Non-translation invariant Gibbs states with coexisting phases. I: Existence of sharp interface for Widom-Rowlinson type lattice models in three dimensions

DOI10.1007/BF01197743zbMath0414.60093OpenAlexW2000543038MaRDI QIDQ599443

Enzo Olivieri, Joel L. Lebowitz, Jean Bricmont, Charles-Edouard Pfister

Publication date: 1979

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197743

zbMATH Keywords

lattice modelsIsing spin systemsnon-translation invariant Gibbs states

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model