https://doi.org/10.1007/s100510070110
Roughness scaling and sensitivity to initial conditions in a symmetric restricted ballistic deposition model
Departamento de Física, Universidade Federal de Alagoas,
Maceió-AL, 57072-970, Brazil
Received:
26
May
2000
Published online: 15 October 2000
In this work, we introduce a restricted ballistic deposition model
with symmetric growth rules that favors the formation of local finite
slopes. It is the simplest model which, even without including a
diffusive relaxation mode of the interface, leads to a macroscopic
groove instability. By employing a finite-size scaling of numerical
simulation data, we determine the scaling behavior of the surface
structure grown over a one-dimensional substrate of linear size
L. We found that the surface profile develops a macroscopic groove
with the asymptotic surface width scaling as 
, with 
. The early-time dynamics
is governed by the scaling law 
, with 
. We further investigate the sensitivity to initial conditions of
the present model by applying damage spreading techniques. We find
that the early-time distance between two initially close surface
configurations grows in a ballistic fashion as 
, but a
slower Brownian-like scaling (
) sets up for
evolution times much larger than a characteristic time scale
.
PACS: 05.70.Np – Interface and surface thermodynamics / 68.35.Ct – Interface structure and roughness / 81.15.Aa – Theory and models of film growth
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
