Non-linear screening of spherical and cylindrical colloids: the case of 1:2 and 2:1 electrolytes
| dc.creator | Tellez, Gabriel | |
| dc.creator | Trizac, Emmanuel | |
| dc.date | 2004-03-10 | |
| dc.date.accessioned | 2026-07-07T02:56:53Z | |
| dc.date.available | 2026-07-07T02:56:53Z | |
| dc.description | From a multiple scale analysis, we find an analytic solution of spherical and cylindrical Poisson-Boltzmann theory for both a 1:2 (monovalent co-ions, divalent counter-ions) and a 2:1 (reversed situation) electrolyte. Our approach consists in an expansion in powers of rescaled curvature $1/(κa)$, where $a$ is the colloidal radius and $1/κ$ the Debye length of the electrolytic solution. A systematic comparison with the full numerical solution of the problem shows that for cylinders and spheres, our results are accurate as soon as $κa>1$. We also report an unusual overshooting effect where the colloidal effective charge is larger than the bare one. | |
| dc.description | 9 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0403265 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0403265 | |
| dc.identifier | Phys. Rev. E 70, 011404 (2004) | |
| dc.identifier | doi:10.1103/PhysRevE.70.011404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23502 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Materials Science | |
| dc.subject | Statistical Mechanics | |
| dc.title | Non-linear screening of spherical and cylindrical colloids: the case of 1:2 and 2:1 electrolytes | |
| dc.type | text |