To the theory of the liquid microdiode

Authors

  • Demekhin E.A. Kuban State University, Krasnodar, Russian Federation
  • Baryshev M.G. Kuban State University, Krasnodar, Russian Federation
  • Gorbacheva E.V. Kuban State University, Krasnodar, Russian Federation
  • Frantz E.A. Kuban State University, Krasnodar, Russian Federation

UDC

532.517.013.4 : 537.2

Abstract

A method of electric current rectification in liquid micro-nanodiods is considered. Unlike semiconductor diods, the liquid one is easy to integrate into chip-on-lab devices. The microdiod consists of two tubes of nano- or micro-sizes with different diameters, filled with two liquids with different dielectric permeabilities and diffusion coefficients. The ends of the tubes are electrodes for periodically changing drop of potential, and ions of some substance are charge carriers in the tubes. The process is described by one-dimensional nonsteady Nernst-Planck-Poisson system which obeys the correspondent boundary conditions. A simple analytical solution is obtained under the assumption of small double ion layers and slowness of the process. This simple solution clarifies the physics of liquid rectification.

Keywords:

micro-nano diodes, electrolyte, Nernst-Planck-Poisson system, electroneutral diffusion layer, double ion layer

Funding information

Работа выполнена при частичной финансовой поддержке РФФИ (12-08-00924-а, 11-08-00480-а).

Author info

  • Evgeniy A. Demekhin

    д-р физ.-мат. наук, профессор кафедры вычислительной математики и информатики Кубанского государственного университета

  • Mikhail G. Baryshev

    д-р биол. наук, профессор кафедры радиофизики и радиоэкологии Кубанского государственного университета

  • Ekaterina V. Gorbacheva

    магистрант кафедры математического моделирования Кубанского государственного университета

  • Elizaveta A. Frantz

    магистрант кафедры математического моделирования Кубанского государственного университета

References

  1. Chemical Effects Due to the Ionization of Impurities in Semiconductors s// J. Chem. Phys. 1953. Vol. 21. P. 1209-1218.
  2. Scanning Electrochemical Microscopy. Application of SECM to the study of charge transfer processes at the liquid/liquid Interface // Phys. Chem. 1995. Vol. 99(43). P. 16033-16042.
  3. Nanofluidic Diode and Bipolar Transistor // Nano Lett. 2005. Vol. 5. P. 2274-2280.
  4. Ionic Selectivity of Single Nanochannels // Nano Lett. 2008. Vol. 8. P. 1978-1985.
  5. Ion-Current Rectification in Nanopores and Nanotubes with Broken Symmetry // Adv. Funct. Mater. 2006. Vol. 16. P. 735-746.
  6. Electromigration Current Rectification in a Cylindrical Nanopore Due to Asymmetric Concentration Polarization // Anal. Chem. 2009. Vol. 81. P. 3128-3133.
  7. Selection of Nonequilibrium Overlimiting Currents: Universal Depletion Layer Formation Dynamics and Vortex Instability // Phys. Rev. Lett. 2008. Vol. 101. P. 254501-254505.
  8. Understanding electrokinetics at the nanoscale: A perspective // Biomicrofluidics. 2009. Vol. 3. P. 012001-012016.
  9. Physicochemical hydrodynamics. John Wiley and Sons, Inc, 1994. 353 p.
  10. Porous-electrode theory with battery applications // AlChE Journal. 1975. Vol. 21. No. 1. P. 25-41.
  11. Zur theorie der elektrolytischen doppelschicht // Z. Elektrochem. 1924. Vol. 30. P. 508-516.
  12. Electric Current across the Metal-Solid Electrolyte Interface // Physica Status Solidi (a). 1977. Vol. 39. P. 573-582.
  13. Current-voltage relations for electrochemical thin films // SIAM J. Appl. Math. 2005. Vol. 65. No. 5. P. 1463-1484.
  14. Перенос ионов в мембранах. М: Наука, 1996. 392 p.

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Issue

Pages

31-37

Section

Article

Dates

Submitted

July 26, 2013

Accepted

July 31, 2013

Published

September 23, 2013

How to Cite

[1]
Demekhin, E.A., Baryshev, M.G., Gorbacheva, E.V., Frantz, E.A., To the theory of the liquid microdiode. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2013, № 3, pp. 31–37.

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