A multicomponent "anti-Widom-Rowlinson" lattice gas is introduced. An arbitrary number M of particle types is permitted, all having the same activity. The only interactions are nearest-neighbor exclusions of like particles (analogous to map-coloring problems). For any lattice it is shown that there is a finite number M0 (depending only on the coordination number of the lattice) such that for all M≥M0 the infinite volume correlation functions exist and are analytic functions of the activity, for all positive values of the common activity.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Lattice gas
- Möbius functions
- map colorings
- phase transition