2003/05/31 by Lina Merchan, Lina Merchán, Gabriel Téllez +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Dust and Plasma Wave Phenomena #Electrostatics and Colloid Interactions #cond-mat.stat-mech
paper · pdf · doi:10.1023/b:joss.0000012507.14488.a3
published as J. Stat. Phys. 114 (3-4): 735-761 (2004) · 17 pages, 11 figures, v2: section IV was shortened and some formulas has been rewritten to make them more readable
arxiv created 2003/11/21 · openalex publication_date 2004/01/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using 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.