# Persistence of a Rouse polymer chain under transverse shear flow

### Somnath Bhattacharya 1, Dibyendu Das 1, Satya N. Majumdar 2

#### Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 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 $\theta\approx 0.360\pm 0.001$.

• 1. Department of Physics,
Indian Institute of Technology
• 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI - Paris Sud