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dc.contributor.author
Buceta, Ruben Carlos
dc.contributor.author
Hansmann, David
dc.contributor.author
Von Haeften, B.
dc.date.available
2016-11-15T19:27:10Z
dc.date.issued
2014-12
dc.identifier.citation
Buceta, Ruben Carlos; Hansmann, David; Von Haeften, B.; Revisiting random deposition with surface relaxation: Approaches from growth rules to Edwards-Wilkinson equation; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 12; 28; 12-2014; 1-16
dc.identifier.issn
1742-5468
dc.identifier.uri
http://hdl.handle.net/11336/8255
dc.description.abstract
We present several approaches for deriving the coarse-grained continuous Langevin equation (or Edwards-Wilkinson equation) from a random deposition with surface relaxation (RDSR) model. First we introduce a novel procedure to divide the first transition moment into the three fundamental processes involved: deposition, diffusion and volume conservation. We show how the diffusion process is related to antisymmetric contribution and the volume conservation process is related to symmetric contribution, which renormalizes to zero in the coarse-grained limit. In another approach, we find the coefficients of the continuous Langevin equation, by regularizing the discrete Langevin equation. Finally, in a third approach, we derive these coefficients from the set of test functions supported by the stationary probability density function (SPDF) of the discrete model. The applicability of the used approaches to other discrete random deposition models with instantaneous relaxation to a neighboring site is discussed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Iop Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Random Deposition with Surface Relaxation
dc.subject
Rdsr
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Coarse-Grained Approaches
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Langevin Equations
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Continuous Langevin Equation Coefficients
dc.subject
Generalized Function Theory
dc.subject.classification
Física de los Materiales Condensados
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Revisiting random deposition with surface relaxation: Approaches from growth rules to Edwards-Wilkinson equation
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-14T19:32:43Z
dc.journal.volume
12
dc.journal.number
28
dc.journal.pagination
1-16
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Buceta, Ruben Carlos. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Hansmann, David. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Von Haeften, B.. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
dc.journal.title
Journal Of Statistical Mechanics: Theory And Experiment
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1742-5468/2014/12/P12028/
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1742-5468/2014/12/P12028
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.7463v2
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