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26 April 2024
 
  » arxiv » cond-mat/0206318

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Anomalous roughening of Hele-Shaw flows with quenched disorder
J. Soriano ; J.J. Ramasco ; M.A. Rodriguez ; A. Hernandez-Machado ; J. Ortin ;
Date 17 Jun 2002
Journal Phys. Rev. Lett. 89 026102 (2002)
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
AbstractThe 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.
Source arXiv, cond-mat/0206318
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