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On Ising's model of ferromagnetism

1936/10/01 by R. Peierls · 4 citations
Computer Science · Physics and Astronomy · Chemistry · #Neural Networks and Applications #Experimental and Theoretical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Ferromagnetism #Ising model #Condensed matter physics #Magnet #Physics #Lattice (music) #Magnetic moment #Square-lattice Ising model #Magnetic field #Quantum mechanics

paper · doi:10.1017/s0305004100019174

openalex publication_date 1936/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Ising discussed the following model of a ferromagnetic body: Assume N elementary magnets of moment μ to be arranged in a regular lattice; each of them is supposed to have only two possible orientations, which we call positive and negative. Assume further that there is an interaction energy U for each pair of neighbouring magnets of opposite direction. Further, there is an external magnetic field of magnitude H such as to produce an additional energy of − μ H (+ μ H ) for each magnet with positive (negative) direction.

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