The effect of shear on persistence in coarsening systems

Details The effect of shear on persistence in coarsening systems The effect of shear on persistence in coarsening systems

2006-01-16

arxiv.org/abs/cond-mat/0601352v1

Phys. Rev. E 73, 046123 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1103/PhysRevE.73.046123

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.

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