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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Detalles Bibliográficos
Autor principal: Solari, Hernán Gustavo
Publicado: 2004
Materias:
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
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n11_p011605_Castez
http://hdl.handle.net/20.500.12110/paper_15393755_v70_n11_p011605_Castez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15393755_v70_n11_p011605_Castez
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spelling paper:paper_15393755_v70_n11_p011605_Castez2023-06-08T16:20:25Z Probing universality classes in solid-on-solid deposition Solari, Hernán Gustavo 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n11_p011605_Castez 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
Solari, Hernán Gustavo
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.
author Solari, Hernán Gustavo
author_facet Solari, Hernán Gustavo
author_sort Solari, Hernán Gustavo
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
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n11_p011605_Castez
http://hdl.handle.net/20.500.12110/paper_15393755_v70_n11_p011605_Castez
work_keys_str_mv AT solarihernangustavo probinguniversalityclassesinsolidonsoliddeposition
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