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Artículo

Revisiting random deposition with surface relaxation: Approaches from growth rules to Edwards-Wilkinson equation

Buceta, Ruben CarlosIcon ; Hansmann, DavidIcon ; Von Haeften, B.
Fecha de publicación: 12/2014
Editorial: Iop Publishing
Revista: Journal Of Statistical Mechanics: Theory And Experiment
ISSN: 1742-5468
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Física de los Materiales Condensados

Resumen

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.
Palabras clave: Random Deposition with Surface Relaxation , Rdsr , Coarse-Grained Approaches , Langevin Equations , Continuous Langevin Equation Coefficients , Generalized Function Theory
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/8255
URL: http://iopscience.iop.org/1742-5468/2014/12/P12028/
DOI: http://dx.doi.org/10.1088/1742-5468/2014/12/P12028
URL: https://arxiv.org/abs/1409.7463v2
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Articulos(IFIMAR)
Articulos de INST.DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Citación
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
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