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On the equation Δψ = κ2sinh ψ and its applications

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Applications of Field Theory to Statistical Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 216))

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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.

Supported by NSF Grant #CPE-811612

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References

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Luis Garrido

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© 1985 Springer-Verlag

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Barouch, E. (1985). On the equation Δψ = κ2sinh ψ and its applications. In: Garrido, L. (eds) Applications of Field Theory to Statistical Mechanics. Lecture Notes in Physics, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13911-7_87

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  • DOI: https://doi.org/10.1007/3-540-13911-7_87

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13911-9

  • Online ISBN: 978-3-540-39134-0

  • eBook Packages: Springer Book Archive

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