In unbounded spin systems at high temperature with two-body potential we prove, using the associated polymer model, that the two-point truncated correlation function decays exponentially (respectively with a power law) if the potential decays exponentially (respectively with a power law). We also give a new proof of the convergence of the Mayer series for the general polymer model. © 1982 Springer-Verlag.
Decay of correlations for infinite range interactions in unbounded spin systems / Cammarota, Camillo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 85:4(1982), pp. 517-528. [10.1007/bf01403502]
Decay of correlations for infinite range interactions in unbounded spin systems
CAMMAROTA, Camillo
1982
Abstract
In unbounded spin systems at high temperature with two-body potential we prove, using the associated polymer model, that the two-point truncated correlation function decays exponentially (respectively with a power law) if the potential decays exponentially (respectively with a power law). We also give a new proof of the convergence of the Mayer series for the general polymer model. © 1982 Springer-Verlag.File allegati a questo prodotto
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