GROUND STATES OF ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL WITH EXTERNAL FIELD

DOI10.1142/S021798491150014XzbMath1264.82030MaRDI QIDQ4914547

Azer Kerimov

Publication date: 15 April 2013

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

zbMATH Keywords

Hamiltonianphase transitionground stateGibbs state

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) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Phase transition in the 1d random field Ising model with long range interaction
• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Condensation of a one-dimensional lattice gas
• 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
• A block effect of external field in the one-dimensional ferromagnetical Ising model with long-range interaction
• The relationship between phase transitions and percolation in models with ground-state degeneracy
• PHASE DIAGRAMS OF ONE-DIMENSIONAL MODELS UNDER STRONG RANDOM EXTERNAL FIELD

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