ONE-DIMENSIONAL NON-SYMMETRIC WIDOM–ROWLINSON MODEL WITH LONG-RANGE INTERACTION

DOI10.1142/S0217984907013134zbMath1144.82309OpenAlexW1991503114MaRDI QIDQ3444890

Azer Kerimov

Publication date: 5 June 2007

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984907013134

zbMATH Keywords

clusterpartition functionground statecontourGibbs state

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Absence of phase transitions in one-dimensional antiferromagnetic models with long-range interactions
• Statistical mechanics of a one-dimensional lattice gas
• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
• Gibbsian random fields. The general case
• The relationship between phase transitions and percolation in models with ground-state degeneracy

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