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Imbibition: An Example of Nonconserved Cellular Automaton

P. B. Sunil Kumar·Debnarayan Jana
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Abstract

We report an imbibition experiment in 2D random porous media in which height - height correlation function grows with a nonuniversal exponent. We find the exponent to depend on evaporation. A cellular automaton model for imbibition based on first principles is presented. A numerical study of the model gives results which are consistent with the experiment. The interface is shown to exhibit self-organised criticality (SOC).

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P. B. Sunil Kumar, Debnarayan Jana. 1995-09-09. Imbibition: An Example of Nonconserved Cellular Automaton. https://arxiv.org/abs/cond-mat/9509047

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