Roughness exponents and grain shapes

dc.creatorOliveira, T. J.
dc.creatorReis, F. D. A. Aarao
dc.date2018-05-03T18:05:46Z
dc.date2018-05-03T18:05:46Z
dc.date2011-04-20
dc.date.accessioned2023-09-27T20:48:08Z
dc.date.available2023-09-27T20:48:08Z
dc.identifier2470-0053
dc.identifierhttps://doi.org/10.1103/PhysRevE.83.041608
dc.identifierhttp://www.locus.ufv.br/handle/123456789/19315
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8948245
dc.descriptionIn surfaces with grainy features, the local roughness w shows a crossover at a characteristic length rc, with roughness exponent changing from α1≈1 to a smaller α2. The grain shape, the choice of w or height-height correlation function (HHCF) C, and the procedure to calculate root-mean-square averages are shown to have remarkable effects on α1. With grains of pyramidal shape, α1 can be as low as 0.71, which is much lower than the previous prediction 0.85 for rounded grains. The same crossover is observed in the HHCF, but with initial exponent χ1≈0.5 for flat grains, while for some conical grains it may increase to χ1≈0.7. The universality class of the growth process determines the exponents α2=χ2 after the crossover, but has no effect on the initial exponents α1 and χ1, supporting the geometric interpretation of their values. For all grain shapes and different definitions of surface roughness or HHCF, we still observe that the crossover length rc is an accurate estimate of the grain size. The exponents obtained in several recent experimental works on different materials are explained by those models, with some surface images qualitatively similar to our model films.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherRoughness exponents and grain shapes
dc.relationVol. 83, Issue 4, p. 1-7, April 2011
dc.rightsAmerican Physical Society
dc.subjectRoughness
dc.subjectExponents
dc.subjectGrain shapes
dc.titleRoughness exponents and grain shapes
dc.typeArtigo


Este ítem pertenece a la siguiente institución