Condensed Matter


Solution to Poisson Boltzmann Equation in Semi-Infinite and Cylindrical Geometries

Authors: Rajib Chakraborty

Linearized Poisson-Boltzmann equation (PBE) gives us simple expressions for charge density distribution (ρe) within fluids or plasma. A recent work of this author shows that the old boundary conditions (BC), which are usually used to solve PBE, have serious defects. The old solutions turned out to be non-unique, and violates charge conservation principle in some cases. There we also derived the correct formula of ρe for a finite, rectangular geometry, using appropriate BCs. Here we consider some other types of geometries and obtain formula of ρe, which may be useful to analyse different experimental conditions.

Comments: 5 Pages.

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Submission history

[v1] 2015-11-06 12:45:35

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