Physics – Condensed Matter
Scientific paper
1995-09-19
J.Stat.Phys. 84 (1996) 359
Physics
Condensed Matter
24 pages,TEX
Scientific paper
10.1007/BF02179647
Coulomb systems in which the particles interact through the $d$-dimensional Coulomb potential but are confined in a flat manifold of dimension $d - 1$ are considered. The Coulomb potential is defined with some boundary condition involving a characteristic macroscopic distance $W$ in the direction perpendicular to the manifold~: either it is periodic of period $W$ in that direction, or it vanishes on one ideal conductor wall parallel to the manifold at a distance $W$ from it, or it vanishes on two parallel walls at a distance $W$ from each other with the manifold equidistant from them. Under the assumptions that classical equilibrium statistical mechanics is applicable and that the system has the macroscopic properties of a conductor, it is shown that the suitably smoothed charge correlation function is universal, and that the free energy and the grand potential have universal dependences on $W$ (universal means independent of the microscopic detail). The cases $d = 2$ are discussed in detail, and the generic results are checked on an exactly solvable model. The case $d = 3$ of a plane parallel to an ideal conductor is also explicitly worked out.
Forrester Peter J.
Jancovici Bernard
Tellez and G.
No associations
LandOfFree
Universality in some classical Coulomb systems of restricted dimension 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 Universality in some classical Coulomb systems of restricted dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality in some classical Coulomb systems of restricted dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308905