Liquid crystal electrohydrodynamics in the presence of a magnetic field: the dynamic scattering transition

Shehadeh, H. M.; McClymer, J. P.; Carr, E. F.

doi:10.1080/026782900423359

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…For this reason, this work can be of interest to a wide audience of physics educators [31] as well as some researchers working on the field of electrostatics [32][33][34] or opto-electronic materials [35,36]. In particular, we believe that the results reported in this work would be of great interest to undergraduate students and university teachers, because this problem illustrates very well key concepts of electrostatics involving a wide range of mathematical tools (special functions, expansions, infinite sums and numerical calculations).…”

Section: Discussionmentioning

confidence: 99%

Interaction energy between two identical hemispherical surfaces with uniform surface charge density

Ciftja¹,

Colbert-Pollack²,

Ciftja³

et al. 2021

Eur. J. Phys.

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Obtaining the interaction energy between two uniformly charged hemispherical surfaces in compact analytical form seems to be an impossible task to achieve under arbitrary conditions. However, we show in this work that one can obtain the interaction energy between two identical hemispherical surfaces with uniform surface charge density for the special condition of them touching each other along the ‘equator’. The mathematical solution method that we apply is remarkable in that the bulk of the treatment is analytic with the only drawback of having to rely on knowledge of certain special functions and their properties.

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