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dc.contributor.author
Zamorategui, Arturo L.
dc.contributor.author
Lecomte, Vivien
dc.contributor.author
Kolton, Alejandro Benedykt
dc.date.available
2018-10-05T19:19:06Z
dc.date.issued
2016-04-15
dc.identifier.citation
Zamorategui, Arturo L.; Lecomte, Vivien; Kolton, Alejandro Benedykt; Distribution of zeros in the rough geometry of fluctuating interfaces; American Physical Society; Physical Review E; 93; 4; 15-4-2016; 42118/1-42118/11
dc.identifier.issn
2470-0053
dc.identifier.uri
http://hdl.handle.net/11336/61812
dc.description.abstract
We study numerically the correlations and the distribution of intervals between successive zeros in the fluctuating geometry of stochastic interfaces, described by the Edwards-Wilkinson equation. For equilibrium states we find that the distribution of interval lengths satisfies a truncated Sparre-Andersen theorem. We show that boundary-dependent finite-size effects induce nontrivial correlations, implying that the independent interval property is not exactly satisfied in finite systems. For out-of-equilibrium nonstationary states we derive the scaling law describing the temporal evolution of the density of zeros starting from an uncorrelated initial condition. As a by-product we derive a general criterion of the von Neumann's type to understand how discretization affects the stability of the numerical integration of stochastic interfaces. We consider both diffusive and spatially fractional dynamics. Our results provide an alternative experimental method for extracting universal information of fluctuating interfaces such as domain walls in thin ferromagnets or ferroelectrics, based exclusively on the detection of crossing points.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Interfaces
dc.subject
Thermal Fluctuations
dc.subject
Zeros
dc.subject
Roughness
dc.subject.classification
Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Distribution of zeros in the rough geometry of fluctuating interfaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-14T14:02:26Z
dc.identifier.eissn
1063-651X
dc.journal.volume
93
dc.journal.number
4
dc.journal.pagination
42118/1-42118/11
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Zamorategui, Arturo L.. Université Paris Diderot - Paris 7; Francia. Universite Pierre et Marie Curie; Francia
dc.description.fil
Fil: Lecomte, Vivien. Université Paris Diderot - Paris 7; Francia. Universite Pierre et Marie Curie; 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 Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
dc.journal.title
Physical Review E
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042118
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.93.042118


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