Upper bounds on \(T_ c\) for one-dimensional Ising systems.

DOI10.1007/BF02187074zbMath1080.82537OpenAlexW2005139541MaRDI QIDQ1593163

James L. Monroe

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02187074

zbMATH Keywords

critical temperaturelong-range interactionsIsing model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items (1)

Critical temperature of one-dimensional Ising model with long-range interaction revisited

Cites Work

• Complex-\(q\) zeros of the partition function of the Potts model with long-range interactions
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Statistical mechanics of a one-dimensional lattice gas
• Cycle expansion for the Lyapunov exponent of a product of random matrices

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