We consider two charged semipermeable membranes which bound bulk electrolyte solutions and are separated by a thin film of salt-free liquid. Small ions permeate into the gap, which leads to a steric charge separation in the system. To quantify the problem, we define an effective surface charge density of an imaginary impermeable surface, which mimics an actual semipermeable membrane and greatly simplifies the analysis. The effective charge depends on separation, generally differs from the real one, and could even be of the opposite sign. From the exact and asymptotic solutions of the nonlinear Poisson-Boltzmann equation, we obtain the distribution of the potential and of ions in the system. We then derive explicit formulae for the disjoining pressure in the gap and electro-osmotic velocity and show that both are controlled by the effective surface charge.
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28 October 2016
Research Article|
October 26 2016
Electrostatic interactions and electro-osmotic properties of semipermeable surfaces
Salim R. Maduar;
Salim R. Maduar
1A.N. Frumkin Institute of Physical Chemistry and Electrochemistry,
Russian Academy of Sciences
, 31 Leninsky Prospect, 119071 Moscow, Russia
2Department of Physics,
M. V. Lomonosov Moscow State University
, 119991 Moscow, Russia
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Olga I. Vinogradova
Olga I. Vinogradova
1A.N. Frumkin Institute of Physical Chemistry and Electrochemistry,
Russian Academy of Sciences
, 31 Leninsky Prospect, 119071 Moscow, Russia
2Department of Physics,
M. V. Lomonosov Moscow State University
, 119991 Moscow, Russia
3DWI - Leibniz Institute for Interactive Materials,
RWTH Aachen
, Forckenbeckstr. 50, 52056 Aachen, Germany
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J. Chem. Phys. 145, 164703 (2016)
Article history
Received:
July 13 2016
Accepted:
October 07 2016
Citation
Salim R. Maduar, Olga I. Vinogradova; Electrostatic interactions and electro-osmotic properties of semipermeable surfaces. J. Chem. Phys. 28 October 2016; 145 (16): 164703. https://doi.org/10.1063/1.4965816
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