- 02-414 Y.Higuchi, M.Takei
- Some results on the phase structure of the two-dimensional Widom-Rowlinson model
Oct 7, 02
(auto. generated ps),
of related papers
Abstract. We study the phase structure of the Widom-Rowlinson model
on the square lattice. In the symmetric and large activity
case, horizontally invariant phases are mixtures of plus
and minus phases. When the difference of the activity of
plus-particle and that of minus-particle is large enough,
the system admits no phase transition. Especially, if phase
transion occurs in the symmetric case, then for the same
activity Gibbs measure is unique in the asymmetric case.
Our proof is based on the percolation method.