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Electrostatic field calculations of charge and dipole models of membrane systems

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Summary

Calculations are made for the components of the field for electrostatic models of a fixed charge and dipole square sheet. The contributions to the field in certain nonaxial positions indicate that the components of the fieldincrease as a function of distance until they reach amaximum where they thendecrease in the normal manner. In the axial position, the field decreases as a function of position confirming analyses described in previous articles of comparisons of axial symmetric charge and dipole fields.

Résumé

On a fait des calculations des components d'un champ dans une modèle electrostatique avec des charges et des dipoles stabiles d'un plan quadrangulair. En position non-axiale speciale les contributions à la champ indiquent que les components croissent en relation de la distance jusqu'à une maximum et après-la ils diminuent normallement. En position axiale les components diminuent en relation de la position, conformant l'analyse décrit dans les publications prochaines.

Zusammenfassung

Es sind Berechnungen für die Komponenten eines Feldes in einem elektrostatischen Modell mit stabiler Ladung und Dipol in einem Quadrat gemacht. Die Beiträge dieser Komponenten bei gewissen nicht axialen Stellungen zeigen dass diese Komponenten heranwachsen mit zunehmendem Abstand bis einem Maximum ist erreicht; nachdem findet eine normale Abnahme statt. In axialer Stellung nehmen die Komponenten mit zunehmender Abstand ab, was eine Bestätigung der frühere Untersuchungen ist.

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References

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This work was supported by research grant NSG 501 National Aeronautic Space Administration.

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Friedenberg, R., Blatt, A.J. & Gallucci, V. Electrostatic field calculations of charge and dipole models of membrane systems. Acta Biotheor 19, 1–15 (1969). https://doi.org/10.1007/BF01601952

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  • DOI: https://doi.org/10.1007/BF01601952

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