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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 5, Pages 3–13
(Mi pmtf1021)
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This article is cited in 2 scientific papers (total in 2 papers)
A method of rectifying current at microscales
E. A. Demekhinab, M. G. Barysheva, G. S. Ganchenkoa, E. V. Gorbachevaa a Kuban’ State University, Krasnodar, 350040, Russia
b Institute of Mechanics, Lomonosov Moscow State University, Moscow, 117192, Russia
Abstract:
A method for rectifying electric current in micro and nanoscale devices is proposed based on the asymmetric concentration of polarization in an electrolyte solution in the case where the current in a microdiode successively passes through two mutually undissolvable fluids with different dielectric constants and diffusion coefficients in tubes with different dimensions. It is assumed that both fluids contain the ions of a completely dissociated substance which provide electric charge transfer upon application of a potential difference to the walls of the device, and the interface between the two fluids has a charge. The process is described by a one-dimensional nonstationary Nernst–Planck–Poisson system. The boundary conditions on the electrodes are the impermeability condition for anions and the Arrhenius equation which defines the flow of cations. The system of equations was solved numerically: the unknowns were decomposed into a complete system of orthogonal functions of the spatial variable, and the resulting dynamical system for the Galerkin coefficients was integrated over time by the Gear method because of its stiffness. The parameters of the system that have the most significant effect on the degree of rectification are determined, and their optimum values are evaluated.
Keywords:
nano- and microflows, Nernst–Planck–Poisson equations, concentration polarization, electrolyte, ionic double layer, nano- and microdiodes, quasispectral Galerkin method, $\tau$-variant of the Galerkin method, stiff systems, Gear method.
Received: 13.08.2013 Revised: 25.09.2013
Citation:
E. A. Demekhin, M. G. Baryshev, G. S. Ganchenko, E. V. Gorbacheva, “A method of rectifying current at microscales”, Prikl. Mekh. Tekh. Fiz., 55:5 (2014), 3–13; J. Appl. Mech. Tech. Phys., 55:5 (2014), 727–735
Linking options:
https://www.mathnet.ru/eng/pmtf1021 https://www.mathnet.ru/eng/pmtf/v55/i5/p3
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