Coarsening in surface growth models without slope selection
| dc.creator | Politi, Paolo | |
| dc.creator | Torcini, Alessandro | |
| dc.date | 2000-01-24 | |
| dc.date.accessioned | 2026-07-07T06:24:01Z | |
| dc.date.available | 2026-07-07T06:24:01Z | |
| dc.description | We study conserved models of crystal growth in one dimension [$\partial_t z(x,t) =-\partial_x j(x,t)$] which are linearly unstable and develop a mound structure whose typical size L increases in time ($L = t^n$). If the local slope ($m =\partial_x z$) increases indefinitely, $n$ depends on the exponent $γ$ characterizing the large $m$ behaviour of the surface current $j$ ($j = 1/|m|^γ$): $n=1/4$ for $1< γ<3$ and $n=(1+γ)/(1+5γ)$ for $γ>3$. | |
| dc.description | 7 pages, 2 EPS figures. To be published in J. Phys. A (Letter to the Editor) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0001337 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0001337 | |
| dc.identifier | J. Phys. A: Math. Gen. 33, L77-L82 (2000) | |
| dc.identifier | doi:10.1088/0305-4470/33/8/102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96409 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Coarsening in surface growth models without slope selection | |
| dc.type | text |