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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 − μ H (+ μ H) for each magnet with positive (negative) direction.
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Citations
Cites
Beitrag zur Theorie des Ferromagnetismus
Ising, E. (1925) · Zeitschrift für Physik · doi:10.1007/bf02980577 · Cited by 3,871
Cited by
Mermin, N. D., & Wagner, H. (1966) · Physical Review Letters · doi:10.1103/physrevlett.17.1133 · Cited by 8,363
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Wehrl, A. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.221 · Cited by 1,963
Stochastic geometry and random graphs for the analysis and design of wireless networks
Haenggi, M., Andrews, J. G., Baccelli, F., Dousse, O., & Franceschetti, M. (2009) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2009.090902 · Cited by 1,719
The emergence of consensus: a primer
Baronchelli, A. (2018) · Royal Society Open Science · doi:10.1098/rsos.172189 · Cited by 161
Metadata
- Authors
- Peierls, R.
- Venue
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 1936-10
- Volume
- 32
- Issue
- 3
- Pages
- 477-481
- ISSN
- 0305-0041 (ISSN-L)
- 1469-8064
- OpenAlex
- W2113487168
- Cited by
- 900
- References
- 1
- FWCI
- 1.11
- Type
- journal article
- Language
- en
- Open access
- closed
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- Peierls, R. (1936). On Ising's model of ferromagnetism. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/s0305004100019174
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
