Absence of second-order phase transitions in the Dobrushin uniqueness region |
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Authors: | Leonard Gross |
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Affiliation: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, New York |
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Abstract: | The Dobrushin uniqueness theorem assures that in a very large class of high-temperature classical statistical mechanical lattice models with short or long range, many-body interactions, and arbitrary compact spin space there are no first-order phase transitions. It will be shown that for the same class of interactions there are also no second-order phase transitions.Research partially supported by the National Science Foundation under Grant MCS 78-00688. |
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Keywords: | Classical lattice gases second-order phase transitions Dobrushin uniqueness theorem |
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