Anomalous Roughening of Hele-Shaw Flows with Quenched Disorder

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Jun 2002Embargo end date: 01 Jan 2002 Spain English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 89 (issn: 0031-9007, eissn: 1079-7114,

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Authors: Soriano i Fradera, Jordi; Ramasco, J. J.; Rodríguez Díaz, Miguel Ángel; Hernández Machado, Aurora; Ortín, Jordi, 1959-;

doi: 10.1103/physrevlett.89.026102 , 10.48550/arxiv.cond-mat/0206318

pmid: 12097009

arXiv: cond-mat/0206318

handle: 10261/384759 , 2445/12826

Anomalous Roughening of Hele-Shaw Flows with Quenched Disorder

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Abstract

The kinetic roughening of a stable oil--air interface, moving in a Hele--Shaw cell which contains a quenched columnar disorder (tracks) has been studied. A capillary effect is responsible for the dynamic evolution of the resulting rough interface, which exhibits anomalous scaling. The three independent exponents needed to characterize the anomalous scaling are determined experimentally. The anomalous scaling is explained in terms of the initial acceleration and subsequent deceleration of the interface tips in the tracks coupled by mass conservation. A phenomenological model that reproduces the measured global and local exponents has been introduced.

4 pages, 5 figures, uses epsf. To appear in PRL

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Keywords

Fluid dynamics, Dinàmica de fluids, FOS: Physical sciences, Dinàmica de Fluids, Superfícies (Física), Statistical physics, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Física estadística, Surfaces (Physics)

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