On the equation Δψ = κ2sinh ψ and its applications

  • Eytan Barouch
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 216)


The Poisson-Boltzmann equation with two unequal spheres and fixed positive surface potentials is analyzed. The electrostatic energy is computed, and the fact that a fraction of the surface maybe attractive while the rest is repulsive is obtained. This is a new concept, counter intuitive and observed by experiments.


Electrostatic Repulsion Critical Radius Electrostatic Energy Radial Symmetry Surface Separation 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Eytan Barouch
    • 1
  1. 1.Department of Mathematics and Computer ScienceClarkson UniversityPotsdamNew York

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