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

Abstract

The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (A. Lema\^ıtre & H. Chaté, {\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.

13 pages, to be published in Physica A

References in corpus (5)

• Persistence in Nonequilibrium Systems
• Large deviations and nontrivial exponents in coarsening systems
• Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices
• Block persistence
• Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

Cited by in corpus (6)

• Dynamical failure of Turing patterns
• Comment on ``Deterministic equations of motion and phase ordering dynamics''
• Phase Ordering in Chaotic Map Lattices with Additive Noise
• Phase separation in coupled chaotic maps on fractal networks
• Phase growth in bistable systems with impurities
• Phase ordering induced by defects in chaotic bistable media