Electrostatic self-energy of a partially formed spherical shell in salt solution: application to stability of tethered and fluid shells -- viruses and vesicles

Abstract

We investigate the electrostatics of a partially formed, charged spherical shell in a salt solution. We solve the problem numerically at the Poisson-Boltzmann level and analytically in the Debye-Huckel regime. From the results on energetics of partially formed shells we examine the stability of tethered (crystalline) and fluid shells towards rupture. We clearly delineate different regimes of stability towards rupture, where, for fluid shells, we also include the effects of bending elasticity of the shells. Our analysis shows how charging of the shell induces its instability towards rupture but also provides insight regarding growth of charged shells.

15 pages, 8 figures; submitted

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• Symmetry effects in electrostatic interactions between two arbitrarily charged spherical shells in the Debye-Hückel approximation
• Anomalous Multipole Expansion: Charge Regulation of Patchy, Inhomogeneously Charged Spherical Particles
• Spherical structure factor and classification of hyperuniformity on the sphere
• From discrete to continuous description of spherical surface charge distributions
• Expansion and rupture of charged microcapsules