Anomalous roughening of Hele-Shaw flows with quenched disorder

Details Anomalous roughening of Hele-Shaw flows with quenched disorder Anomalous roughening of Hele-Shaw flows with quenched disorder

2002-06-17

arxiv.org/abs/cond-mat/0206318v1

Phys. Rev. Lett. 89 026102 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevLett.89.026102

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.

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