Thermodynamical behavior of aperiodic Ising models on hierarchical lattices

Abstract

This work brings an analysis of the behavior of Ising spins on a hierarchical lattice subject to relevant fluctuations on the coupling constants that are induced by a deterministic aperiodic sequence. The thermodynamical functions are evaluated after the numerical iteration of a set of coupled maps, obtained within the method of transfer matrices. The typical specific heat cusp of the homogeneous system is destroyed by the fluctuations, which also cause changes in the values of all critical exponents.