SOLVABLE ISOTHERMS FOR A 2-COMPONENT SYSTEM OF CHARGED RODS ON A LINE
JOURNAL OF STATISTICAL PHYSICS | PLENUM PUBL CORP | Published : 1988
The Coulomb system consisting of an equal number of positive and negative charged rods confined to a one-dimensional lattice is studied. The grand partition function can be calculated exactly at two values of the coupling constant Γ=q2/kBT (q denoting the magnitude of the charges). The exact results lead to the conjecture that in the complex scaled fugacity plane ξ, all the zeros of the grand partition function lie on the negative real axis for Γ2. In addition, for Γ>4, we conjecture in general and prove at Γ=4 that the zeros pinch the real axis in the thermodynamic limit, with an essential singularity in the pressure at the reduced density 1/2. © 1988 Plenum Publishing Corporation.