The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy

1982/03/01 by Jürg Fröhlich, Thomas Spencer · 201 citations
Mathematics · Physics and Astronomy · #Complex system #Computer science #Condensed matter physics #Energy (signal processing) #Ising model #Magnetic field #Magnetization #Markov Chains and Monte Carlo Methods #Mathematical physics #Mathematics #Phase (matter) #Phase transition #Physics #Quantum mechanics #Spontaneous magnetization #Square-lattice Ising model #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.1007/bf01208373

published in Communications in Mathematical Physics 84(1), 87-101 (Springer Science and Business Media LLC)

crossref issued 1982/03/01 · crossref published 1982/03/01 · crossref published-print 1982/03/01 · openalex publication_date 1982/03/01 · crossref created 2005/02/25 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23 · crossref indexed 2026/08/05

Citations

• Correlation inequalities and the decay of correlations in ferromagnets

Cited by

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• On the Truncation of Systems with Non-Summable Interactions
• Coexistence of coarsening and mean field relaxation in the long-range Ising chain
• Relations between short-range and long-range Ising models
• Unique Bernoulli Gibbs states and g-measures
• Coherent phenomena in mesoscopic systems
• Restoring phase coherence in a one-dimensional superconductor using power-law electron hopping
• Effective theory and breakdown of conformal symmetry in a long-range quantum chain
• Ising model [wikipedia]