Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices

TL;DR

This paper proves that chaotic size dependence does not occur in spin glasses on hierarchical lattices, showing the metastate is simple, which clarifies the behavior of these systems.

Contribution

It demonstrates the absence of chaotic size dependence in spin glasses on hierarchical lattices, providing new insights into their metastate structure.

Findings

Chaotic size dependence is absent in these systems.

The metastate for spin glasses on hierarchical lattices is simple.

Results clarify the behavior of spin glasses on hierarchical structures.

Abstract

We investigate the question of whether chaotic size dependence occurs on hierarichical lattices and demonstrate that it is not present in these systems. Our results show that the metastate for spin glasses on hierarchical lattices is simple.