Sum-rule approach in the theory of charged self-compressed dielectric droplets

V.V. Pogosov, A. Kiejna and D.P. Kotlyarov

Physica A: Statistical Mechanics and its Applications, 2001, vol. 293, issue 1, 59-70

Abstract: The formal density-functional theory for neutral droplets that experience a spontaneous deformation is developed. The perturbative analytical expressions for the size corrections to the chemical potential, surface tension, and atomic density are derived from the condition of mechanical equilibrium, using a power series expansion in the inverse of droplet radius R. In this way, the determination of these corrections is reduced to a calculation of the quantities for a liquid with a flat surface. It is shown that the size compression and tension of density occur in the 1/R and 1/R2 orders, respectively. The sizes of charged, rigid and elastic, the so-called critical clusters, for which the binding energy is close to zero, are calculated for ArN−, KrN−, XeN− and ArN+, NeN+, HeN+. The results show significant contribution of self-compression to the binding energy of excess electron and a negligible influence on the positron binding.

Keywords: Rare-gas atoms; Dielectric droplets; Binding energy; Self-deformed clusters (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:293:y:2001:i:1:p:59-70

DOI: 10.1016/S0378-4371(00)00624-5

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