Absence of phase transitions in certain one-dimensional long-range random systems

DOI10.1007/BF01007972zbMath0642.60108OpenAlexW2099263471MaRDI QIDQ1101148

J. Leo van Hemmen, Aernout C. D. van Enter

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01007972

zbMATH Keywords

relative entropyfree energyphase transitionlong-range interactionsferromagnetic interaction

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (3)

One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion ⋮ Interactions and pressure functionals for disordered lattice systems ⋮ One dimensional spin glasses with potential decay \(1/r^{1+\epsilon}\). Absence of phase transitions and cluster properties

Cites Work

• Unnamed Item
• Ergodic theory. Introductory lectures
• On uniqueness of KmMS states of one-dimensional quantum lattice systems
• Infinite differentiability for one-dimensional spin system with long range random interaction
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Ergodic theorems for superadditive processes.

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