DOI: 10.1063/1.1665211. Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field

Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field

10.1063/1.1665211

Crossref journal-article

AIP Publishing

Journal of Mathematical Physics (317)

Abstract

An inequality for correlation functions in an Ising model with purely ferromagnetic interactions between pairs of spins is established and used to show that the magnetization in such a model is a concave function of external field H for H &gt; 0. The concavity of magnetization, which holds not only for spin-½ but also for arbitrary-spin Ising ferromagnets, provides a basis for certain thermodynamic inequalities near the ferromagnetic critical point, including one involving the ``high temperature'' indices α and γ.

Bibliography

Griffiths, R. B., Hurst, C. A., & Sherman, S. (1970). Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field. Journal of Mathematical Physics, 11(3), 790â795.

Authors 3

Robert B. Griffiths (first)
C. A. Hurst (additional)
S. Sherman (additional)

References 12 Referenced 192

10.1063/1.1697060 / J. Chem. Phys. (1965)
10.1063/1.1705219 / J. Math. Phys. (1967)
10.1063/1.1664600 / J. Math. Phys. (1968)
10.1063/1.1704228 / J. Math. Phys. (1964)
10.1063/1.1665005 / J. Math. Phys. (1969)
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10.1088/0034-4885/30/2/306 / Rept. Progr. Phys. (1967)
{'key': '2024021104351534600_r9'}
10.1103/PhysRevLett.20.990 / Phys. Rev. Letters (1968)
10.1103/PhysRev.155.545 / Phys. Rev. (1967)
10.1103/PhysRev.158.176 / Phys. Rev. (1967)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 10, 2004, 12:17 p.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 11:35 p.m.)
Indexed	1 month ago (Aug. 3, 2025, 12:28 a.m.)
Issued	55 years, 6 months ago (March 1, 1970)
Published	55 years, 6 months ago (March 1, 1970)
Published Print	55 years, 6 months ago (March 1, 1970)

Funders 0

None

BibTeX

@article{Griffiths_1970, title={Concavity of Magnetization of an Ising Ferromagnet in a Positive External Field}, volume={11}, ISSN={1089-7658}, url={http://dx.doi.org/10.1063/1.1665211}, DOI={10.1063/1.1665211}, number={3}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Griffiths, Robert B. and Hurst, C. A. and Sherman, S.}, year={1970}, month=mar, pages={790–795} }

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