Optimal detrended fluctuation analysis as a tool for the determination of the roughness exponent of the mounded surfaces

Physical Review. E
Edwin E Mozo LuisS C Ferreira

Abstract

We present an optimal detrended fluctuation analysis (DFA) and apply it to evaluate the local roughness exponent in nonequilibrium surface growth models with mounded morphology. Our method consists in analyzing the height fluctuations computing the shortest distance of each point of the profile to a detrending curve that fits the surface within the investigated interval. We compare the optimal DFA (ODFA) with both the standard DFA and nondetrended analysis. We validate the ODFA method considering a one-dimensional model in the Kardar-Parisi-Zhang universality class starting from a mounded initial condition. We applied the methods to the Clarke-Vvedensky (CV) model in 2+1 dimensions with thermally activated surface diffusion and absence of step barriers. It is expected that this model belongs to the nonlinear molecular beam epitaxy (nMBE) universality class. However, an explicit observation of the roughness exponent in agreement with the nMBE class was still missing. The effective roughness exponent obtained with ODFA agrees with the value expected for the nMBE class, whereas using the other methods it does not agree. We also characterize the transient anomalous scaling of the CV model and obtained that the corresponding exponen...Continue Reading

References

Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P I Tamborenea, Das Sarma S
Feb 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C K PengA L Goldberger
Jan 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics· Das Sarma SS V Ghaisas
May 15, 1996·Physical Review. B, Condensed Matter·M Kotrla, P Smilauer
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
May 6, 1991·Physical Review Letters·Z Lai, Das Sarma S
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B A MelloF A Oliveira
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F D A Aarão Reis
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christoph A Haselwandter, Dimitri D Vvedensky
Apr 7, 2010·Physical Review Letters·F LechenaultM Ciccotti
Jul 1, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·F F LealS O Ferreira
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T J OliveiraS C Ferreira
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F D A Aarão Reis

❮ Previous
Next ❯

Citations

Aug 17, 2020·Physical Review. E·Edwin E Mozo LuisFábio D A Aarão Reis
Apr 3, 2019·Physical Review. E·Edwin E Mozo LuisRoberto F S Andrade
May 22, 2019·Physical Review. E·Anderson J PereiraSilvio C Ferreira

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sidiney G AlvesS C Ferreira
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S V Ghaisas
Physical Review. E
Washington S AlvesIsmael V L Costa
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E S TokH C Kang
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M ConstantinS Das Sarma
© 2022 Meta ULC. All rights reserved