Super-exponential convergence of Gibbs states in iterated schemes lattice models

Abstract

In this note we consider Statistical Mechanics lattice systems defined from iterative schemes Φ = {φ _j,i : A(i, j) = 1} , and study the convergence of Gibbs ensembles supported on periodic configurations of the system. To establish the results will be envisaged facts from the Grothendieck theory for nuclear operators.

Keywords:

• Gibbs states
• iterated schemes
• statistical mechanics models