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Experiments of Interfacial Roughening in Hele-Shaw Flows with Weak Quenched Disorder | | Jordi Soriano
; Jordi Ortin
; Aurora Hernandez-Machado
; | | Date: |
25 Jul 2002 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Abstract: | We have studied the kinetic roughening of an oil--air interface in a forced imbibition experiment in a horizontal Hele--Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the direction of growth, have been explored by varying the average interface velocity v and the gap spacing b. Through the analysis of the rms width as a function of time, we have measured a growth exponent beta ~= 0.5 that is almost independent of the experimental parameters. The analysis of the roughness exponent alpha through the power spectrum have shown different behaviors at short (alpha_1) and long (alpha_2) length scales, separated by a crossover wavenumber q_c. The values of the measured roughness exponents depend on experimental parameters, but at large velocities we obtain alpha_1 ~= 1.3 independently of the disorder configuration. The dependence of the crossover wavenumber with the experimental parameters has also been investigated, measuring q_c ~ v^{0.47} for the shortest persistence length, in agreement with theoretical predictions. | | Source: | arXiv, cond-mat/0207610 | | Other source: | [GID 541679] pmid12366126 | | Services: | Forum | Review | PDF | Favorites | |
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