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Uniqueness of one-dimensional continuum Gibbs states

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Abstract

We investigate one-dimensional continuum grandcanonical Gibbs states corresponding to finite range superstable many-body potentials. Absence of phase transitions in the sense of uniqueness of the tempered Gibbs state is proved for potentials without hard-core by first proving uniqueness of the Gibbs measures for related hard-core potentials and then taking an appropriate limit of those Gibbs measures.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA

    David Klein

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  1. David Klein
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Communicated by J. Fröhlich

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Klein, D. Uniqueness of one-dimensional continuum Gibbs states. Commun.Math. Phys. 97, 595–604 (1985). https://doi.org/10.1007/BF01221220

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  • DOI: https://doi.org/10.1007/BF01221220

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