Abstract
Using a new inequality, derived here, we obtain information about the number of pure phases which can coexist in one component spin system with (many body) ferromagnetic interactions. This extends previous results [1] for spin- 21 Ising systems to continuous spin systems.
Based on lectures given at the Rencontres Physique Mathematique held in Strasbourg in May 1977 and at the International Conference on the Mathematical Problems in Theoretical Physics held in Rome in June 1977.
Part of this work was done while the author was a visitor at IHES in Bures-sur-Yvette and in the Department Physique Theorique, CEN, Saclay, France, as a John Guggenheim Fellow on sabbatical leave from Yeshiva University, N.Y. .
Work supported by NSF Grant #MPS 75-20638.
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Lebowitz, J.L. (1978). Number of phases in one component ferromagnets. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_6
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DOI: https://doi.org/10.1007/3-540-08853-9_6
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