Existence of a phase-transition in a one-dimensional Ising ferromagnet

1969/06/01 by Freeman J. Dyson · 27 citations
Mathematics · Physics and Astronomy · #Chain (unit) #Combinatorics #Condensed matter physics #Extension (predicate logic) #Ferromagnetism #Ising model #Markov Chains and Monte Carlo Methods #Mathematical physics #Mathematics #Monotone polygon #Phase transition #Physics #Quantum mechanics #Spins #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.1007/bf01645907

crossref issued 1969/06/01 · crossref published 1969/06/01 · crossref published-print 1969/06/01 · openalex publication_date 1969/06/01 · crossref created 2005/05/07 · crossref deposited 2019/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29 · crossref indexed 2026/07/30

Cited by

• Domain-wall excitations and optical conductivity in one-dimensional Wigner lattices
• The critical two-point function for long-range percolation on the hierarchical lattice
• Hierarchical Lorentz Mirror Model: Normal Transport and a Universal 2/3 Mean--Variance Law
• Renormalization-group perspective on spontaneous stochasticity
• Modulated phases in magnetic models frustrated by long-range interactions
• Chains with the fractal dispersion law
• Dynamical barriers in the Dyson hierarchical model via real space renormalization
• Coupled oscillators with power-law interaction and their fractional dynamics analogues
• Non-additive properties of finite 1D Ising chains with long-range interactions
• Stationary-point approach to the phase transition of the classicalXYchain with power-law interactions
• Retrieval Capabilities of Hierarchical Networks: From Dyson to Hopfield
• On the Truncation of Systems with Non-Summable Interactions
• Coexistence of coarsening and mean field relaxation in the long-range Ising chain
• A Fully Magnetizing Phase Transition
• The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Exploring the substellar IMF in the Taurus cloud. New brown dwarfs in the Taurus star forming region
• Relations between short-range and long-range Ising models
• Thermodynamics of a Hierarchical Mixture of Cubes
• Non-mean-field effects in systems with long-range forces in competition
• Floquet Phases of Matter via Classical Prethermalization
• Restoring phase coherence in a one-dimensional superconductor using power-law electron hopping
• Symmetry-prohibited thermalization after a quantum quench
• Large Deviation Techniques Applied to Systems with Long-Range Interactions
• Effective theory and breakdown of conformal symmetry in a long-range quantum chain
• The high-temperature expansion of the hierarchical Ising model: From Poincaré symmetry to an algebraic algorithm
• Ising model [wikipedia]