LONG RANGE 1-d POTENTIAL AT BORDER OF THERMODYNAMIC LIMIT

DOI10.1142/S0217984906011128zbMath1107.82321OpenAlexW2087004092MaRDI QIDQ5481960

O. Shanker

Publication date: 24 August 2006

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984906011128

zbMATH Keywords

thermodynamic limitlong range potential1-d phase transitions

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• 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

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