Statistical mechanics of a one-dimensional lattice gas
Abstract
We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result of van Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the system is represented by a measure which is invariant under the effect of lattice translations. The dynamical system defined by this invariant measure is shown to be a K-system.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- December 1968
- DOI:
- 10.1007/BF01654281
- Bibcode:
- 1968CMaPh...9..267R