Abstract
We present a model for the solidification process of two immisciblefluids interacting repulsively with mobile impurities on a two-dimensional square lattice. In the space of the fluids and impurityconcentrations, the phase diagram exhibits a critical curveseparating a percolating from a non-percolating phase. Estimatedvalues for the fractal dimension and the exponent β of theorder parameter reveal that the critical exponents do not varyalong this curve, i.e., they are independent of the impurityconcentration. The universality class is that of the ordinarypercolation. On the basis of the ideas of the dynamic epidemic andinvasion percolation models, we also propose a model that may berelevant to cleaning porous media by fluid injection. An analysisof the acceptance profile, the fractal dimension and the gapexponent strongly indicate that this model belongs to theuniversality class of the ordinary invasion percolation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
