On Ising's model of ferromagnetism

1936 Mathematical Proceedings of the Cambridge Philosophical Society 870 citations

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.

Keywords

FerromagnetismIsing modelCondensed matter physicsMagnetPhysicsLattice (music)Magnetic momentSquare-lattice Ising modelMagnetic fieldQuantum mechanics

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Publication Info

Year
1936
Type
article
Volume
32
Issue
3
Pages
477-481
Citations
870
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R. Peierls (1936). On Ising's model of ferromagnetism. Mathematical Proceedings of the Cambridge Philosophical Society , 32 (3) , 477-481. https://doi.org/10.1017/s0305004100019174

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DOI
10.1017/s0305004100019174