Two-dimensional Coulomb systems on a surface of constant negative curvature

Details Two-dimensional Coulomb systems on a surface of constant negative curvature Two-dimensional Coulomb systems on a surface of constant negative curvature

1998-01-30

arxiv.org/abs/cond-mat/9801322v2

J.Stat.Phys. 91 (1998) 953

Physics

Condensed Matter

28 pages.LaTex.Minor revisions have been made.To be published in J.Stat.Phys.(June 1998)

Scientific paper

We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to zero at infinity. The pressure can be expanded as a series in integer powers of the density (the virial expansion). The correlation functions have a thermodynamic limit, and remarkably that limit is the same one for the Coulomb interaction and some other interaction law. However, special care is needed for defining a thermodynamic limit of the free energy density. There are sum rules expressing the property of perfect screening. These generic properties can be checked on the Debye-H\"uckel approximation, and on two exactly solvable models~: the one-component plasma and the two-component plasma, at some special temperature.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional Coulomb systems on a surface of constant negative curvature 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 Two-dimensional Coulomb systems on a surface of constant negative curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional Coulomb systems on a surface of constant negative curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316884