A class of continuum models with no phase transitions

DOI10.1063/1.527264zbMath0628.73004OpenAlexW2076067646MaRDI QIDQ3765300

David Klein

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527264

zbMATH Keywords

interactionsarbitrary dimensionunique Gibbs stateclass of continuum interactionsno phase transitionspositive, superstable interactions

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Absence of phase transitions for continuum models of dimension d>1

Cites Work

• Uniqueness of one-dimensional continuum Gibbs states
• First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
• Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions
• Random point processes and DLR equations
• Superstable interactions in classical statistical mechanics

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