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 (19)

• Persistence exponents for fluctuating interfaces
• Nontrivial Exponent for Simple Diffusion
• Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary gaussian processes
• Statistics of tumbling of a single polymer molecule in shear flow
• Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model
• Experimental Persistence Probability for Fluctuating Steps
• Persistence in nonequilibrium surface growth
• Persistence of a particle in the Matheron-de Marsily velocity field
• Infinite family of persistence exponents for interface fluctuations
• Survival Probability in a Random Velocity Field
• Survival in equilibrium step fluctuations
• Persistence of Randomly Coupled Fluctuating Interfaces
• Polymers and manifolds in static random flows: a renormalization group study
• Polymer dynamics in time-dependent Matheron-de Marsily flows: An exactly solvable model
• Life and Death at the Edge of a Windy Cliff
• Survival of a Diffusing Particle in a Transverse Shear Flow: A First-Passage Problem with Continuously Varying Persistence Exponent
• Motion of a random walker in a quenched power law correlated velocity field
• Partial Survival and Crossing Statistics for a Diffusing Particle in a Transverse Shear Flow
• Survival of a Diffusing Particle in a Transverse Flow Field

Cited by in corpus (9)

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• Time correlations and persistence probability of a Brownian particle in a shear flow
• Persistence of an active asymmetric rigid Brownian particle in two dimensions
• Persistence in Advection of Passive Scalar
• Transport and tumbling of polymers in viscoelastic shear flow