DOI: 10.1017/s0305004100027419. Some generalized order-disorder transformations

Some generalized order-disorder transformations

10.1017/s0305004100027419

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

In considering the statistics of the ‘no-field’ square Ising lattice in which each unit is capable of two configurations and only nearest neighbours interact, Kramers and Wannier (3) were able to deduce an inversion transformation under which the partition function of the lattice is invariant when the temperature is transformed from a low to a high (‘inverted’) value. The important property of this inversion transformation is that its fixed point gives the transition point of the lattice.

Bibliography

Potts, R. B. (1952). Some generalized order-disorder transformations. Mathematical Proceedings of the Cambridge Philosophical Society, 48(1), 106â109.

Authors 1

R. B. Potts (first)

References 5 Referenced 1,712

10.1098/rspa.1949.0012
10.1103/PhysRev.64.178
(4) Potts R. B. D.Phil, thesis, University of Oxford (1951).
10.1103/RevModPhys.17.50
10.1103/PhysRev.60.252

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 10:52 a.m.)
Deposited	6 years, 2 months ago (June 7, 2019, 2:49 a.m.)
Indexed	1 day, 14 hours ago (Aug. 21, 2025, 2:23 p.m.)
Issued	73 years, 7 months ago (Jan. 1, 1952)
Published	73 years, 7 months ago (Jan. 1, 1952)
Published Online	16 years, 9 months ago (Oct. 24, 2008)
Published Print	73 years, 7 months ago (Jan. 1, 1952)

Funders 0

None

BibTeX

@article{Potts_1952, title={Some generalized order-disorder transformations}, volume={48}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100027419}, DOI={10.1017/s0305004100027419}, number={1}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Potts, R. B.}, year={1952}, month=jan, pages={106–109} }

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