Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma

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dc.creatorMerchan, Lina
dc.creatorTellez, Gabriel
dc.date2003-05-21
dc.date2003-11-21
dc.date.accessioned2026-07-07T02:51:28Z
dc.date.available2026-07-07T02:51:28Z
dc.descriptionUsing a solvable model, the two-dimensional two-component plasma, we study a Coulomb gas confined in a disk and in an annulus with boundaries that can adsorb some of the negative particles of the system. We obtain explicit analytic expressions for the grand potential, the pressure and the density profiles of the system. By studying the behavior of the disjoining pressure we find that without the adsorbing boundaries the system is naturally unstable, while with attractive boundaries the system is stable because of a positive contribution from the surface tension to the disjoining pressure. The results for the density profiles show the formation of a positive layer near the boundary that screens the adsorbed negative particles, a typical behavior in charged systems. We also compute the adsorbed charge on the boundary and show that it satisfies a certain number of relations, in particular an electro-neutrality sum rule.
dc.description17 pages, 11 figures, v2: section IV was shortened and some formulas has been rewritten to make them more readable
dc.identifierhttps://arxiv.org/abs/cond-mat/0305514
dc.identifierhttp://arxiv.org/abs/cond-mat/0305514
dc.identifierJ. Stat. Phys. 114 (3-4): 735-761 (2004)
dc.identifierdoi:10.1023/B:JOSS.0000012507.14488.a3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21470
dc.subjectStatistical Mechanics
dc.titleConfined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma
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