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A strong variational principle for continuous spin systems

Published online by Cambridge University Press:  14 July 2016

Marc Pirlot
Marc Pirlot*
Affiliation:
Université de l'Etat à Mons
*
∗Postal address: Université de l'Etat à Mons, Place Warocqué 17, 7000 Mons, Belgium.
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Abstract

We prove in the setting of the system of unbounded spins developed by Lebowitz and Presutti, a strong variational principle analogous to Lanford and Ruelle's for discrete spins. We establish this result for finite-range regular and superstable potentials satisfying a condition which enables us to define the thermodynamic energy of the system.

Keywords

EQUILIBRIUM STATISTICAL MECHANICSCONTINUOUS SPINS SYSTEMSVARIATIONAL PRINCIPLE
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 47 - 58
Copyright
Copyright © Applied Probability Trust 1980 

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References

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