Condensation of a one-dimensional lattice gas

DOI10.1007/BF02100004zbMath0737.60091OpenAlexW2014828504MaRDI QIDQ1182048

Kurt Johansson

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02100004

zbMATH Keywords

thermodynamic limitenergy-entropy argument

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

On separation of phases in one-dimensional gases ⋮ Decimation of the Dyson-Ising ferromagnet ⋮ Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields ⋮ One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point ⋮ One-Sided Versus Two-Sided Stochastic Descriptions ⋮ Dyson Models Under Renormalization and in Weak Fields ⋮ Separation of phases at low temperatures in a one-dimensional continuous gas ⋮ The roles of random boundary conditions in spin systems ⋮ GROUND STATES OF ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL WITH EXTERNAL FIELD ⋮ Entropic repulsion and lack of the \(g\)-measure property for Dyson models ⋮ Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Separation of phases at low temperatures in a one-dimensional continuous gas
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Convex Analysis
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