Abstract
We introduce the notion of a phase transition of continuous order. As a model which displays such a phase transition an Ising model on a Cayley tree is solved exactly and discussed in detail.
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References
Müller-Hartmann, E., Zittartz, J.: Phys. Rev. Letters33, 893 (1974)
Zittartz, J.: In: Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics (ed. H. Araki), Kyoto, Japan (1975), to be published
Meanwhile it has been shown that the classicalX Y-model in two dimensions also exhibits the phase transition of continuous order: J. Zittartz, to be published
See, e.g.: Ruelle, D.: Statistical Mechanics, Amsterdam: W.A. Benjamin, Inc., 1969
Eggarter, T.P.: Phys. Rev. B9, 2989 (1974)
Müller-Hartmann, E.: To be published
Matsuda, H.: Progr. Th. Physics51, 1053 (1974)
von Heimburg, J., Thomas, H.: J. Phys. C7, 3433 (1974)
Runnels, L.K.: J. Math. Phys.8, 2081 (1968)
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Müller-Hartmann, E., Zittartz, J. Phase transitions of continuous order: Ising model on a Cayley tree. Z Physik B 22, 59–67 (1975). https://doi.org/10.1007/BF01325460
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DOI: https://doi.org/10.1007/BF01325460