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On Ising's model of ferromagnetism

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 − μH (+ μH) for each magnet with positive (negative) direction.

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Ising, Zeits. für Physik, 31 (1925), 253.

W. Heisenberg , Zeits. für Physik, 49 (1928), 619

W. L. Bragg and E. J. Williams , Proc. Roy. Soc. A. 145 (1934), 699

R. H. Fowler , Proc. Roy. Soc. A. 149 (1935), 1

H. A. Bethe , Proc. Roy. Soc. A. 150 (1935), 552.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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