The twodimensional one component plasma in a doubly periodic background: Exact results
Abstract
A new method is used to find that the twodimensional onecomponent plasma in a inhomogenous background is a solvable model, in equilibrium classical statistical mechanics, for the special value Gamma = 2 of the coupling constant, for a larger class of background shapes: the nbody densities can be explicitly computed. In particular, we can deal with a doubly periodic background; this is a classical model for a crystal mode of fixed ions and mobile electrons. At Gamma = 2, this system is a conductor: the correlations have a fast decay, and the StillingerLovett screening sum rule is obeyed.
 Publication:

Interim Technical Report Puerto Rico Univ
 Pub Date:
 January 1988
 Bibcode:
 1988pru..rept.....C
 Keywords:

 Background Radiation;
 Dimensions;
 Equilibrium;
 Statistical Mechanics;
 Strongly Coupled Plasmas;
 Electron Mobility;
 Ions;
 Many Body Problem;
 Plasma Decay;
 Plasma Density;
 Plasmas (Physics);
 Shapes;
 Plasma Physics