Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-05-21
J. Stat. Phys. 114 (3-4): 735-761 (2004)
Physics
Condensed Matter
Statistical Mechanics
17 pages, 11 figures, v2: section IV was shortened and some formulas has been rewritten to make them more readable
Scientific paper
10.1023/B:JOSS.0000012507.14488.
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.
Merchan Lina
Tellez Gabriel
No associations
LandOfFree
Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasma will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-40913