Труды сотрудников ИВМ СО РАН

/ V. V. Denisenko // Russ. J. Phys. Chem. B. - 2018. - Vol. 12, Is. 3. - P532-537, DOI 10.1134/S1990793118030089. - Cited References:15. - This work was supported by the Russian Science Foundation, project no. 14-11-00147. . - ISSN 1990-7931. - ISSN 1990-7923РУБ Physics, Atomic, Molecular & Chemical

Аннотация: To numerically simulate large-scale electric fields in the magnetosphere and ionosphere, the electrical conductivity problem is solved. The problem is substantially simplified due to the presence of a small parameter, the ratio of the conductivities in directions perpendicular and parallel to the magnetic field. Setting this parameter equal to zero makes magnetic field lines equipotential, so that the original three-dimensional problem reduces to a two-dimensional one. A comparison with the results of calculations performed within the framework of an alternative thin-layer model clearly demonstrates the advantages of using the conductivity anisotropy tensor rather than the smallness of the thickness of the ionosphere for constructing a two-dimensional approximation in a global simulation including the low-latitude ionosphere.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Inst Computat Modelling, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Denisenko, V. V.; Russian Science Foundation [14-11-00147]

/ I. I. Ryzhkov, A. S. Vyatkin, M. I. Medvedeva // J. Sib. Fed. Univ.-Math. Phys. - 2019. - Vol. 12, Is. 5. - P579-589, DOI 10.17516/1997-1397-2019-12-5-579-589. - Cited References:32. - The reported study was funded by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science, to the research project 18-48-242011 "Mathematical modelling of synthesis and ionic transport properties of conductive nanoporous membranes". . - ISSN 1997-1397. - ISSN 2313-6022РУБ Mathematics

Аннотация: The impact of potential applied to the conductive surface of nanoporous membrane on the membrane potential at zero current is investigated theoretically on the basis of two-dimensional Space-charge model. The membrane separates two reservoirs with different salt concentrations. It is shown that the variation of applied potential from negative to positive values results in the continuous change of membrane selectivity from cation to anion. For equal ion diffusion coefficients, the dependence of membrane potential on the applied potential is an odd function, while for different ion diffusion coefficients it is shifted along the applied potential axis due to contribution of diffusion potential enhanced by the induced charge effect. The decrease of pore radius results in the increase of ionic selectivity and steep transition between cation- selective and anion-selective states when the applied potential is changing.

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Держатели документа:
Inst Computat Modelling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Svobodny 79, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Ryzhkov, Ilya I.; Vyatkin, Anton S.; Medvedeva, Maria, I; Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science [18-48-242011]