Small field chaos in spin glasses: Universal predictions from the ultrametric tree and comparison with numerical simulations.

ABSTRACT: Replica symmetry breaking (RSB) for spin glasses predicts that the equilibrium configuration at two different magnetic fields are maximally decorrelated. We show that this theory presents quantitative predictions for this chaotic behavior under the application of a vanishing external magnetic field, in the crossover region where the field intensity scales proportionally to [Formula: see text], being N the system size. We show that RSB theory provides universal predictions for chaotic behavior: They depend only on the zero-field overlap probability function [Formula: see text] and are independent of other system features. In the infinite volume limit, each spin-glass sample is characterized by an infinite number of states that have a tree-like structure. We generate the corres

SUBMITTER: Aguilar-Janita M 

PROVIDER: S-EPMC11459185 | biostudies-literature | 2024 Oct

REPOSITORIES: biostudies-literature