Absence of Phase Transitions in Hard-Core One-Dimensional Systems with Long-Range Interactions
- 1 January 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (1) , 147-154
- https://doi.org/10.1063/1.1665040
Abstract
We prove the impossibility of phase transitions for a class of infinite‐range potentials extending recent analogous results. We prove also a cluster property for the equilibrium state γ̄ and apply some collateral results to describe, in the case of finite‐range interactions, the state γ̄ in terms of a family of density distributions, and to verify a general variational property of γ̄ .Keywords
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