Abstract

The evaluation of the partition function of the 2-dimensional ice model is equivalent to counting the number of ways of coloring the faces of the square lattice with three colors so that no two adjacent faces are colored alike. In this paper we solve a generalized problem in which activities are associated with the colors. If one of the colors is regarded as a particle and the others as forming a background, then the model is reminiscent of the hard-square lattice gas. It is found to undergo a phase transition with infinite compressibility at the density ρ = 1/3.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.