Two-Dimensional Coulomb Systems on a Surface of Constant Negative Curvature

  title={Two-Dimensional Coulomb Systems on a Surface of Constant Negative Curvature},
  author={Bernard Jancovici and Gabriel T{\'e}llez},
We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an innnite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to zero at innnity. 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… CONTINUE READING
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