Coarsening in surface growth models without slope selection

Citation
P. Politi et A. Torcini, Coarsening in surface growth models without slope selection, J PHYS A, 33(8), 2000, pp. L77-L82
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
8
Year of publication
2000
Pages
L77 - L82
Database
ISI
SICI code
0305-4470(20000303)33:8<L77:CISGMW>2.0.ZU;2-P
Abstract
We study conserved models of crystal growth in one dimension (delta(t)z(x, t) = -delta(x)j(x,t)) which are linearly unstable and develop a mound struc ture whose typical size L increases in time (L similar to t(n)) If the loca l slope (m = delta(x)z) increases indefinitely, n depends on the exponent g amma characterizing the large-m behaviour of the surface current j (j simil ar to 1/\m\(gamma)): n = 1/4 for 1 less than or equal to gamma less than or equal to 3 and n = (1 + gamma)/(1 + 5 gamma) for gamma > 3.