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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)

Abstract

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.

Keywords

Electrostatic Repulsion Critical Radius Electrostatic Energy Radial Symmetry Surface Separation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    R. Hogg, T.W. Healy, and D.W. Fuerstenau, Trans. Faraday Soc., 1966, 62, 1638.Google Scholar
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    B.V. Derjaguin, Disc. Faraday Soc., 1954, 18, 85.Google Scholar
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    R.J. Kuo and E. Matijević, J. Colloid Interface Sci., 1980, 78, 407.Google Scholar
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    E. Barouch, E. Matijević, T.A. Ring, J.M. Finlan, J. Colloid Interface Sci., 1978, 67, 1; 1979, 70, 400.Google Scholar
  5. 5.
    E. Barouch, E. Matijević (in press), E. Barouch, E. Matijevic and T. Wright (in press).Google Scholar
  6. 6.
    S. Kulkarni (in preparation).Google Scholar

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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