Uniqueness of one-dimensional continuum Gibbs states (Q1062689)
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scientific article; zbMATH DE number 3915380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of one-dimensional continuum Gibbs states |
scientific article; zbMATH DE number 3915380 |
Statements
Uniqueness of one-dimensional continuum Gibbs states (English)
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1985
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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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continuum grandcanonical Gibbs states
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finite range superstable many-body potentials
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Gibbs measures
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hard-core potentials
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