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Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
Abstract
The problems of an Ising model in a magnetic field and a lattice gas are proved mathematically equivalent. From this equivalence an example of a two-dimensional lattice gas is given for which the phase transition regions in the $p\ensuremath{-}v$ diagram is exactly calculated.A theorem is proved which states that under a class of general conditions the roots of the grand partition function always lie on a circle. Consequences of this theorem and its relation with practical approximation methods are discussed. All the known exact results about the two-dimensional square Ising lattice are summarized, and some new results are quoted.
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Cited by
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Langer, J. S. (1967) · Annals of Physics · doi:10.1016/0003-4916(67)90200-x · Cited by 1,311
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Scaling, universality, and renormalization: Three pillars of modern critical phenomena
Stanley, H. E. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.s358 · Cited by 939
ALICE: Physics Performance Report, Volume II
Collaboration, A., Alessandro, B., Antinori, F., Belikov, J. A., Blume, C., Dainese, A., Foka, P., Giubellino, P., Hippolyte, B., Kuhn, C., et al. (2006) · Journal of Physics G: Nuclear and Particle Physics · doi:10.1088/0954-3899/32/10/001 · Cited by 549
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Little, W. A. (1974) · From High-Temperature Superconductivity to Microminiature Refrigeration · doi:10.1007/978-1-4613-0411-1_12 · Cited by 317
Metadata
- Authors
- Lee, T. D., & Yang, C. N.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1952-08-01
- Volume
- 87
- Issue
- 3
- Pages
- 410-419
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2009768419
- Cited by
- 2,228
- References
- 0
- FWCI
- 1.82
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lee, T. D., & Yang, C. N. (1952). Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model. Physical Review. https://doi.org/10.1103/physrev.87.410
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
