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

DOI10.1007/BF00535002zbMath0545.60098OpenAlexW1531831935MaRDI QIDQ5896402

F. Papangelou

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00535002

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 (4)

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

Cites Work

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• Phase transition in one-dimensional nearest-neighbor systems
• Existence and uniqueness of countable one-dimensional Markov random fields
• DLR measures for one-dimensional harmonic systems
• An example of phase transition in countable one-dimensional Markov random fields
• 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
• Observables at infinity and states with short range correlations in statistical mechanics

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