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 ...

We include extra aperiodic interactions in the Ising model with competing ferromagnetic and antiferromagnetic interactions between first and second neighbors along the branches of a Cayley tree. The problem is formulated ...

We introduce aperiodic, but deterministic, dilution of bonds in the Ising model with competing ferro and antiferromagnetic interactions between first and second neighbors along the branches of a Cayley tree. The problem ...

This work analyzes the emergence of log-periodic oscillations in thermodynamic functions of Ising models on hierarchical lattices. Several situations, where the exchange interactions are periodic or aperiodic, are taken ...