A stochastic p-adic model of the capillary flow in porous random medium

Alexandra V. Antoniouk, Klaudia Oleschko, Anatoly N. Kochubei and Andrei Yu. Khrennikov

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 763-777

Abstract: We develop the p-adic model of propagation of fluids (e.g., oil or water) in capillary networks in a porous random medium. The hierarchic structure of a system of capillaries is mathematically modeled by endowing trees of capillaries with the structure of an ultrametric space. Considerations are restricted to the case of idealized networks represented by homogeneous p-trees with p branches leaving each vertex, where p >1 is a prime number. Such trees are realized as the fields of p-adic numbers. We introduce and study an inhomogeneous Markov process describing the penetration of fluid into a porous random medium.

Keywords: P-adic numbers; P-adic theoretical physics; Porous random medium; Capillary network; Penetration of fluid; Inhomogeneous Markov process (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:505:y:2018:i:c:p:763-777

DOI: 10.1016/j.physa.2018.03.049

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