Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions |
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| Authors: | David Klein |
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| Affiliation: | (1) Department of Mathematics, Louisiana State University, 70803 Baton Rouge, Louisiana |
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| Abstract: | ![]()
We consider one-dimensional grand-canonical continuum Gibbs states corresponding to slowly decaying, superstable, many-body interactions. Absence of phase transitions, in the sense of uniqueness of the tempered Gibbs state, is proved for interactions with anNth body hardcore for arbitrarily largeN. |
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| Keywords: | Gibbs state pure phase one-dimensional continuum long range interaction |
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