Coarsening of a class of driven striped structures

Citation
Mr. Evans et al., Coarsening of a class of driven striped structures, PHYS REV E, 62(6), 2000, pp. 7619-7626
Citations number
39
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
6
Year of publication
2000
Part
A
Pages
7619 - 7626
Database
ISI
SICI code
1063-651X(200012)62:6<7619:COACOD>2.0.ZU;2-F
Abstract
The coarsening process in a class of driven systems exhibiting striped stru ctures is studied. The dynamics is governed by the motion of the driven int erfaces between the stripes. When two interfaces meet they coalesce thus gi ving rise to a coarsening process in which l(t), the average width of a str ipe, grows with time. This is a generalization of the reaction-diffusion pr ocess A + A --> A to the case of extended coalescing objects, namely, the i nterfaces. Scaling arguments which relate the coarsening process to the evo lution of a single driven interface are given, yielding growth laws for l(t ), for both short and long times. We introduce a simple microscopic model f or this process. Numerical simulations of the model confirm the scaling pic ture and growth laws. The results are compared to the case where the stripe s are not driven and different growth laws arise.