Poisson-Boltzmann equation
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Revision as of 21:14, 20 November 2009 by Chakraborty (Talk | contribs)
The Poisson-Boltzmann equation describes the ion distribution in an electrolyte solution outside a charged interface. It relates the mean-field potential to the concentration of electrolyte.
Short derivation
The Poisson equation reads
<math> \epsilon_0 \epsilon_r \nabla^2 \phi = \rho_{(free ions)} </math>
where the charge distribution is
<math> \rho_{(free ions)} = e \sum_i z_i c_i </math>
