Christopher J Glosser and Roger C Hill 2008 J. Phys. A: Math. Theor. 41 375402 doi:10.1088/1751-8113/41/37/375402
Christopher J Glosser and Roger C Hill
Show affiliationsIn 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
is large, several methods of finding the terms in the expansion are investigated, and closed-form expressions are found through third order in
along with error bounds. Finally, possible uses of these expressions in molecular dynamics simulations of isolated charged molecules are discussed.
41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems
78A30 Electro- and magnetostatics
Issue 37 (19 September 2008)
Received 10 July 2008, in final form 22 July 2008
Published 13 August 2008
Christopher J Glosser and Roger C Hill 2008 J. Phys. A: Math. Theor. 41 375402
A B Sushkov et al 2008 J. Phys.: Condens. Matter 20 434210
Christopher J. Glosser and Carl R. Schmidt JHEP12(2002)016