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Distribution of interacting ionic particles in disordered media

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Golestanian,  Ramin
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Golestanian, R. (2002). Distribution of interacting ionic particles in disordered media. Europhysics Letters, 58(5), 712-717. doi:10.1209/epl/i2002-00407-y.


Cite as: http://hdl.handle.net/21.11116/0000-0001-78B8-9
Abstract
The equilibrium distribution of ionic particles in a charged disordered background is studied using the nonlinear Poisson-Boltzmann equation. For interacting ions in an arbitrarily given realization of the disorder, an exact solution of the equation is obtained in one dimension using a mapping of the nonlinear Poisson-Boltzmann equation to a self-consistent Schrödinger equation. It is shown that the ions are not distributed so as to locally neutralize the background, presumably due to their mutual interactions.