A UNIFORM CONVEXITY METHOD FOR ESTIMATING CORRELATIONS AND CALCULATING THE DERIVATIVES OF THE FREE ENERGY IN LATTICE GAS MODELS OF KAC TYPE

Publication Name

Memoirs on Differential Equations and Mathematical Physics

Abstract

In this paper, we propose a uniform convexity assumption that will lead to a direct proof of the decay of correlations. We also discuss its consequence on the log-Sobolev inequality along with a direct method for calculating the derivatives of the free energy in certain classical unbounded lattice models.

Open Access Status

This publication is not available as open access

Volume

91

First Page

67

Last Page

84

Funding Sponsor

University of Arizona

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