Volume 64, Number 5, December 2003
|Page(s)||620 - 626|
|Published online||01 November 2003|
Anomalous scaling of multivalued interfaces
CCMA, Consejo Superior de Investigaciones Científicas Serrano 115 dpdo, 28006 Madrid, Spain
2 Departamento de Matemática Aplicada, Universidad Complutense de Madrid Avda. Complutense s/n, 28040 Madrid, Spain
Accepted: 2 October 2003
The main goal of this letter is the scaling analysis of multivalued interfaces showing anomalous height fluctuations. A model of two-fluid transport through porous media is studied by means of dynamical scaling techniques. When the displacement is unstable, the interfaces are multivalued. In this paper we compare three definitions of the height function . In our model we prove the kind of scaling to depend on the height function definition, and those anomalous fluctuations not to exist actually, as would be in many models and experiments exhibiting multivalued interfaces.
PACS: 05.60.Cd – Classical transport / 02.50.Ey – Stochastic processes / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, 2003
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