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Trombley C.I., Ekiel-Jeżewska M.L., Stable configurations of charged sedimenting particles,
PHYSICAL REVIEW LETTERS, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.254502, Vol.121, pp.254502-1-6, 2018 Abstract:
The qualitative behavior of charged particles in a vacuum is given by Earnshaw's Theorem which states that there is no steady configuration of charged particles in a vacuum which is asymptotically stable to perturbations. In a viscous fluid, examples of stationary configurations of sedimenting uncharged particles are known, but they are unstable or neutrally stable - they are not attractors. In this paper, it is shown by example that two charged particles settling in a fluid may have a configuration which is asymptotically stable to perturbations, for a wide range of charges, radii and densities. The existence of such „bound states” is essential from a fundamental point of view and it can be significant for dilute charged particulate systems in various biological, medical and industrial contexts. Affiliations:
| Trombley C.I. | - | IPPT PAN | | Ekiel-Jeżewska M.L. | - | IPPT PAN |
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