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

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

2000-04-26

arxiv.org/abs/cond-mat/0004429v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, to be published in Physica A

Scientific paper

10.1016/S0378-4371(00)00430-1

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.

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