Diffusion-drift model of ion migration over interstitial sites of a two-dimensional lattice
https://doi.org/10.29235/1561-2430-2019-55-3-355-365
Abstract
An analytical and numerical modeling of the process of obtaining hydroxyl radicals OH0 and atomic hydrogen H0 from water molecules on a square lattice based on electrical neutralization of ions OH− on an anode and ions H+ on a cathode is conducted. The numerical solution of a system of equations describing a stationary migration of ions H+ and OH− over the interstitial sites of a square lattice located in an external electric field is considered. The ions H+ and OH− in the interstitial sites of a square lattice are generated as a result of dissociation of a water molecule under the action of external electromagnetic radiation and external constant (stationary) electric field. It is assumed that anode and cathode are unlimited ion sinks. The problem is solved using the finite difference approximation for the initial system of differential equations with the construction of an iterative process due to the nonlinearity of the constituent equations. It is shown by using calculation that the dependence of the ion current on a difference of electric potentials between anode and cathode is sublinear.
Keywords
hopping ion migration,
diffusion-drift model,
two-dimensional lattice,
hydroxyl radical,
atomic hydrogen
Supporting agencies: The work was supported by the Belarusian National Research Programs “Fizmattekh”, “Convergence-2020”, and by the European Union Framework Programme for Research and Innovation Horizon 2020 (Grant No. H2020-MSCA-RISE-2015-690968 NANOGUARD2AR).
About the Authors
N. A. Poklonski
Belarusian State University
Belarus
Belarus
Nikolai A. Poklonski – Dr. Sc. (Physics and Mathematics), Professor
4, Nezavisimo sti Ave., 220030, Minsk, Republic of Belarus
A. O. Bury
Belarusian State University
Belarus
Belarus
Artsiom A. Bury – Master Student
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
N. G. Abrashina-Zhadaeva
Belarusian State University
Belarus
Belarus
Natalia G. Abrashina-Zhadaeva – Dr. Sc. (Physics and Mathematics), Associate Professor
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
S. A. Vyrko
Belarusian State University
Belarus
Belarus
Sergey A. Vyrko – Ph. D. (Physics and Mathematics), Senior Researcher
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
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