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dc.contributor.author
Zamorategui, Arturo L.
dc.contributor.author
Lecomte, Vivien
dc.contributor.author
Kolton, Alejandro Benedykt
dc.date.available
2020-02-21T18:11:50Z
dc.date.issued
2018-04-24
dc.identifier.citation
Zamorategui, Arturo L.; Lecomte, Vivien; Kolton, Alejandro Benedykt; Statistics of zero crossings in rough interfaces with fractional elasticity; American Physical Society; Physical Review E; 97; 4; 24-4-2018; 042129-1/17
dc.identifier.issn
2470-0053
dc.identifier.uri
http://hdl.handle.net/11336/98283
dc.description.abstract
We study numerically the distribution of zero crossings in one-dimensional elastic interfaces described by an overdamped Langevin dynamics with periodic boundary conditions. We model the elastic forces with a Riesz-Feller fractional Laplacian of order z=1+2ζ, such that the interfaces spontaneously relax, with a dynamical exponent z, to a self-affine geometry with roughness exponent ζ. By continuously increasing from ζ=-1/2 (macroscopically flat interface described by independent Ornstein-Uhlenbeck processes [Phys. Rev. 36, 823 (1930)PHRVAO0031-899X10.1103/PhysRev.36.823]) to ζ=3/2 (super-rough Mullins-Herring interface), three different regimes are identified: (I) -1/21. The effect on P of short-scale smoothening is also analyzed numerically and analytically. A tight relation between the mean interval, the mean width of the interface, and the density of zeros is also reported. The results drawn from our analysis of rough interfaces subject to particular boundary conditions or constraints, along with discretization effects, are relevant for the practical analysis of zeros in interface imaging experiments or in numerical analysis.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FRACTIONAL ELASTICITY
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STOCHASTIC PROCESSES
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ZEROS OF RANDOM FUNCTIONS
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SELF AFFINITY
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Física de los Materiales Condensados
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Statistics of zero crossings in rough interfaces with fractional elasticity
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-15T17:31:16Z
dc.journal.volume
97
dc.journal.number
4
dc.journal.pagination
042129-1/17
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Zamorategui, Arturo L.. Université Pierre et Marie Curie; Francia. Université Paris Diderot - Paris 7; Francia
dc.description.fil
Fil: Lecomte, Vivien. Université Grenoble Alpes; Francia
dc.description.fil
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.journal.title
Physical Review E
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.97.042129
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.042129
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1710.07671
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