  Criticality, observed during second-order phase transitions, is an emergent
phenomenon. The brain operates near criticality, where complex systems exhibit
high correlations. The critical brain hypothesis suggests that the brain
becomes an efficient learning system in this state but poor in memory, while
sub-criticality enhances memory but inhibits learning. As a system approaches
criticality, it develops "domain"-like regions with competing phases and
increased spatiotemporal correlations that diverge. The dynamics of these
domains depend on the system's proximity to criticality. This study
investigates the phase ordering properties of a spin-lattice model derived from
Alzheimer's and cognitively normal subjects, expecting significant differences
in their proximity to criticality. However, our findings show no conclusive
distinction in the distal properties from criticality, as reflected in the
phase ordering behavior of the Alzheimer's and cognitively normal brain.
