Probing universality classes in solid-on-solid deposition
Several stochastic processes corresponding to the physical solid-on-solid (SOS) deposition problem were analyzed. It was shown that the smoothing procedure could actually be applied to a large class of SOS deposition models, but the final linearization required the saturation of the roughness. It wa...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15393755_v70_n11_p011605_Castez |
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todo:paper_15393755_v70_n11_p011605_Castez2023-10-03T16:22:05Z Probing universality classes in solid-on-solid deposition Castez, M.F. Salvarezza, R.C. Solari, H.G. Boundary conditions Computer simulation Electrochemistry Interfaces (materials) Molecular beam epitaxy Monte Carlo methods Nanotechnology Partial differential equations Polynomials Probability Problem solving Random processes Surface phenomena Surface roughness Edwards-Wilkinson (EW) equation Scaling exponents Solid-on-solid (SOS) deposition Stochastic dynamical systems Deposition Several stochastic processes corresponding to the physical solid-on-solid (SOS) deposition problem were analyzed. It was shown that the smoothing procedure could actually be applied to a large class of SOS deposition models, but the final linearization required the saturation of the roughness. It was observed that the evolution of the roughness with time is insensitive to most features of the stochastic process if exception is made for the conditional flux and variance of the model. The results show that although all the models studied belong to the same universality class, some relevant features such as the final surface roughness are reproduced only for models within a restricted class determined by sharing the same mean and variance. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v70_n11_p011605_Castez |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Boundary conditions Computer simulation Electrochemistry Interfaces (materials) Molecular beam epitaxy Monte Carlo methods Nanotechnology Partial differential equations Polynomials Probability Problem solving Random processes Surface phenomena Surface roughness Edwards-Wilkinson (EW) equation Scaling exponents Solid-on-solid (SOS) deposition Stochastic dynamical systems Deposition |
spellingShingle |
Boundary conditions Computer simulation Electrochemistry Interfaces (materials) Molecular beam epitaxy Monte Carlo methods Nanotechnology Partial differential equations Polynomials Probability Problem solving Random processes Surface phenomena Surface roughness Edwards-Wilkinson (EW) equation Scaling exponents Solid-on-solid (SOS) deposition Stochastic dynamical systems Deposition Castez, M.F. Salvarezza, R.C. Solari, H.G. Probing universality classes in solid-on-solid deposition |
topic_facet |
Boundary conditions Computer simulation Electrochemistry Interfaces (materials) Molecular beam epitaxy Monte Carlo methods Nanotechnology Partial differential equations Polynomials Probability Problem solving Random processes Surface phenomena Surface roughness Edwards-Wilkinson (EW) equation Scaling exponents Solid-on-solid (SOS) deposition Stochastic dynamical systems Deposition |
description |
Several stochastic processes corresponding to the physical solid-on-solid (SOS) deposition problem were analyzed. It was shown that the smoothing procedure could actually be applied to a large class of SOS deposition models, but the final linearization required the saturation of the roughness. It was observed that the evolution of the roughness with time is insensitive to most features of the stochastic process if exception is made for the conditional flux and variance of the model. The results show that although all the models studied belong to the same universality class, some relevant features such as the final surface roughness are reproduced only for models within a restricted class determined by sharing the same mean and variance. |
format |
JOUR |
author |
Castez, M.F. Salvarezza, R.C. Solari, H.G. |
author_facet |
Castez, M.F. Salvarezza, R.C. Solari, H.G. |
author_sort |
Castez, M.F. |
title |
Probing universality classes in solid-on-solid deposition |
title_short |
Probing universality classes in solid-on-solid deposition |
title_full |
Probing universality classes in solid-on-solid deposition |
title_fullStr |
Probing universality classes in solid-on-solid deposition |
title_full_unstemmed |
Probing universality classes in solid-on-solid deposition |
title_sort |
probing universality classes in solid-on-solid deposition |
url |
http://hdl.handle.net/20.500.12110/paper_15393755_v70_n11_p011605_Castez |
work_keys_str_mv |
AT castezmf probinguniversalityclassesinsolidonsoliddeposition AT salvarezzarc probinguniversalityclassesinsolidonsoliddeposition AT solarihg probinguniversalityclassesinsolidonsoliddeposition |
_version_ |
1782027245170196480 |