A numerical study of the statistics of roughness parameters for fluctuating interfaces

dc.creatorBustingorry, Sebastián
dc.creatorGuyonnet, J.
dc.creatorParuch, P.
dc.creatorAgoritsas, E.
dc.date2021-07
dc.date.accessioned2023-08-31T00:04:16Z
dc.date.available2023-08-31T00:04:16Z
dc.identifierhttp://hdl.handle.net/11336/181756
dc.identifierBustingorry, Sebastián; Guyonnet, J.; Paruch, P.; Agoritsas, E.; A numerical study of the statistics of roughness parameters for fluctuating interfaces; IOP Publishing; Journal of Physics: Condensed Matter; 33; 34; 7-2021; 345001-345012
dc.identifier0953-8984
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8543062
dc.descriptionSelf-affine rough interfaces are ubiquitous in experimental systems, and display characteristic scaling properties as a signature of the nature of disorder in their supporting medium, i.e. of the statistical features of its heterogeneities. Different methods have been used to extract roughness information from such self-affine structures, and in particular their scaling exponents and associated prefactors. Notably, for an experimental characterization of roughness features, it is of paramount importance to properly assess sample-to-sample fluctuations of roughness parameters. Here, by performing scaling analysis based on displacement correlation functions in real and reciprocal space, we compute statistical properties of the roughness parameters. As an ideal, artifact-free reference case study and particularly targeting finite-size systems, we consider three cases of numerically simulated one-dimensional interfaces: (i) elastic lines under thermal fluctuations and free of disorder, (ii) directed polymers in equilibrium with a disordered energy landscape, and (iii) elastic lines in the critical depinning state when the external applied driving force equals the depinning force set by disorder. Our results show that sample-to-sample fluctuations are rather large when measuring the roughness exponent. These fluctuations are also relevant for roughness amplitudes. Therefore a minimum of independent interface realizations (at least a few tens in our numerical simulations) should be used to guarantee sufficient statistical averaging, an issue often overlooked in experimental reports.
dc.descriptionFil: Bustingorry, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche | Comisión Nacional de Energía Atómica. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche; Argentina
dc.descriptionFil: Guyonnet, J.. Universidad de Ginebra. Facultad de Ciencias. Sección de Física; Suiza
dc.descriptionFil: Paruch, P.. Universidad de Ginebra. Facultad de Ciencias. Sección de Física; Suiza
dc.descriptionFil: Agoritsas, E.. École Polytechnique Fédérale de Lausanne; Suiza
dc.formatapplication/pdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherIOP Publishing
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-648X/ac0b20
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1088/1361-648X/ac0b20
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subjectDOMAIN WALLS
dc.subjectINTERFACES
dc.subjectROUGHNESS
dc.subjecthttps://purl.org/becyt/ford/1.3
dc.subjecthttps://purl.org/becyt/ford/1
dc.titleA numerical study of the statistics of roughness parameters for fluctuating interfaces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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