Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-01-04
J.Statist.Phys. 104 (2001) 755-777
Physics
Condensed Matter
Statistical Mechanics
23 pages, Latex
Scientific paper
A two-component Coulomb gas confined by walls made of ideal dielectric material is considered. In two dimensions at the special inverse temperature $\beta = 2$, by using the Pfaffian method, the system is mapped onto a four-component Fermi field theory with specific boundary conditions. The exact solution is presented for a semi-infinite geometry of the dielectric wall (the density profiles, the correlation functions) and for the strip geometry (the surface tension, a finite-size correction of the grand potential). The universal finite-size correction of the grand potential is shown to be a consequence of the good screening properties, and its generalization is derived for the conducting Coulomb gas confined in a slab of arbitrary dimension $\ge 2$ at any temperature.
Jancovici Bernard
Samaj Ladislav
No associations
LandOfFree
Coulomb Systems with Ideal Dielectric Boundaries: Free Fermion Point and Universality 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 Coulomb Systems with Ideal Dielectric Boundaries: Free Fermion Point and Universality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coulomb Systems with Ideal Dielectric Boundaries: Free Fermion Point and Universality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-151463