1 research outputs found
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 (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf
82}, 1140 (1999)) are revisited with the help of detailed investigations of
interface motion. It is shown that ``normal'', curvature-driven-like domain
growth is recovered at larger scales than considered before, and that the
persistence exponent seems 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, time-dependent Ginzburg-Landau equation.Comment: 13 pages, to be published in Physica