History of the Lenz-Ising model 1950-1965: from irrelevance to relevance

DOI10.1007/s00407-008-0039-5zbMath1180.01037OpenAlexW2092940651MaRDI QIDQ1031942

Martin Niss

Publication date: 23 October 2009

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-008-0039-5

zbMATH Keywords

critical phenomenaferromagnetismCyril DombD.Ruelle

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of statistical mechanics (82-03)

Related Items

Introduction to QUBO, Anticonformity or independence? -- Insights from statistical physics, Glauber dynamics for Ising models on random regular graphs: cut-off and metastability, Ising models on power-law random graphs, Universality in the 2D Ising model and conformal invariance of fermionic observables, Ising critical exponents on random trees and graphs, History of the Lenz-Ising model 1965--1971: the role of a simple model in understanding critical phenomena, Towards Yang-Baxter integrability of quantum crystal melting: from Kagome lattice to vertex models, Metastability of the Ising model on random regular graphs at zero temperature, Evolutionary potential games on lattices, Annealed Ising model on configuration models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Ehrenfest classification of phase transitions: Introduction and evolution
• Lars Onsager (November 27, 1903--October 5, 1976), in memoriam.
• Critical phenomena and renormalization-group theory
• History of the Lenz-Ising Model 1920--1950: from Ferromagnetic to Cooperative Phenomena
• Some observations on the early history of equilibrium statistical mechanics
• The Padé approximant
• Infra-red spectrum and dichroism of crystalline acetanilide
• General Theory of Spin-Wave Interactions
• On the susceptibility of a ferromagnetic above the Curie point
• Antiferromagnetic susceptibility of the plane square and honeycomb ising lattices
• Effect of Change of Spin on the Critical Properties of the Ising and Heisenberg Models
• The calculation of lattice constants in crystal statistics
• Statistical Mechanics of Some Co-Operative Phenomena
• Order-disorder statistics. II. A two-dimensional model
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice
• Order-disorder statistics. I
• Order-disorder statistics. III. The antiferromagnetic and order-disorder transitions
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• The Spin-Wave Theory as a Variational Method and Its Application to Antiferromagnetism
• Models of Exchange Coupling in Ferromagnetic Media
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition