On the absence of phase transition in one-dimensional random fields

DOI10.1007/BF00535003zbMath0545.60099MaRDI QIDQ5896403

F. Papangelou

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

statistical mechanicsspin systemslong range pair potential

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

Surface energy and boundary layers for a chain of atoms at low temperature ⋮ On the absence of phase transition in one-dimensional random fields ⋮ On the absence of phase transition in continuous one-dimensional Gibbs systems with no hard core

Cites Work

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• One-dimensional DLR invariant measures are regular
• Statistical mechanics of a one-dimensional lattice gas
• Superstable interactions in classical statistical mechanics
• DLR measures for one-dimensional harmonic systems
• Existence and uniqueness of DLR measures for unbounded spin systems
• Prescribing a System of Random Variables by Conditional Distributions
• On the absence of phase transition in one-dimensional random fields

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