The effect of shear on persistence in coarsening systems

TL;DR

This paper analytically investigates how uniform shear flow influences the persistence and autocorrelation properties of coarsening systems using the anisotropic OJK approximation, revealing non-trivial effects on persistence exponents.

Contribution

It provides the first analytical calculation of persistence exponents under shear in coarsening systems within the OJK framework.

Findings

Persistence exponent in d=3 is approximately 0.5034.

Persistence exponent in d=2 is approximately 0.2406, twice the 1D unsheared value.

Autocorrelation exponent is affected by shear in d=3 but not in d=2.

Abstract

We analytically study the effect of a uniform shear flow on the persistence properties of coarsening systems. The study is carried out within the anisotropic Ohta-Jasnow-Kawasaki (OJK) approximation for a system with nonconserved scalar order parameter. We find that the persistence exponent theta has a non-trivial value: theta = 0.5034... in space dimension d=3, and theta = 0.2406... for d=2, the latter being exactly twice the value found for the unsheared system in d=1. We also find that the autocorrelation exponent lambda is affected by shear in d=3 but not in d=2.