TY - JOUR
T1 - Linear growth equation with spatiotemporally correlated noise to describe the meandering instability
AU - Hamouda, Ajmi Bhadj
AU - Pimpinelli, A.
AU - Nita, F.
N1 - Funding Information:
We thank T.L Einstein for a very careful and critical reading of the manuscript and Philip Hoggan for useful discussions. ABH work at U. of Maryland is supported by NSF MRSEC Grant DMR 05-20471.
PY - 2008/3/1
Y1 - 2008/3/1
N2 - Abstract: We present analytical and kinetic Monte Carlo simulation (KMC) study for the (2+1) dimensional discrete growth model. A non-local, phenomenological continuum equation describing surface growth in unstable systems with anomalous scaling is proposed. The roughness of the unstable surface, originated from an Ehrlich-Schwoebel (ES) barrier, is then studied under various deposition fluxes. The induced meandering instability is found, unexpectedly, to be described by a linear growth continuum equation but with spatiotemporally correlated noise.
AB - Abstract: We present analytical and kinetic Monte Carlo simulation (KMC) study for the (2+1) dimensional discrete growth model. A non-local, phenomenological continuum equation describing surface growth in unstable systems with anomalous scaling is proposed. The roughness of the unstable surface, originated from an Ehrlich-Schwoebel (ES) barrier, is then studied under various deposition fluxes. The induced meandering instability is found, unexpectedly, to be described by a linear growth continuum equation but with spatiotemporally correlated noise.
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U2 - 10.1088/1742-6596/100/7/072009
DO - 10.1088/1742-6596/100/7/072009
M3 - Article
AN - SCOPUS:77954337186
VL - 100
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - PART 7
M1 - 072009
ER -