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Dielectric screening in a spherical cavity

Christopher J Glosser and Roger C Hill

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In this work we examine the electrostatic screening potential due to a point charge located off-centre in a spherical dielectric cavity. This potential is expanded for the case in which the dielectric constant epsilon is large, several methods of finding the terms in the expansion are investigated, and closed-form expressions are found through third order in epsilon along with error bounds. Finally, possible uses of these expressions in molecular dynamics simulations of isolated charged molecules are discussed.


PACS

41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems

87.14.E- Proteins

87.15.A- Theory, modeling, and computer simulation

MSC

78A30 Electro- and magnetostatics

92D20 Protein sequences, DNA sequences

92C40 Biochemistry, molecular biology

Subjects

Accelerators, beams and electromagnetism

Biological physics

Dates

Issue 37 (19 September 2008)

Received 10 July 2008, in final form 22 July 2008

Published 13 August 2008



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