Integrated Information, a Complexity Measure for optimal partitions
arXiv Preprint Archive April 27, 2023 Otavio Citton, Nestor Caticha
Using Tononi's integrated information theory, a complexity index for consciousness is calculated analytically for two systems of Ising spins with parallel update dynamics: a homogeneous model and a modular infinite-range model. The geometric integrated information index is computed for fixed partitions with two or three components. In the deep ferromagnetic phase, the optimal partition undergoes a transition such that the smallest component is above its critical temperature while the largest component is below. Partitioning effects are accounted for by introducing site dilution.