Europhys. Lett., 64 (5) , pp. 620-626 (2003)
Anomalous scaling of multivalued interfacesA. Brú1 and D. Casero2
1 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
(Received 17 March 2003; accepted in final form 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 h(x,t). 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.
05.60.Cd - Classical transport.
02.50.Ey - Stochastic processes.
89.75.Fb - Structures and organization in complex systems.
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