Linear growth equation with spatiotemporally correlated noise to describe the meandering instability

Ajmi Bhadj Hamouda; A. Pimpinelli; F. Nita

doi:10.1088/1742-6596/100/7/072009

Linear growth equation with spatiotemporally correlated noise to describe the meandering instability

Ajmi Bhadj Hamouda, A. Pimpinelli, F. Nita

Houston Methodist

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Article number	072009
Journal	Journal of Physics: Conference Series
Volume	100
Issue number	PART 7
DOIs	https://doi.org/10.1088/1742-6596/100/7/072009
State	Published - Mar 1 2008

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1742-6596/100/7/072009

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title = "Linear growth equation with spatiotemporally correlated noise to describe the meandering instability",

abstract = "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.",

author = "Hamouda, \{Ajmi Bhadj\} and A. Pimpinelli and F. Nita",

note = "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.",

year = "2008",

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doi = "10.1088/1742-6596/100/7/072009",

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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.

UR - https://www.scopus.com/pages/publications/77954337186

UR - https://www.scopus.com/inward/citedby.url?scp=77954337186&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/100/7/072009

DO - 10.1088/1742-6596/100/7/072009

M3 - Article

AN - SCOPUS:77954337186

SN - 1742-6588

VL - 100

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - PART 7

M1 - 072009

ER -

Linear growth equation with spatiotemporally correlated noise to describe the meandering instability

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