Persistence of a Rouse polymer chain under transverse shear flow

Abstract

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 $\theta =\mathrm{0.359...}$ obtained using an independent interval approximation is in excellent agreement with the numerical value $\theta \approx 0.360\pm 0.001$.

6 pages

References in corpus (4)

• Persistence in nonequilibrium surface growth
• Infinite family of persistence exponents for interface fluctuations
• Survival in equilibrium step fluctuations
• Partial Survival and Crossing Statistics for a Diffusing Particle in a Transverse Shear Flow

Cited by in corpus (3)

• Accurate statistics of a flexible polymer chain in shear flow
• The lower tail problem for homogeneous functionals of stable processes with no negative jumps
• Persistence in Advection of Passive Scalar