phys. Rev. E, 75, 061122 (2007).

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1103/PhysRevE.75.061122

We consider a single Rouse polymer chain in two dimensions in presence of a transverse shear flow along the $x$ direction and calculate the persistence probability $P_0(t)$ that the $x$ coordinate of a bead in the bulk of the chain does not return to its initial position up to time $t$. We show that the persistence decays at late times as a power law, $P_0(t)\sim t^{-\theta}$ with a nontrivial exponent $\theta$. The analytical estimate of $\theta=0.359...$ obtained using an independent interval approximation is in excellent agreement with the numerical value $\theta\approx 0.360\pm 0.001$.

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