On separation of phases in one-dimensional gases

DOI10.1007/BF02099311zbMath0828.76081OpenAlexW2064095537MaRDI QIDQ1894872

Kurt Johansson

Publication date: 26 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf02099311

zbMATH Keywords

interfacecritical temperaturecanonical ensemblepair interaction of Lennard-Jones type

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (7)

Phase transitions in the one-dimensional Coulomb gas ensembles ⋮ Phase transition in continuum Potts models ⋮ On positive periodic solutions of second-order difference equations with attractive-repulsive singularities ⋮ One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point ⋮ Entropic repulsion and lack of the \(g\)-measure property for Dyson models ⋮ On periodic solutions of second-order differential equations with attractive-repulsive singularities ⋮ Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions

Cites Work

• Separation of phases at low temperatures in a one-dimensional continuous gas
• Condensation of a one-dimensional lattice gas
• A characterization of first-order phase transitions for superstable interactions in classical statistical mechanics
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
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