| Issue |
Europhys. Lett.
Volume 33, Number 8, March II 1996
|
|
|---|---|---|
| Page(s) | 577 - 582 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00381-x | |
| Published online | 01 September 2002 | |
Kirkwood's formula revisited
Institute de Physique Théorique, Unité FYMA, Chemin du
Cyclotron 2, 1348 Louvain-La-Neuve, Belgium
Received:
26
April
1995
Accepted:
25
January
1996
Kirkwood's formula which enters, e.g., into calculation of the electrostatic free energy of a set of discrete point charges inside a sphere immersed in a solvent is derived rigorously for the first time in parallel with other similar formulae. An explicit connection between Kirkwood's polynomials and Bessel's functions is established. Besides, a one-parameter family of solutions which contains the classical situation as extreme point is introduced and discussed.
PACS: 02.30.-f – Function theory, analysis / 82.45.+z – Electrochemistry and electrophoresis
© EDP Sciences, 1996
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