Phase-ordering and persistence: relative effects of space-discretization, chaos, and anisotropy

The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (Lemaitre, Chate, Phys. Rev. Lett. 82 (1999) 1140) are re visited with the help of detailed investigations of interface motion. It is shown that "normal", curvature-driven-like domain growth is recovered at l arger scales than considered before, and that the persistence exponent seem s to be universal. Using generalized persistence spectra, the properties of interface motion in this deterministic, chaotic, lattice system are found to "interpolate" between those of the two canonical reference systems, the (probabilistic) Ising model, and the (deterministic), space-continuous, tim e-dependent Ginzburg-Landau equation. (C) 2000 Elsevier Science B.V. All ri ghts reserved.