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A coherent derivation of the Ewald summation for arbitrary orders of multipoles: The self-terms
Abstract : In this work, we provide the mathematical elements we think essential for a proper understanding of the calculus of the electrostatic energy of point-multipoles of arbitrary order under periodic boundary conditions. The emphasis is put on the expressions of the so-called self parts of the Ewald summation where different expressions can be found in literature. Indeed, such expressions are of prime importance in the context of new generation polarizable force field where the self field appears in the polarization equations. We provide a general framework, where the idea of the Ewald splitting is applied to the electric potential and subsequently, all other quantities such as the electric field, the energy and the forces are derived consistently thereof. Mathematical well-posedness is shown for all these contributions for any order of multipolar distribution.
Cited literature [18 references]
https://hal.archives-ouvertes.fr/hal-01897263
Contributor : Jean-Philip Piquemal Connect in order to contact the contributor
Submitted on : Wednesday, October 17, 2018 - 7:28:24 AM
Last modification on : Thursday, March 31, 2022 - 8:20:03 AM
Long-term archiving on: : Friday, January 18, 2019 - 12:56:55 PM
Contributor : Jean-Philip Piquemal Connect in order to contact the contributor
Submitted on : Wednesday, October 17, 2018 - 7:28:24 AM
Last modification on : Thursday, March 31, 2022 - 8:20:03 AM
Long-term archiving on: : Friday, January 18, 2019 - 12:56:55 PM
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1805.10363 (1).pdf
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